132315191321040
132,315,191,321,040 is an even composite number composed of six prime numbers multiplied together.
132315191321040 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred forty divisors.
Prime factorization of 132315191321040:
24 × 33 × 5 × 73 × 136 × 37
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 7 × 13 × 13 × 13 × 13 × 13 × 13 × 37)See below for interesting mathematical facts about the number 132315191321040 from the Numbermatics database.
Names of 132315191321040
- Cardinal: 132315191321040 can be written as One hundred thirty-two trillion, three hundred fifteen billion, one hundred ninety-one million, three hundred twenty-one thousand and forty.
Scientific notation
- Scientific notation: 1.3231519132104 × 1014
Factors of 132315191321040
Divisors of 132315191321040
- Number of divisors d(n): 2240
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 35 36 37 39 40 42 45 48 49 52 54 56 60 63 65 70 72 74 78 80 84 90 91 98 104 105 108 111 112 117 120 126 130 135 140 144 147 148 156 168 169 180 182 185 189 195 196 208 210 216 222 234 240 245 252 259 260 270 273 280 294 296 312 315 333 336 338 343 351 360 364 370 378 390 392 420 432 441 444 455 468 481 490 504 507 518 520 540 546 555 560 585 588 592 624 630 637 666 676 686 702 720 728 735 740 756 777 780 784 819 840 845 882 888 910 936 945 962 980 999 1008 1014 1029 1036 1040 1080 1092 1110 1170 1176 1183 1260 1274 1295 1323 1332 1352 1365 1372 1404 1443 1456 1470 1480 1512 1521 1554 1560 1638 1665 1680 1690 1715 1755 1764 1776 1813 1820 1872 1890 1911 1924 1960 1998 2028 2058 2072 2160 2184 2197 2205 2220 2331 2340 2352 2366 2405 2457 2520 2535 2548 2590 2646 2664 2704 2730 2744 2808 2886 2940 2960 3024 3042 3087 3108 3120 3185 3276 3330 3367 3380 3430 3510 3528 3549 3626 3640 3780 3822 3848 3885 3920 3996 4056 4095 4116 4144 4329 4368 4394 4410 4440 4459 4563 4662 4680 4732 4810 4914 4995 5040 5070 5096 5145 5180 5292 5328 5439 5460 5488 5616 5733 5772 5880 5915 6084 6174 6216 6253 6370 6552 6591 6615 6660 6734 6760 6860 6993 7020 7056 7098 7215 7252 7280 7560 7605 7644 7696 7770 7992 8112 8190 8232 8281 8658 8788 8820 8880 8918 9065 9126 9261 9324 9360 9464 9555 9620 9828 9990 10101 10140 10192 10290 10360 10584 10647 10878 10920 10985 11466 11544 11655 11760 11830 12168 12285 12348 12432 12506 12691 12740 12987 13104 13182 13230 13320 13377 13468 13520 13720 13986 14040 14196 14430 14504 15120 15210 15288 15379 15435 15540 15984 16317 16380 16464 16562 16835 17199 17316 17576 17640 17745 17836 18130 18252 18522 18648 18759 18928 19110 19240 19656 19773 19980 20202 20280 20580 20720 21168 21294 21645 21756 21840 21970 22295 22815 22932 23088 23310 23569 23660 24336 24570 24696 24843 25012 25382 25480 25974 26364 26460 26640 26754 26936 27195 27440 27972 28080 28392 28561 28665 28860 29008 30303 30420 30576 30758 30870 31080 31265 31941 32634 32760 32955 33124 33670 34398 34632 34965 35152 35280 35490 35672 36260 36504 37044 37296 37518 38073 38220 38480 39312 39546 39960 40131 40404 40560 41160 41405 42588 43290 43512 43771 43940 44590 45630 45864 46137 46305 46620 47138 47320 48951 49140 49392 49686 50024 50505 50764 50960 51948 52728 52920 53235 53508 53872 54390 55944 56277 56784 57122 57330 57720 57967 59319 60606 60840 61516 61740 62160 62530 63455 63882 64935 65268 65520 65910 66248 66885 67340 68796 69264 69930 70707 70980 71344 72520 73008 74088 74529 75036 76146 76440 76895 79092 79920 80262 80808 81289 81585 82320 82810 85176 85683 85995 86580 87024 87542 87880 89180 90909 91260 91728 92274 92610 93240 93795 94276 94640 97902 98280 98865 99372 100048 101010 101528 103896 105456 105840 106470 107016 107653 108780 111888 112554 114219 114244 114660 115440 115934 117845 118638 120393 121212 121680 123032 123480 124215 125060 126910 127764 129870 130536 131313 131820 132496 133770 134680 137592 138411 139860 141414 141960 142805 145040 148176 149058 150072 151515 152292 152880 153790 158184 159705 160524 161616 162578 163170 164983 165620 168831 170352 171366 171990 173160 173901 175084 175760 178360 181818 182520 184548 185220 186480 187590 188552 190365 195804 196560 197730 198744 199927 200655 202020 203056 207792 212121 212940 214032 215306 217560 218855 223587 225108 228438 228488 229320 230685 231868 235690 237276 240786 242424 243867 244755 246064 246960 248430 250120 253820 255528 257049 259740 261072 262626 263640 267540 269360 275184 276822 279720 281385 282828 283920 285610 289835 296595 298116 300144 303030 304584 306397 307580 316368 319410 321048 322959 325156 326340 329966 331240 337662 342657 342732 343980 346320 347802 350168 353535 356720 363636 365040 369096 370440 371293 372645 375180 377104 380730 391608 393939 395460 397488 399854 401310 404040 406445 415233 424242 425880 428415 430612 435120 437710 447174 450216 454545 456876 456976 458640 461370 463736 471380 474552 481572 484848 487734 489510 494949 496860 500240 507640 511056 514098 519480 521703 525252 527280 535080 538265 553644 559440 562770 565656 569023 571095 571220 579670 593190 596232 599781 601965 606060 609168 612794 615160 636363 638820 642096 645918 650312 652680 656565 659932 662480 675324 685314 685464 687960 692055 695604 700336 707070 727272 731601 738192 740880 742586 745290 750360 753571 761460 771147 783216 787878 790920 799708 802620 808080 812890 824915 830466 844155 848484 851760 856830 861224 869505 875420 894348 900432 909090 913752 919191 922740 927472 942760 949104 963144 968877 975468 979020 989898 993720 999635 1015280 1028196 1038960 1043406 1050504 1056757 1060605 1070160 1076530 1107288 1113879 1117935 1125540 1131312 1138046 1142190 1142440 1159340 1181817 1186380 1192464 1199562 1203930 1212120 1219335 1225588 1230320 1272726 1277640 1285245 1291836 1300624 1305360 1313130 1319864 1350648 1370628 1370928 1375920 1384110 1391208 1399489 1414140 1454544 1463202 1484847 1485172 1490580 1500720 1507142 1522920 1531985 1542294 1565109 1575756 1581840 1599416 1605240 1614795 1625780 1649830 1660932 1688310 1696968 1707069 1713285 1713660 1722448 1739010 1750840 1788696 1799343 1818180 1827504 1838382 1845480 1856465 1885520 1926288 1937754 1950936 1958040 1969695 1979796 1987440 1999270 2056392 2076165 2086812 2101008 2113514 2121210 2144779 2153060 2194803 2214576 2227758 2235870 2251080 2260713 2276092 2284380 2284880 2318680 2363634 2372760 2399124 2407860 2424240 2438670 2451176 2474745 2545452 2555280 2570490 2583672 2599051 2608515 2626260 2639728 2701296 2741256 2757573 2768220 2782416 2798978 2828280 2845115 2906631 2926404 2969694 2970344 2981160 2998905 3014284 3045840 3063970 3084588 3130218 3151512 3170271 3181815 3198832 3210480 3229590 3251560 3299660 3321864 3341637 3376620 3393936 3414138 3426570 3427320 3478020 3501680 3577392 3598686 3636360 3658005 3676764 3690960 3712930 3767855 3855735 3875508 3901872 3916080 3939390 3959592 3983161 3998540 4112784 4152330 4173624 4198467 4227028 4242420 4289558 4306120 4389606 4454541 4455516 4471740 4502160 4521426 4552184 4568760 4595955 4637360 4727268 4745520 4798248 4815720 4826809 4844385 4877340 4902352 4949490 5090904 5121207 5140980 5167344 5198102 5217030 5252520 5283785 5398029 5482512 5515146 5536440 5569395 5597956 5656560 5690230 5813262 5852808 5909085 5939388 5940688 5962320 5997810 6028568 6127940 6169176 6260436 6303024 6340542 6363630 6434337 6459180 6503120 6599320 6643728 6683274 6753240 6782139 6828276 6853140 6854640 6956040 6997445 7197372 7272720 7316010 7353528 7397299 7424235 7425860 7535710 7711470 7751016 7797153 7825545 7878780 7919184 7966322 7997080 8272719 8304660 8347248 8396934 8454056 8484840 8535345 8579116 8612240 8779212 8909082 8911032 8943480 8996715 9042852 9104368 9137520 9191910 9454536 9510813 9596496 9631440 9653618 9688770 9754680 9796423 9898980 10024911 10181808 10242414 10281960 10396204 10434060 10505040 10567570 10723895 10796058 10974015 11030292 11072880 11138790 11195912 11303565 11380460 11626524 11705616 11818170 11878776 11949483 11995620 12057136 12255880 12338352 12520872 12595401 12681084 12727260 12868674 12918360 12995255 13198640 13366548 13506480 13564278 13656552 13706280 13737841 13787865 13912080 13994890 14394744 14480427 14533155 14632020 14707056 14794598 14848470 14851720 15071420 15363621 15422940 15502032 15594306 15651090 15757560 15851355 15932644 15994160 16545438 16609320 16708185 16793868 16908112 16969680 17070690 17158232 17558424 17818164 17822064 17886960 17993430 18085704 18193357 18383820 18909072 19021626 19303011 19307236 19377540 19509360 19592846 19797960 19915805 20049822 20346417 20484828 20563920 20792408 20868120 20992335 21135140 21447790 21592116 21948030 22060584 22191897 22272705 22277580 22391824 22607130 22760920 23253048 23391459 23636340 23757552 23898966 23991240 24134045 24511760 25041744 25190802 25362168 25454520 25606035 25737348 25836720 25990510 26733096 26990145 27128556 27313104 27412560 27475682 27575730 27882127 27989780 28532439 28789488 28960854 29066310 29264040 29389269 29589196 29696940 29703440 30142840 30727242 30845880 31188612 31302180 31515120 31702710 31865288 32171685 33090876 33218640 33416370 33587736 33787663 33910695 34141380 34316464 35116848 35636328 35848449 35986860 36171408 36386714 36767640 36986495 37786203 38043252 38606022 38614472 38755080 38985765 39185692 39595920 39831610 40099644 40692834 40969656 41213523 41363595 41584816 41736240 41984670 42270280 42895580 43184232 43441281 43896060 44121168 44383794 44545410 44555160 45214260 45521840 46506096 46782918 47272680 47554065 47797932 47982480 48268090 48982115 50124555 50381604 50724336 50909040 51212070 51474696 51781093 51981020 53466192 53980290 54257112 54580071 54951364 55151460 55764254 55979560 57064878 57909033 57921708 58132620 58528080 58778538 59178392 59393880 59747415 60285680 61454484 61691760 62377224 62604360 62977005 63405420 63730576 64343370 66181752 66575691 66832740 67175472 67575326 67821390 68282760 68689205 70174377 71272656 71696898 71973720 72402135 72773428 73535280 73972990 75572406 76086504 76818105 77212044 77228944 77510160 77971530 78371384 79663220 80199288 81385668 81939312 82427046 82727190 83646381 83969340 84540560 85791160 86368464 86882562 87792120 88167807 88767588 89090820 89110320 90428520 90966785 93565836 94545360 95108130 95595864 96164887 96515055 96536180 97964230 100249110 100763208 101362989 101732085 102424140 102949392 103562186 103962040 107545347 107960580 108514224 109160142 109902728 110302920 110959485 111528508 111959120 114129756 115818066 115843416 116265240 116957295 117557076 118356784 118787760 119494830 122908968 123640569 124754448 125208720 125954010 126810840 127353499 128686740 130323843 132363504 133151382 133665480 135150652 135642780 136565520 137378410 139410635 140348754 142662195 143393796 143947440 144804270 145546856 146946345 147945980 151144812 152173008 153636210 154424088 155343279 155943060 156742768 159326440 160398576 162771336 163740213 164854092 165454380 167292762 167938680 168938315 171582320 173765124 175584240 176335614 177535176 178181640 178591933 179242245 180857040 181933570 187131672 188931015 190216260 191191728 192329774 193030110 193072360 195928460 199727073 200498220 201526416 202725978 203464170 204848280 206067615 207124372 207924080 215090694 215921160 217206405 218320284 219805456 220605840 221918970 223057016 228259512 231636132 231686832 232530480 233914590 235114152 236513641 238989660 245817936 247281138 250939143 251908020 253621680 254706998 257373480 258905465 260647686 264503421 266302764 267330960 270301304 271285560 272900355 274756820 278821270 280697508 285324390 286787592 288494661 289545165 289608540 291093712 293892690 295891960 302289624 304088967 307272420 308848176 310686558 311886120 318652880 325542672 327480426 329708184 330908760 332878455 334585524 335877360 337876630 347530248 350871885 352671228 355070352 356363280 357183866 358484490 362467651 363867140 370921707 374263344 377862030 380432520 382060497 384659548 386060220 386144720 391856920 399454146 400996440 405451956 406928340 409696560 412135230 414248744 418231905 430181388 431842320 434412810 436640568 440839035 443837940 446114032 456519024 463272264 466029837 467829180 470228304 473027282 477979320 480824435 491220639 494562276 501878286 503816040 506814945 509413996 514746960 517810930 521295372 529006842 532605528 535775799 537726735 540602608 542571120 545800710 549513640 557642540 561395016 570648780 573575184 576989322 579090330 579217080 587785380 591783920 604579248 608177934 614544840 618202845 621373116 623772240 636767495 651619215 654960852 659416368 661817520 665756910 669171048 673154209 675753260 695060496 701743770 705342456 709540923 714367732 716968980 724935302 727734280 741843414 752817429 755724060 760865040 764120994 769319096 772120440 776716395 783713840 798908292 801992880 810903912 813856680 818701065 824270460 828497488 836463810 860362776 865483983 868825620 873281136 881678070 887675880 892959665 912266901 926544528 932059674 935658360 946054564 955958640 961648870 982441278 989124552 998635365 1003756572 1007632080 1013629890 1018827992 1035621860 1042590744 1058013684 1065211056 1071551598 1075453470 1087402953 1091601420 1099027280 1115285080 1122790032 1141297560 1146181491 1153978644 1158180660 1158434160 1175570760 1182568205 1216355868 1229089680 1236405690 1242746232 1250143531 1254695715 1273534990 1303238430 1309921704 1322517105 1331513820 1338342096 1346308418 1351506520 1398089511 1403487540 1410684912 1419081846 1428735464 1433937960 1442473305 1449870604 1455468560 1483686828 1505634858 1511448120 1520444835 1528241988 1538638192 1544240880 1553432790 1597816584 1607327397 1621807824 1627713360 1637402130 1648540920 1655595487 1672927620 1720725552 1730967966 1737651240 1763356140 1775351760 1785919330 1812338255 1824533802 1854608535 1864119348 1871316720 1892109128 1910302485 1923297740 1964882556 1978249104 1997270730 2007513144 2019462627 2027259780 2037655984 2071243720 2085181488 2116027368 2128622769 2143103196 2150906940 2174805906 2183202840 2230570160 2282595120 2292362982 2307957288 2316361320 2330149185 2351141520 2365136410 2432711736 2456103195 2472811380 2485492464 2500287062 2509391430 2547069980 2596451949 2606476860 2619843408 2645034210 2663027640 2678878995 2692616836 2703013040 2796179022 2806975080 2838163692 2857470928 2867875920 2884946610 2899741208 2967373656 3011269716 3022896240 3040889670 3056483976 3106865580 3195633168 3214654794 3262208859 3274804260 3297081840 3311190974 3345855240 3365771045 3438544473 3461935932 3475302480 3526712280 3547704615 3571838660 3624676510 3649067604 3709217070 3728238696 3750430593 3764087145 3784218256 3820604970 3846595480 3929765112 3994541460 4015026288 4038925254 4054519560 4142487440 4232054736 4257245538 4286206392 4301813880 4327419915 4349611812 4366405680 4561334505 4584725964 4615914576 4632722640 4660298370 4712079463 4730272820 4821982191 4865423472 4912206390 4945622760 4966786461 5000574124 5018782860 5094139960 5192903898 5212953720 5290068420 5326055280 5357757990 5385233672 5437014765 5592358044 5613950160 5676327384 5730907455 5769893220 5799482416 5934747312 6022539432 6058387881 6081779340 6112967952 6213731160 6250717655 6385868307 6429309588 6524417718 6549608520 6622381948 6691710480 6731542090 6877088946 6923871864 6990447555 7053424560 7095409230 7143677320 7249353020 7298135208 7418434140 7456477392 7500861186 7528174290 7641209940 7693190960 7859530224 7989082920 8036636985 8077850508 8109039120 8277977435 8514491076 8572412784 8603627760 8654839830 8699223624 8751004717 9122669010 9169451928 9320596740 9424158926 9460545640 9643964382 9786626577 9824412780 9891245520 9933572922 10001148248 10037565720 10097313135 10188279920 10385807796 10425907440 10580136840 10643113845 10715515980 10770467344 10874029530 11184716088 11251291779 11352654768 11461814910 11539786440 12045078864 12116775762 12163558680 12427462320 12501435310 12771736614 12858619176 12982259745 13048835436 13099217040 13244763896 13463084180 13754177892 13847743728 13980895110 14136238389 14190818460 14287354640 14498706040 14596270416 14836868280 14900359383 15001722372 15056348580 15282419880 15978165840 16073273970 16155701016 16311044295 16555954870 17028982152 17192722365 17309679660 17398447248 17502009434 18175163643 18245338020 18338903856 18641193480 18752152965 18848317852 18921091280 19287928764 19573253154 19648825560 19867145844 20002296496 20075131440 20194626270 20771615592 21160273680 21286227690 21431031960 21748059060 22369432176 22502583558 22923629820 23079572880 23560397315 24109910955 24233551524 24327117360 24833932305 25002870620 25543473228 25717238352 25964519490 26097670872 26253014151 26489527792 26926168360 27508355784 27961790220 28272476778 28381636920 28997412080 29673736560 29800718766 30003444744 30112697160 30291939405 30564839760 31929341535 32146547940 32311402032 32622088590 33111909740 33753875337 34057964304 34385444730 34619359320 35004018868 36350327286 36490676040 37282386960 37504305930 37696635704 38575857528 39146506308 39297651120 39734291688 40389252540 41543231184 42408715167 42572455380 42862063920 43496118120 43755023585 44701078149 45005167116 45847259640 47120794630 48219821910 48467103048 48933132885 49667864610 50005741240 51086946456 51929038980 52195341744 52506028302 53852336720 55016711568 55923580440 56256458895 56544953556 56763273840 59601437532 60006889488 60225394320 60583878810 61257033019 63858683070 64293095880 65244177180 66223819480 67507750674 68770889460 69238718640 70008037736 70681191945 72700654572 72981352080 74501796915 75008611860 75393271408 77151715056 78293012616 78759042453 79468583376 80778505080 84817430334 85144910760 86992236240 87510047170 89402156298 90010334232 90875818215 91694519280 94241589260 96439643820 96934206096 97866265770 99335729220 100011482480 102173892912 103858077960 105012056604 111847160880 112512917790 113089907112 119202875064 121167757620 122514066038 127226145501 127717366140 128586191760 130488354360 131265070755 132447638960 135015501348 137541778920 140016075472 141362383890 145401309144 149003593830 150017223720 156586025232 157518084906 161557010160 168769376685 169634860668 170289821520 175020094340 178804312596 180020668464 181751636430 183771099057 188483178520 192879287640 195732531540 198671458440 207716155920 210024113208 212043575835 223505390745 225025835580 226179814224 236277127359 238405750128 242335515240 245028132076 254452291002 255434732280 260976708720 262530141510 270031002696 275083557840 282724767780 290802618288 298007187660 300034447440 306285165095 315036169812 337538753370 339269721336 350040188680 357608625192 363503272860 367542198114 376966357040 385758575280 391465063080 393795212265 397342916880 420048226416 424087151670 447010781490 450051671160 472554254718 484671030480 490056264152 508904582004 510869464560 525060283020 540062005392 551313297171 565449535560 596014375320 612570330190 630072339624 636130727505 675077506740 678539442672 700080377360 715217250384 727006545720 735084396228 782930126160 787590424530 848174303340 894021562980 900103342320 918855495285 945108509436 980112528304 1017809164008 1050120566040 1102626594342 1130899071120 1181385636795 1192028750640 1225140660380 1260144679248 1272261455010 1350155013480 1454013091440 1470168792456 1575180849060 1653939891513 1696348606680 1788043125960 1837710990570 1890217018872 2035618328016 2100241132080 2205253188684 2362771273590 2450281320760 2544522910020 2700310026960 2756566485855 2940337584912 3150361698120 3307879783026 3392697213360 3576086251920 3675421981140 3780434037744 4410506377368 4725542547180 4900562641520 5089045820040 5513132971710 6300723396240 6615759566052 7350843962280 8269699457565 8821012754736 9451085094360 10178091640080 11026265943420 13231519132104 14701687924560 16539398915130 18902170188720 22052531886840 26463038264208 33078797830260 44105063773680 66157595660520 132315191321040
- Sum of all divisors σ(n): 591342014784000
- Sum of proper divisors (its aliquot sum) s(n): 459026823462960
- 132315191321040 is an abundant number, because the sum of its proper divisors (459026823462960) is greater than itself. Its abundance is 326711632141920
Bases of 132315191321040
- Binary: 111100001010111000001111111101000100001110100002
- Hexadecimal: 0x785707FA21D0
- Base-36: 1AWGRCMVO0
Squares and roots of 132315191321040
- 132315191321040 squared (1323151913210402) is 17507309854323418940346681600
- 132315191321040 cubed (1323151913210403) is 2316483052891532108496979198729084260864000
-
The
square root of 132315191321040 is 11502834.0560507087 -
The
cube root of 132315191321040 is 50956.9277909809
Scales and comparisons
How big is 132315191321040?- 132,315,191,321,040 seconds is equal to 4,207,213 years, 41 weeks, 6 days, 11 hours, 24 minutes.
-
To count from 1 to 132,315,191,321,040 would take you about ten million, five hundred eighteen thousand and thirty-four years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 132315191321040 cubic inches would be around 4246.4 feet tall.
Recreational maths with 132315191321040
- 132315191321040 backwards is 040123191513231
- 132315191321040 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 132315191321040's digits is 36
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 132315191321040 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
APA style:
Numbermatics. (2024). Number 132315191321040 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/132315191321040/
Chicago style:
Numbermatics. 2024. "Number 132315191321040 - Facts about the integer". https://numbermatics.com/n/132315191321040/
The information we have on file for 132315191321040 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 132315191321040, math, Factors of 132315191321040, curriculum, school, college, exams, university, Prime factorization of 132315191321040, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-two trillion, three hundred fifteen billion, one hundred ninety-one million, three hundred twenty-one thousand and forty.