135747013152960
135,747,013,152,960 is an even composite number composed of seven prime numbers multiplied together.
135747013152960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 135747013152960:
26 × 32 × 5 × 113 × 31 × 612 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 11 × 11 × 31 × 61 × 61 × 307)See below for interesting mathematical facts about the number 135747013152960 from the Numbermatics database.
Names of 135747013152960
- Cardinal: 135747013152960 can be written as One hundred thirty-five trillion, seven hundred forty-seven billion, thirteen million, one hundred fifty-two thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3574701315296 × 1014
Factors of 135747013152960
Divisors of 135747013152960
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 31 32 33 36 40 44 45 48 55 60 61 62 64 66 72 80 88 90 93 96 99 110 120 121 122 124 132 144 155 160 165 176 180 183 186 192 198 220 240 242 244 248 264 279 288 305 307 310 320 330 341 352 360 363 366 372 396 440 465 480 484 488 495 496 528 549 558 576 605 610 614 620 660 671 682 704 720 726 732 744 792 880 915 921 930 960 968 976 990 992 1023 1056 1089 1098 1116 1210 1220 1228 1240 1320 1331 1342 1364 1395 1440 1452 1464 1488 1535 1584 1705 1760 1815 1830 1842 1860 1891 1936 1952 1980 1984 2013 2046 2112 2178 2196 2232 2420 2440 2456 2480 2640 2662 2684 2728 2745 2763 2790 2880 2904 2928 2976 3069 3070 3168 3355 3377 3410 3520 3630 3660 3684 3720 3721 3751 3782 3872 3904 3960 3993 4026 4092 4356 4392 4464 4605 4840 4880 4912 4960 5115 5280 5324 5368 5445 5456 5490 5526 5580 5673 5808 5856 5952 6039 6138 6140 6336 6655 6710 6754 6820 7260 7320 7368 7381 7440 7442 7502 7564 7744 7920 7986 8052 8184 8712 8784 8928 9210 9455 9517 9680 9760 9824 9920 10065 10131 10230 10560 10648 10736 10890 10912 10980 11052 11160 11163 11253 11346 11616 11712 11979 12078 12276 12280 13310 13420 13508 13640 13815 14520 14640 14736 14762 14880 14884 15004 15128 15345 15840 15972 16104 16368 16885 17019 17424 17568 17856 18420 18605 18727 18755 18910 19034 19360 19520 19648 19965 20130 20262 20460 20801 21296 21472 21780 21824 21960 22104 22143 22320 22326 22506 22692 23232 23958 24156 24552 24560 26620 26840 27016 27280 27630 28365 28551 29040 29280 29472 29524 29760 29768 30008 30195 30256 30393 30690 31680 31944 32208 32736 33489 33759 33770 34038 34848 35136 36840 36905 37147 37210 37454 37510 37820 38068 38720 39930 40260 40524 40920 40931 41261 41602 42592 42944 43560 43920 44208 44286 44640 44652 45012 45384 47585 47916 48312 49104 49120 50655 53240 53680 54032 54560 55260 55815 56181 56265 56730 57102 58080 58560 58944 59048 59536 59895 60016 60390 60512 60786 61380 62403 63888 64416 65472 66429 66978 67518 67540 68076 69696 73680 73810 74294 74420 74908 75020 75640 76136 79860 80520 81048 81191 81840 81862 82522 83204 85095 85184 85653 87120 87840 88416 88572 89280 89304 90024 90768 93635 95170 95832 96624 98208 98240 101310 104005 104687 106480 107360 108064 109120 110520 110715 111441 111630 112362 112530 113460 114204 115351 116160 118096 119072 119790 120032 120780 121024 121572 122760 122793 123783 124806 127776 128832 132858 133956 135036 135080 136152 142755 147360 147620 148588 148840 149816 150040 151280 151965 152272 159720 161040 162096 162382 163680 163724 165044 166408 167445 168543 168795 170190 171306 174240 175680 176832 177144 178608 180048 181536 185735 187209 187270 190340 191664 193248 196416 202620 204655 205997 206305 208010 209374 212960 214720 216128 221040 221430 222882 223260 224724 225060 226920 228408 228811 230702 236192 238144 239580 240064 241560 243144 243573 245520 245586 247566 249612 255552 265716 267912 270072 270160 272304 280905 285510 294720 295240 297176 297680 299632 300080 302560 303930 304544 312015 314061 319440 322080 324192 324764 327360 327448 330088 332145 332816 334323 334890 337086 337590 340380 342612 346053 348480 354288 357216 360096 363072 368379 371349 371470 374418 374540 380680 383328 386496 405240 405955 408617 409310 411994 412610 416020 418748 425920 428265 442080 442860 445764 446520 449448 450120 450241 453840 456816 457622 461404 472384 479160 483120 486288 487146 491040 491172 495132 499224 523435 531432 535824 540144 540320 544608 557205 561810 571020 576755 580537 590480 594352 595360 599264 600160 605120 607860 609088 613965 617991 618915 624030 628122 638880 644160 648384 649528 654896 660176 664290 665632 668646 669780 674172 675180 680760 685224 686433 692106 708576 714432 720192 730719 736758 742698 742940 748836 749080 761360 766656 810480 811910 817234 818620 823988 825220 832040 837496 842715 856530 884160 885720 891528 893040 898896 900240 900482 907680 913632 915244 922808 936045 942183 958320 966240 972576 974292 982080 982344 990264 998448 1029985 1038159 1046870 1062864 1071648 1080288 1080640 1089216 1114410 1123620 1142040 1142347 1144055 1151557 1153510 1161074 1180960 1188704 1190720 1198528 1200320 1215720 1217865 1225851 1227930 1235982 1237830 1248060 1256244 1268861 1277760 1299056 1309792 1320352 1328580 1331264 1337292 1339560 1348344 1350360 1350723 1361520 1370448 1372866 1384212 1417152 1461438 1473516 1485396 1485880 1497672 1498160 1522720 1570305 1620960 1623820 1634468 1637240 1647976 1650440 1664080 1671615 1674992 1685430 1713060 1730265 1741611 1771440 1783056 1786080 1797792 1800480 1800964 1815360 1827264 1830488 1841895 1845616 1853973 1856745 1872090 1884366 1916640 1932480 1945152 1948584 1964688 1980528 1996896 2043085 2059299 2059970 2076318 2093740 2125728 2143296 2160576 2228820 2247240 2251205 2265967 2284080 2284694 2288110 2303114 2307020 2322148 2361920 2377408 2431440 2435730 2451702 2455860 2471964 2475660 2496120 2512488 2516921 2537722 2598112 2619584 2640704 2657160 2674584 2679120 2696688 2700720 2701446 2723040 2740896 2745732 2768424 2902685 2922876 2947032 2970792 2971760 2995344 2996320 3045440 3089955 3140610 3241920 3247640 3268936 3274480 3295952 3300880 3328160 3343230 3349984 3370860 3426120 3427041 3432165 3454671 3460530 3483222 3542880 3566112 3572160 3595584 3600960 3601928 3653595 3660976 3677553 3683790 3691232 3707946 3713490 3744180 3768732 3806583 3833280 3897168 3929376 3961056 3993792 4052169 4086170 4118598 4119940 4152636 4187480 4251456 4457640 4494480 4502410 4531934 4568160 4569388 4576220 4606228 4614040 4644296 4710915 4862880 4871460 4903404 4911720 4943928 4951320 4952651 4992240 5024976 5033842 5075444 5190795 5196224 5224833 5314320 5349168 5358240 5393376 5401440 5402892 5446080 5481792 5491464 5536848 5711735 5757785 5805370 5845752 5894064 5941584 5943520 5990688 5992640 6129255 6179910 6281220 6344305 6385907 6495280 6537872 6548960 6591904 6601760 6656320 6686460 6699968 6741720 6753615 6797901 6852240 6854082 6864330 6909342 6921060 6966444 7085760 7132224 7203856 7307190 7321952 7355106 7367580 7382464 7415892 7426980 7488360 7537464 7550763 7613166 7794336 7858752 7922112 8104338 8172340 8237196 8239880 8305272 8374960 8708055 8915280 8988960 9004820 9063868 9136320 9138776 9152440 9212456 9228080 9269865 9288592 9421830 9725760 9742920 9806808 9823440 9887856 9902640 9905302 9984480 10049952 10067684 10150888 10281123 10296495 10364013 10381590 10449666 10628640 10698336 10716480 10786752 10802880 10805784 10982928 11073696 11329835 11419749 11423470 11515570 11610740 11691504 11788128 11883168 11887040 11981376 12258510 12359820 12562440 12565817 12584605 12667127 12688610 12771814 12990560 13075744 13097920 13183808 13203520 13372920 13483440 13507230 13595802 13704480 13708164 13728660 13818684 13842120 13932888 13957471 14407712 14614380 14643904 14710212 14735160 14831784 14853960 14857953 14976720 15074928 15101526 15226332 15588672 16208676 16344680 16474392 16479760 16610544 16749920 17135205 17273355 17416110 17830560 17977920 18009640 18127736 18277552 18304880 18387765 18424912 18456160 18539730 18577184 18843660 19032915 19157721 19485840 19613616 19646880 19775712 19805280 19810604 19968960 20099904 20135368 20260845 20301776 20393703 20562246 20592990 20728026 20763180 20899332 21257280 21396672 21611568 21965856 22147392 22652289 22659670 22839498 22846940 23031140 23221480 23383008 23576256 23766336 24517020 24719640 24763255 24925637 25124880 25131634 25169210 25334254 25377220 25543628 25981120 26124165 26151488 26745840 26966880 27014460 27191604 27408960 27416328 27457320 27637368 27684240 27865776 27914942 28815424 29228760 29420424 29470320 29663568 29707920 29715906 29953440 30149856 30203052 30452664 31929535 32417352 32689360 32948784 32959520 33221088 33499840 33989505 34270410 34546710 34832220 35412757 35661120 36019280 36255472 36555104 36609760 36775530 36849824 36912320 37079460 37154368 37687320 37697451 37753815 38001381 38065830 38315442 38971680 39227232 39293760 39551424 39610560 39621208 40270736 40521690 40603552 40787406 41124492 41185980 41456052 41526360 41798664 41872413 43223136 43931712 44573859 45304578 45319340 45678996 45693880 46062280 46442960 46766016 49034040 49439280 49526510 49851274 50249760 50263268 50338420 50668508 50754440 51087256 51405615 51820065 52248330 53491680 53933760 54028920 54383208 54832656 54914640 55274736 55368480 55731552 55829884 57098745 57473163 58457520 58840848 58940640 59327136 59415840 59431812 59906880 60299712 60406104 60905328 62829085 63335635 63859070 64834704 65378720 65897568 65919040 66442176 67979010 68540820 69093420 69664440 69787355 70244977 70825514 72038560 72510944 73110208 73219520 73551060 73699648 74158920 74289765 74776911 75374640 75394902 75507630 76002762 76131660 76630884 77943360 78454464 79242416 80541472 81043380 81207104 81574812 82248984 82371960 82912104 83052720 83597328 83744826 86446272 89147718 90609156 90638680 91357992 91387760 92124560 92885920 95788605 98068080 98878560 99053020 99702548 100499520 100526536 100676840 101337016 101508880 101968515 102174512 102811230 103640130 104496660 106238271 106983360 108057840 108766416 109665312 109829280 110549472 110736960 111463104 111659768 113092353 113261445 114004143 114197490 114946326 116915040 117681696 117881280 118654272 118831680 118863624 120812208 121810656 124628185 125617239 125658170 126671270 127718140 129669408 130757440 131795136 135958020 137081640 138186840 138223987 139328880 139574710 140489954 141651028 144077120 145021888 147102120 148317840 148579530 149553822 150749280 150789804 151015260 152005524 152263320 153261768 153532181 158484832 161082944 162086760 163149624 164497968 164743920 165824208 166105440 167194656 167489652 177063785 178295436 181218312 181277360 182715984 182775520 184249120 185771840 188487255 190006905 191577210 196136160 197757120 198106040 199405096 201053072 201353680 202674032 203017760 203937030 204349024 205622460 207280260 208993320 209362065 210734931 212476542 216115680 217532832 219330624 219658560 221098944 222869295 223319536 224330733 226184706 226522890 228008286 228394980 229892652 233830080 235363392 237727248 241624416 243621312 249256370 251234478 251316340 253342540 255436280 259338816 271916040 274163280 276373680 276447974 278657760 279149420 280979908 283302056 287365815 294204240 296635680 297159060 299107644 301498560 301579608 302030520 304011048 304526640 306523536 307064362 316969664 318714813 324173520 326299248 328995936 329487840 331648416 332210880 334389312 334979304 351224885 354127570 356590872 362436624 362554720 365431968 365551040 368498240 373884555 376974510 380013810 383154420 389540327 392272320 396212080 398810192 402106144 402707360 405348064 406035520 407874060 408698048 411244920 414560520 414671961 417986640 418724130 421469862 424953084 432231360 435065664 445738590 446639072 448661466 452369412 453045780 456016572 456789960 459785304 460596543 475454496 483248832 498512740 502468956 502632680 506685080 510872560 531191355 543832080 548326560 552747360 552895948 557315520 558298840 561959816 565461765 566604112 570020715 574731630 588408480 593271360 594318120 598215288 603159216 604061040 608022096 609053280 613047072 614128724 628086195 632204793 637429626 648347040 652598496 657991872 658975680 663296832 669958608 691119935 702449770 708255140 713181744 724873248 725109440 730863936 747769110 753949020 760027620 766308840 767660905 772694747 779080654 792424160 797620384 804212288 805414720 810696128 815748120 822489840 829121040 829343922 835973280 837448260 842939724 849906168 891477180 893278144 897322932 904738824 906091560 912033144 913579920 919570608 921193086 950908992 997025480 1004937912 1005265360 1013370160 1021745120 1053674655 1062382710 1087664160 1096653120 1105494720 1105791896 1116597680 1121653665 1123919632 1130923530 1133208224 1140041430 1149463260 1168620981 1176816960 1188636240 1196430576 1206318432 1208122080 1216044192 1218106560 1226094144 1228257448 1244015883 1256172390 1264409586 1274859252 1296694080 1305196992 1339917216 1381789629 1382239870 1404899540 1416510280 1426363488 1449746496 1495538220 1507898040 1520055240 1520463857 1532617680 1535321810 1545389494 1558161308 1584848320 1593574065 1595240768 1631496240 1644979680 1658242080 1658687844 1671946560 1674896520 1685879448 1699812336 1782954360 1794645864 1809477648 1812183120 1824066288 1827159840 1839141216 1842386172 1947701635 1994050960 2009875824 2010530720 2026740320 2043490240 2073359805 2107349310 2124765420 2175328320 2211583792 2233195360 2243307330 2247839264 2261847060 2266416448 2280082860 2298926520 2302982715 2318084241 2337241962 2377272480 2392861152 2412636864 2416244160 2432088384 2456514896 2488031766 2512344780 2528819172 2549718504 2679834432 2763579258 2764479740 2809799080 2833020560 2852726976 2991076440 3015796080 3040110480 3040927714 3065235360 3070643620 3090778988 3116322616 3161023965 3187148130 3262992480 3289959360 3316484160 3317375688 3349793040 3371758896 3399624672 3505862943 3565908720 3589291728 3618955296 3624366240 3648132576 3654319680 3678282432 3684772344 3863473735 3895403270 3988101920 4019751648 4021061440 4053480640 4146719610 4214698620 4249530840 4284943597 4423167584 4466390720 4486614660 4495678528 4523694120 4560165720 4561391571 4597853040 4605965430 4636168482 4674483924 4754544960 4785722304 4913029792 4976063532 5024689560 5057638344 5099437008 5527158516 5528959480 5619598160 5666041120 5843104905 5982152880 6031592160 6080220960 6081855428 6130470720 6141287240 6181557976 6220079415 6232645232 6322047930 6374296260 6525984960 6634751376 6699586080 6743517792 6799249344 6908948145 6954252723 7011725886 7131817440 7178583456 7237910592 7248732480 7296265152 7369544688 7602319285 7726947470 7790806540 7976203840 8039503296 8293439220 8429397240 8499061680 8569887194 8846335168 8973229320 9047388240 9120331440 9122783142 9195706080 9211930860 9272336964 9348967848 9826059584 9952127064 10049379120 10115276688 10198874016 11054317032 11057918960 11239196320 11332082240 11590421205 11686209810 11964305760 12063184320 12160441920 12163710856 12282574480 12363115952 12440158830 12465290464 12644095860 12748592520 12854830791 13269502752 13399172160 13487035584 13684174713 13817896290 13908505446 14023451772 14263634880 14357166912 14739089376 15204638570 15453894940 15581613080 16586878440 16858794480 16998123360 17139774388 17529314715 17946458640 18094776480 18240662880 18245566284 18391412160 18423861720 18544673928 18697935696 19904254128 20098758240 20230553376 20397748032 21424717985 22108634064 22115837920 22478392640 22806957855 23180842410 23372419620 23928611520 24327421712 24565148960 24726231904 24880317660 24930580928 25288191720 25497185040 25709661582 26539005504 27368349426 27635792580 27817010892 28046903544 29478178752 30409277140 30907789880 31163226160 33173756880 33717588960 33996246720 34279548776 34771263615 35058629430 35892917280 36189552960 36481325760 36491132568 36847723440 37089347856 37395871392 38564492373 39808508256 40197516480 40461106752 42849435970 44217268128 44231675840 45613915710 46361684820 46744839240 47134379567 48654843424 49130297920 49452463808 49760635320 50576383440 50994370080 51419323164 54736698852 55271585160 55634021784 56093807088 60818554280 61815579760 62326452320 64274153955 66347513760 67435177920 68420873565 68559097552 69542527230 70117258860 71785834560 72982265136 73695446880 74178695712 74791742784 77128984746 79617016512 85698871940 88434536256 91227831420 92723369640 93489678480 94268759134 97309686848 99521270640 101152766880 101988740160 102838646328 109473397704 110543170320 111268043568 112187614176 121637108560 123631159520 124652904640 128548307910 132695027520 136841747130 137118195104 139085054460 140234517720 141403138701 145964530272 147390893760 148357391424 154257969492 171397743880 182455662840 185446739280 186979356960 188537518268 192822461865 199042541280 202305533760 205677292656 218946795408 221086340640 222536087136 224375228352 235671897835 243274217120 247262319040 257096615820 273683494260 274236390208 278170108920 280469035440 282806277402 291929060544 308515938984 342795487760 364911325680 370893478560 373958713920 377075036536 385644923730 398085082560 411354585312 424209416103 437893590816 442172681280 445072174272 471343795670 486548434240 514193231640 547366988520 556340217840 560938070880 565612554804 617031877968 685590975520 707015693505 729822651360 741786957120 754150073072 771289847460 822709170624 848418832206 875787181632 942687591340 1028386463280 1094733977040 1112680435680 1121876141760 1131225109608 1234063755936 1371181951040 1414031387010 1459645302720 1508300146144 1542579694920 1696837664412 1885375182680 2056772926560 2121047080515 2189467954080 2225360871360 2262450219216 2468127511872 2828062774020 3016600292288 3085159389840 3393675328824 3770750365360 4113545853120 4242094161030 4378935908160 4524900438432 5656125548040 6170318779680 6787350657648 7541500730720 8484188322060 9049800876864 11312251096080 12340637559360 13574701315296 15083001461440 16968376644120 22624502192160 27149402630592 33936753288240 45249004384320 67873506576480 135747013152960
- Sum of all divisors σ(n): 540724984031232
- Sum of proper divisors (its aliquot sum) s(n): 404977970878272
- 135747013152960 is an abundant number, because the sum of its proper divisors (404977970878272) is greater than itself. Its abundance is 269230957725312
Bases of 135747013152960
- Binary: 111101101110110000100000111111110010000110000002
- Hexadecimal: 0x7B76107F90C0
- Base-36: 1C49BEQWG0
Squares and roots of 135747013152960
- 135747013152960 squared (1357470131529602) is 18427251579949895240356761600
- 135747013152960 cubed (1357470131529603) is 2501444362596361370210483417518071054336000
-
The
square root of 135747013152960 is 11651052.0191508887 -
The
cube root of 135747013152960 is 51393.7247448853
Scales and comparisons
How big is 135747013152960?- 135,747,013,152,960 seconds is equal to 4,316,335 years, 6 weeks, 3 days, 13 hours, 36 minutes.
-
To count from 1 to 135,747,013,152,960 would take you about ten million, seven hundred ninety thousand, eight hundred thirty-seven 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 135747013152960 cubic inches would be around 4282.8 feet tall.
Recreational maths with 135747013152960
- 135747013152960 backwards is 069251310747531
- The number of decimal digits it has is: 15
- The sum of 135747013152960's digits is 54
- More coming soon!
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MLA style:
"Number 135747013152960 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 135747013152960 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/135747013152960/
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The information we have on file for 135747013152960 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!
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