106007513129700
106,007,513,129,700 is an even composite number composed of eight prime numbers multiplied together.
106007513129700 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 106007513129700:
22 × 3 × 52 × 72 × 134 × 19 × 97 × 137
(2 × 2 × 3 × 5 × 5 × 7 × 7 × 13 × 13 × 13 × 13 × 19 × 97 × 137)See below for interesting mathematical facts about the number 106007513129700 from the Numbermatics database.
Names of 106007513129700
- Cardinal: 106007513129700 can be written as One hundred six trillion, seven billion, five hundred thirteen million, one hundred twenty-nine thousand, seven hundred.
Scientific notation
- Scientific notation: 1.060075131297 × 1014
Factors of 106007513129700
Divisors of 106007513129700
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 7 10 12 13 14 15 19 20 21 25 26 28 30 35 38 39 42 49 50 52 57 60 65 70 75 76 78 84 91 95 97 98 100 105 114 130 133 137 140 147 150 156 169 175 182 190 194 195 196 210 228 245 247 260 266 273 274 285 291 294 300 325 338 350 364 380 388 390 399 411 420 455 475 485 490 494 507 525 532 546 548 570 582 588 637 650 665 676 679 685 700 735 741 780 798 822 845 910 931 950 959 970 975 980 988 1014 1050 1092 1140 1164 1183 1225 1235 1261 1274 1300 1330 1358 1365 1370 1425 1455 1470 1482 1596 1644 1690 1729 1781 1820 1843 1862 1900 1911 1918 1940 1950 1995 2028 2037 2055 2100 2197 2275 2366 2425 2450 2470 2522 2535 2548 2603 2660 2716 2730 2740 2793 2850 2877 2910 2940 2964 3185 3211 3325 3380 3395 3425 3458 3549 3562 3675 3686 3705 3724 3783 3822 3836 3900 3990 4074 4110 4225 4394 4550 4655 4732 4753 4795 4850 4900 4940 5044 5070 5187 5206 5343 5460 5529 5586 5700 5754 5820 5915 6175 6305 6370 6422 6591 6650 6713 6790 6825 6850 6916 7098 7124 7275 7350 7372 7410 7566 7644 7809 7980 8148 8220 8281 8450 8645 8788 8827 8905 9100 9215 9310 9506 9555 9590 9633 9700 9975 10140 10185 10275 10374 10412 10686 10985 11058 11172 11508 11830 12103 12350 12467 12610 12675 12740 12844 12901 13015 13182 13289 13300 13426 13580 13650 13700 13965 14196 14259 14385 14550 14700 14820 15132 15379 15618 15925 16055 16393 16562 16900 16975 17290 17654 17745 17810 18221 18430 18525 18620 18915 19012 19110 19180 19266 19950 20139 20370 20550 20748 21372 21970 22116 22477 23153 23275 23660 23765 23959 23975 24206 24700 24843 24934 25220 25350 25802 25935 26030 26364 26481 26578 26715 26852 27300 27645 27930 28518 28561 28770 29100 29575 30758 31236 31525 31850 32110 32786 32955 33124 33565 33839 33950 34580 35308 35490 35620 36309 36442 36860 37050 37401 37830 38220 38532 38703 39045 39867 39900 40278 40740 41100 41405 41743 43225 43940 44135 44525 44954 46075 46137 46306 46550 47530 47775 47918 47950 48165 48412 49179 49686 49868 50700 50925 51604 51870 52060 52962 53156 53430 54663 54925 55290 55860 57036 57122 57540 59150 60515 61516 61789 62335 63050 63700 64220 64505 65075 65572 65910 66445 67130 67431 67678 67900 69459 69825 70980 71295 71877 71925 72618 72884 74100 74802 75660 76895 77406 78090 79734 80275 80556 81965 82810 83486 85683 86450 87269 88270 88725 89050 89908 90307 91105 92150 92274 92612 93023 93100 94575 95060 95550 95836 95900 96330 98358 99372 100695 101517 101850 103740 105924 106860 107653 109326 109850 110580 112385 114244 114751 115765 118300 118825 119795 121030 123578 124215 124670 125229 126100 127547 129010 129675 130150 131820 132405 132890 133575 134260 134862 135356 138225 138918 139650 142590 142805 143754 143850 145236 149604 153790 154812 156180 157339 159468 160550 162071 163930 164775 165620 166972 167713 167825 169195 171366 172757 172900 174538 176540 177450 178100 180614 181545 182210 184300 184548 185367 186046 187005 189150 191100 192660 193515 195225 196716 199335 199927 201390 203034 203700 207025 208715 213109 215306 218652 219700 220675 224770 229502 230685 231530 236873 237650 239590 240825 242060 245895 247156 248430 249340 250458 252491 255094 258020 259350 260300 261807 264810 265780 267150 269724 270921 273315 276450 277836 279069 279300 285180 285610 287508 287700 292201 300989 302575 307580 308945 311467 311675 314678 321100 322525 322959 324142 327860 329550 332225 335426 335650 337155 338390 342732 344253 345514 347295 349076 354900 356475 359385 361228 363090 364420 370734 372092 374010 378300 382641 384475 387030 390450 398670 399854 402780 406068 409825 414050 417430 426218 428415 430612 436345 439907 441350 449540 451535 455525 459004 461370 463060 465115 472017 473746 475300 479180 481650 486213 491790 496860 500916 503139 503475 504982 507585 510188 518271 518700 523614 529620 534300 538265 541842 542659 546630 552900 558138 561925 571220 573755 578825 584402 598975 599781 601978 605150 617890 621075 622934 623350 626145 629356 637735 639327 645050 645918 648284 651161 659100 662025 664450 670852 671300 674310 676780 688506 691028 694590 710619 712950 714025 718770 726180 741468 748020 757473 765282 768950 774060 780900 786695 797340 799708 803257 810355 819650 828100 834860 838565 845975 852436 856830 863785 872690 876603 879814 882700 902967 903070 907725 911050 922740 926835 930230 934401 935025 944034 947492 963300 967575 972426 983580 996675 999635 1006278 1006950 1009964 1015170 1036542 1043575 1047228 1065545 1076530 1083684 1085318 1093260 1116276 1123850 1134497 1147510 1153425 1157650 1168804 1173991 1184365 1197950 1199562 1203956 1209299 1210300 1229475 1235780 1242150 1245868 1246700 1252290 1262455 1275470 1278654 1290100 1291836 1302322 1309035 1319721 1324050 1328900 1348620 1354605 1366575 1377012 1389180 1395345 1399489 1421238 1425900 1428050 1437540 1461005 1491763 1504945 1514946 1530564 1537900 1544725 1557335 1573390 1606514 1614795 1620710 1627977 1639300 1658111 1677130 1685775 1691950 1713660 1721265 1727570 1736475 1745380 1753206 1759628 1767437 1796925 1805934 1806140 1815450 1822100 1853670 1860460 1868802 1870050 1888068 1913205 1935150 1944852 1953483 1993350 1999270 2012556 2013900 2030340 2045407 2073084 2087150 2106923 2131090 2142075 2153060 2170636 2180269 2181725 2199535 2245841 2247700 2257675 2268994 2295020 2306850 2315300 2325575 2347982 2360085 2368730 2395900 2399124 2409771 2418598 2431065 2458950 2484300 2504580 2515695 2524910 2537925 2550940 2557308 2591355 2604644 2618070 2639442 2648100 2691325 2709210 2713295 2733150 2770417 2790690 2798978 2842476 2856100 2868775 2922010 2983526 2998905 3009890 3029892 3079349 3089450 3114670 3130725 3146780 3188675 3196635 3213028 3229590 3241420 3255805 3255954 3282383 3316222 3354260 3371550 3383900 3403491 3442530 3455140 3472950 3506412 3521973 3534874 3553095 3593850 3611868 3627897 3630900 3707340 3737604 3740100 3787365 3798613 3826410 3870300 3906966 3912857 3933475 3986700 3998540 4016285 4049071 4051775 4090814 4174300 4192825 4198467 4213846 4262180 4284150 4318925 4360538 4363450 4383015 4399070 4475289 4491682 4514835 4515350 4537988 4613700 4634175 4651150 4672005 4695964 4720170 4737460 4819542 4837196 4862130 4917900 4974333 4998175 5031390 5049820 5075850 5182710 5236140 5278884 5302311 5327725 5382650 5418420 5426590 5466300 5540834 5581380 5597956 5672485 5718791 5737550 5844020 5869955 5921825 5967052 5997810 6019780 6046495 6136221 6158698 6178900 6229340 6261450 6312275 6320769 6377350 6393270 6459180 6511610 6511908 6540807 6545175 6564766 6598605 6632444 6737523 6743100 6773025 6806982 6885060 6945900 6976725 6997445 7043946 7069748 7106190 7187700 7255794 7305025 7458815 7524725 7574730 7597226 7652820 7786675 7813932 7825714 7866950 8032570 8073975 8098142 8103550 8139885 8181628 8290555 8311251 8385650 8396934 8427692 8465093 8568300 8606325 8637850 8721076 8726900 8766030 8798140 8837185 8950578 8983364 9029670 9030700 9238047 9268350 9302300 9344010 9440340 9566025 9639084 9724260 9767415 9847149 9948666 9996350 10062780 10151700 10227035 10365420 10442341 10534615 10604622 10655450 10765300 10853180 10901345 10997675 11081668 11229205 11344970 11395839 11437582 11475100 11738571 11739910 11800425 11843650 11995620 12048855 12092990 12147213 12155325 12272442 12317396 12372059 12522900 12578475 12624550 12641538 12754700 12786540 12956775 13023220 13081614 13090350 13129532 13197210 13475046 13546050 13566475 13613964 13852085 13953450 13994890 14087892 14212380 14511588 14610050 14748461 14917630 14994525 15049450 15149460 15194452 15261883 15396745 15573350 15651428 15720887 15733900 15983175 16065140 16147950 16196284 16207100 16279025 16279770 16411915 16581110 16622502 16771300 16793868 16930186 17017455 17156373 17212650 17275700 17532060 17609865 17674370 17765475 17901156 18059340 18139485 18476094 18536700 18688020 18936825 18993065 19132050 19392919 19534830 19564285 19694298 19897332 19992700 20081425 20245355 20454070 20884682 20992335 21069230 21209244 21310900 21555443 21802690 21915075 21995350 22376445 22458410 22574175 22689940 22791678 22875164 22976681 23360025 23477142 23479820 23600850 23687300 24097710 24185980 24294426 24310650 24544884 24744118 24871665 25156950 25249100 25283076 25395279 25913550 26163228 26180700 26394420 26511555 26590291 26950092 27092100 27132950 27389999 27704170 27906900 27989780 28343497 28362425 28593955 29195933 29220100 29349775 29496922 29835260 29989050 30098900 30232475 30523766 30681105 30793490 31146700 31327023 31441774 31603845 31966350 32295900 32558050 32559540 32704035 32823830 32993025 33162220 33245004 33687615 33860372 34034910 34312746 34425300 34987225 35219730 35348740 35530950 36278970 36952188 37116177 37294075 37873650 37986130 38264100 38785838 39069660 39128570 39388596 40031537 40162850 40490710 40699425 40908140 41452775 41556255 41769364 41984670 42138460 42325465 42670979 43110886 43605380 43830150 43990700 44185925 44245383 44752890 44916820 45148350 45583356 45785649 45953362 46190235 46720050 46954284 47162661 47201700 48195420 48588852 48621300 48837075 49235745 49488236 49743330 50313900 50790558 51135175 51827100 52211705 52637923 52673075 53023110 53180582 54265900 54506725 54779998 55408340 56146025 56686994 56724850 56979195 57187910 58178757 58391866 58692855 58699550 58993844 59978100 60244275 60464950 60736065 61047532 61362210 61586980 61860295 62654046 62883548 63207690 63932700 64666329 65116100 65408070 65647660 65986050 67375230 68069820 68625492 68930043 69260425 69974450 70439460 71061900 72557940 73742305 74232354 74344283 74588150 75747300 75972260 76309415 76983725 77571676 78257140 78604435 79770873 80063074 80325700 80981420 81398850 82059575 82169997 82905550 83112510 83969340 84650930 85030491 85087275 85341958 85781865 86221772 87587799 87660300 88049325 88371850 88490766 89505780 90296700 90697425 91571298 91906724 92380470 93440100 94325322 94965325 96964595 97674150 97821425 98471490 99486660 101226775 101581116 102270350 104423410 104961675 105275846 105346150 106046220 106361164 107777215 109013450 109559996 110046209 111882225 112292050 113373988 113449700 113958390 114375820 114883405 116357514 116783732 117385710 117399100 120094611 120488550 120929900 121472130 122724420 123720590 124358325 125308092 126415380 126976395 128012937 129332658 130816140 131972100 132557775 132951455 134750460 135750433 136949995 137860086 138520850 139948900 141717485 142969775 145979665 147484610 148464708 148688566 149176300 152618830 153405525 153967450 156635115 157208870 157913769 158019225 159541746 160126148 160836767 162797700 163520175 164119150 164339994 165811100 166225020 168438075 169301860 170060982 170174550 170683916 171563730 175175598 176098650 176743700 176981532 181394850 183142596 184760940 185580885 188650644 189930650 191729993 193929190 195348300 195642850 196942980 198404479 200157685 202453550 204371531 204540700 207781275 208846820 209923350 210551692 210692300 211627325 213354895 215554430 218026900 220092418 221226915 223032849 223764450 224584100 227916780 228928245 229766810 230951175 232715028 234771420 235813305 240189222 240977100 242944260 246178725 247441180 248716650 253952790 256025874 258665316 261058525 263189615 265115550 265902910 271500866 273899990 275720172 277041700 280220759 283434970 284895975 285939550 290893785 291959330 293464275 294969220 297377132 298696853 303680325 305237660 306811050 307934900 309301475 313270230 314417740 315827538 316038450 319083492 321673534 323331645 327040350 328238300 328679988 330138627 336876150 340121964 340349100 343127460 344650215 350351196 352197300 362789700 368465461 368711525 371161770 371721415 379547129 379861300 381547075 383459986 387858380 391285700 393022175 396808958 398854365 400315370 404907100 407251299 408743062 410849985 415562550 419846700 423254650 425152455 426709790 428909325 431108860 437938995 440184836 442453830 446065698 447528900 457856490 459533620 461902350 471626610 480378444 482510301 484822975 492357450 497433300 507905580 512051748 520409981 522117050 526379230 530231100 531805820 538886075 543001732 547799980 550231045 554722727 560441518 566869940 569791950 571879100 574417025 575189979 581787570 583918660 586928550 595213437 597393706 600473055 607360650 613114593 613622100 618602950 626540460 631655076 632076900 634881975 640064685 643347068 646663290 654080700 660277254 664757275 673752300 678752165 684749975 689300430 708587425 729898325 736930922 737423050 742323540 743442830 759094258 763094150 766919972 783175575 786044350 789568845 793617916 797708730 800630740 804183835 814502598 817486124 821699970 831125100 840662277 846509300 850304910 853419580 857818650 875877990 884907660 892131396 896090559 915712980 923804700 927904425 943253220 958649965 965020602 969645950 984714900 992022395 1000788425 1021857655 1040819962 1044234100 1052758460 1066774475 1077772150 1100462090 1105396383 1106134575 1109445454 1115164245 1120883036 1138641387 1139583900 1144641225 1148834050 1150379958 1163575140 1173857100 1179066525 1190426874 1194787412 1200946110 1214721300 1226229186 1237205900 1269763950 1280129370 1293326580 1315948075 1320554508 1329514550 1357504330 1369499950 1378600860 1401103795 1417174850 1430600717 1454468925 1459796650 1473861844 1474846100 1486885660 1493484265 1518188516 1526188300 1561229943 1566351150 1572088700 1579137690 1595417460 1608367670 1616658225 1629005196 1643399940 1650693135 1664168181 1681324554 1700609820 1715637300 1723251075 1751755980 1792181118 1842327305 1855808850 1858607075 1897735645 1917299930 1930041204 1939291900 1984044790 1994271825 2001576850 2036256495 2043715310 2054249925 2081639924 2090877971 2125762275 2133548950 2155544300 2189694975 2200924180 2210792766 2212269150 2218890908 2230328490 2277282774 2289282450 2297668100 2300759916 2358133050 2380853748 2401892220 2412551505 2452458372 2539527900 2560258740 2579258227 2602049905 2631896150 2656829903 2659029100 2715008660 2738999900 2751155225 2773613635 2802207590 2834349700 2861201434 2875949895 2908937850 2919593300 2976067185 2986968530 3002365275 3065572965 3122459886 3132702300 3158275380 3200323425 3216735340 3233316450 3301386270 3328336362 3362649108 3393760825 3446502150 3584362236 3642869867 3684654610 3711617700 3717214150 3795471290 3834599860 3883059089 3947844225 3968089580 3988543650 4003153700 4020919175 4072512990 4087430620 4108499850 4181755942 4203311385 4251524550 4267097900 4291802151 4379389950 4421585532 4424538300 4460656980 4480452795 4554565548 4578564900 4716266100 4793249825 4825103010 4960111975 5109288275 5158516454 5204099810 5263792300 5313659806 5502310450 5526981915 5547227270 5575821225 5604415180 5693206935 5722402868 5751899790 5817875700 5952134370 5973937060 6004730550 6131145930 6244919772 6272633913 6400646850 6466632900 6602772540 6656672724 6787521650 6893004300 7005518975 7153003585 7211395451 7285739734 7369309220 7434428300 7467421325 7590942580 7737774681 7766118178 7806149715 7895688450 7970489709 7977087300 8041838350 8145025980 8216999700 8253465675 8320840905 8363511884 8406622770 8503049100 8583604302 8758779900 8960905590 9211636525 9488678225 9586499650 9650206020 9920223950 10181282475 10218576550 10317032908 10408199620 10454389855 10627319612 10928609601 11004620900 11053963830 11094454540 11151642450 11386413870 11503799580 11649177267 11904268740 12009461100 12062757525 12262291860 12545267826 12801293700 12896291135 13010249525 13284149515 13575043300 13868068175 14011037950 14306007170 14379749475 14422790902 14571479468 14880335925 14934842650 15327864825 15475549362 15532236356 15612299430 15791376900 15940979418 16083676700 16506931350 16641681810 16813245540 17167208604 17921811180 18214349335 18423273050 18597809321 18977356450 19172999300 19415295445 19840447900 20362564950 20437153100 20908779710 21016556925 21459010755 21634186353 21857219202 22107927660 22303284900 22402263975 22772827740 23298354534 24125515050 25090535652 25792582270 26020499050 26568299030 27181413623 27634909575 27736136350 28022075900 28466034675 28612014340 28759498950 28845581804 29760671850 29869685300 30655729650 30951098724 31224598860 31363169565 31881958836 33013862700 33283363620 35765017925 36056977255 36428698670 36846546100 37195618642 37954712900 38688873405 38830590890 39030748575 39852448545 40725129900 41604204525 41817559420 42033113850 42918021510 43268372706 43714438404 44804527950 46596709068 48251030100 50479768157 51585164540 52040998100 52271949275 53136598060 54362827246 54643048005 55269819150 55472272700 55793427963 56932069350 57518997900 58245886335 59521343700 61311459300 62726339130 64481455675 66420747575 71530035850 72113954510 72857397340 74391237284 77377746810 77661181780 78061497150 79704897090 81544240869 83208409050 84066227700 85836043020 86536745412 89609055900 91071746675 92989046605 97076477225 100959536314 104543898550 107295053775 108170931765 108725654492 109286096010 110539638300 111586855926 113864138700 116491772670 125452678260 128962911350 132841495150 135907068115 143060071700 144227909020 151439304471 154755493620 156122994300 156815847825 159409794180 163088481738 166416818100 180284886275 182143493350 185978093210 193444367025 194152954450 199262242725 201919072628 209087797100 214590107550 216341863530 218572192020 223173711852 232983545340 252398840785 257925822700 265682990300 271814136230 273215240025 278967139815 291229431675 302878608942 313631695650 326176963476 353358377099 360569772550 364286986700 371956186420 386888734050 388305908900 398524485450 407721204345 429180215100 432683727060 464945233025 504797681570 540854658825 543628272460 546430480050 557934279630 582458863350 605757217884 627263391300 679535340575 706716754198 721139545100 757196522355 773777468100 797048970900 815442408690 929890466050 1009595363140 1060075131297 1081709317650 1092860960100 1115868559260 1164917726700 1261994203925 1359070681150 1394835699075 1413433508396 1514393044710 1630884817380 1766791885495 1859780932100 2038606021725 2120150262594 2163418635300 2523988407850 2718141362300 2789671398150 3028786089420 3533583770990 3785982611775 4077212043450 4240300525188 5047976815700 5300375656485 5579342796300 7067167541980 7571965223550 8154424086900 8833959427475 10600751312970 15143930447100 17667918854950 21201502625940 26501878282425 35335837709900 53003756564850 106007513129700
- Sum of all divisors σ(n): 414060769039680
- Sum of proper divisors (its aliquot sum) s(n): 308053255909980
- 106007513129700 is an abundant number, because the sum of its proper divisors (308053255909980) is greater than itself. Its abundance is 202045742780280
Bases of 106007513129700
- Binary: 110000001101001110011000010100111100010111001002
- Hexadecimal: 0x6069CC29E2E4
- Base-36: 11KR6GA8RO
Squares and roots of 106007513129700
- 106007513129700 squared (1060075131297002) is 11237592839943517889022090000
- 106007513129700 cubed (1060075131297003) is 1191269270526535183226916033168335073000000
-
The
square root of 106007513129700 is 10295995.0043548487 -
The
cube root of 106007513129700 is 47327.3530240257
Scales and comparisons
How big is 106007513129700?- 106,007,513,129,700 seconds is equal to 3,370,711 years, 5 days, 8 hours, 55 minutes.
-
To count from 1 to 106,007,513,129,700 would take you about eight million, four hundred twenty-six thousand, seven hundred seventy-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 106007513129700 cubic inches would be around 3943.9 feet tall.
Recreational maths with 106007513129700
- 106007513129700 backwards is 007921315700601
- 106007513129700 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 106007513129700's digits is 42
- 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 106007513129700 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 106007513129700 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/106007513129700/
Chicago style:
Numbermatics. 2024. "Number 106007513129700 - Facts about the integer". https://numbermatics.com/n/106007513129700/
The information we have on file for 106007513129700 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 106007513129700, math, Factors of 106007513129700, curriculum, school, college, exams, university, Prime factorization of 106007513129700, STEM, science, technology, engineering, physics, economics, calculator, one hundred six trillion, seven billion, five hundred thirteen million, one hundred twenty-nine thousand, seven hundred.