106137674304864000
106,137,674,304,864,000 is an even composite number composed of seven prime numbers multiplied together.
106137674304864000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 106137674304864000:
28 × 3 × 53 × 29 × 257 × 1093 × 135721
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 29 × 257 × 1093 × 135721)See below for interesting mathematical facts about the number 106137674304864000 from the Numbermatics database.
Names of 106137674304864000
- Cardinal: 106137674304864000 can be written as One hundred six quadrillion, one hundred thirty-seven trillion, six hundred seventy-four billion, three hundred four million, eight hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.06137674304864 × 1017
Factors of 106137674304864000
Divisors of 106137674304864000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 48 50 58 60 64 75 80 87 96 100 116 120 125 128 145 150 160 174 192 200 232 240 250 256 257 290 300 320 348 375 384 400 435 464 480 500 514 580 600 640 696 725 750 768 771 800 870 928 960 1000 1028 1093 1160 1200 1280 1285 1392 1450 1500 1542 1600 1740 1856 1920 2000 2056 2175 2186 2320 2400 2570 2784 2900 3000 3084 3200 3279 3480 3625 3712 3840 3855 4000 4112 4350 4372 4640 4800 5140 5465 5568 5800 6000 6168 6400 6425 6558 6960 7250 7424 7453 7710 8000 8224 8700 8744 9280 9600 10280 10875 10930 11136 11600 12000 12336 12850 13116 13920 14500 14906 15420 16000 16395 16448 17400 17488 18560 19200 19275 20560 21750 21860 22272 22359 23200 24000 24672 25700 26232 27325 27840 29000 29812 30840 31697 32000 32125 32790 32896 34800 34976 37120 37265 38550 41120 43500 43720 44718 46400 48000 49344 51400 52464 54650 55680 58000 59624 61680 63394 64250 65580 65792 69600 69952 74530 77100 81975 82240 87000 87440 89436 92800 95091 96000 96375 98688 102800 104928 109300 111360 111795 116000 119248 123360 126788 128500 131160 135721 136625 139200 139904 149060 154200 158485 163950 164480 174000 174880 178872 185600 186325 190182 192750 197376 205600 209856 218600 223590 232000 238496 246720 253576 257000 262320 271442 273250 278400 279808 280901 298120 308400 316970 327900 328960 348000 349760 357744 372650 380364 385500 407163 409875 411200 419712 437200 447180 464000 475455 476992 493440 507152 514000 524640 542884 546500 556800 558975 561802 596240 616800 633940 655800 678605 696000 699520 715488 745300 760728 771000 792425 814326 819750 822400 839424 842703 874400 894360 928000 931625 950910 953984 986880 1014304 1028000 1049280 1085768 1093000 1117950 1123604 1192480 1233600 1267880 1311600 1357210 1392000 1399040 1404505 1430976 1490600 1521456 1542000 1584850 1628652 1639500 1644800 1685406 1748800 1788720 1863250 1901820 1907968 2028608 2035815 2056000 2098560 2171536 2186000 2235900 2247208 2377275 2384960 2467200 2535760 2623200 2714420 2784000 2794875 2809010 2861952 2981200 3042912 3084000 3169700 3257304 3279000 3370812 3393025 3497600 3577440 3726500 3803640 3935909 3962125 4057216 4071630 4112000 4197120 4213515 4343072 4372000 4471800 4494416 4754550 4769920 4934400 5071520 5246400 5428840 5589750 5618020 5723904 5962400 6085824 6168000 6339400 6514608 6558000 6741624 6786050 6995200 7022525 7154880 7453000 7607280 7871818 7924250 8114432 8143260 8146129 8224000 8427030 8686144 8744000 8943600 8988832 9509100 9539840 10143040 10179075 10492800 10857680 11179500 11236040 11807727 11886375 11924800 12171648 12336000 12678800 13029216 13116000 13483248 13572100 14045050 14309760 14906000 15214560 15743636 15848500 16286520 16292258 16854060 16965125 17372288 17488000 17887200 17977664 19018200 19679545 20286080 20358150 20985600 21067575 21715360 22359000 22472080 23615454 23772750 23849600 24343296 24438387 24672000 25357600 26058432 26232000 26966496 27144200 28090100 28619520 29812000 30429120 31487272 31697000 32573040 32584516 33708120 33930250 34744576 34880297 34976000 35112625 35774400 35955328 38036400 39359090 40572160 40716300 40730645 42135150 43430720 44718000 44944160 47230908 47545500 47699200 48876774 50715200 50895375 52116864 52464000 53932992 54288400 56180200 59038635 59624000 60858240 62974544 63394000 65146080 65169032 67416240 67860500 69760594 70225250 71548800 71910656 76072800 78718180 81432600 81461290 84270300 86861440 89436000 89888320 94461816 95091000 97753548 98397725 101430400 101790750 104233728 104640891 104928000 105337875 107865984 108576800 112360400 118077270 119248000 121716480 122191935 125949088 126788000 130292160 130338064 134832480 135721000 139521188 140450500 143097600 148343053 152145600 157436360 162865200 162922580 168540600 173722880 174401485 178872000 179776640 188923632 190182000 195507096 196795450 202860800 203581500 203653225 209281782 210675750 215731968 217153600 224720800 236154540 238496000 244383870 251898176 253576000 260584320 260676128 269664960 271442000 279042376 280901000 295193175 296686106 304291200 314872720 325730400 325845160 337081200 348802970 357744000 359553280 377847264 380364000 391014192 393590900 407163000 407306450 418563564 421351500 434307200 445029159 449441600 472309080 488767740 491988625 503796352 507152000 521168640 521352256 523204455 539329920 542884000 558084752 561802000 590386350 593372212 608582400 610959675 629745440 651460800 651690320 674162400 697605940 715488000 741715265 755694528 760728000 782028384 787181800 814326000 814612900 837127128 842703000 868614400 872007425 890058318 898883200 944618160 977535480 983977250 1007592704 1011528613 1014304000 1018266125 1042704512 1046408910 1078659840 1085768000 1116169504 1123604000 1180772700 1186744424 1221919350 1259490880 1302921600 1303380640 1348324800 1395211880 1475965875 1483430530 1511389056 1521456000 1564056768 1574363600 1628652000 1629225800 1674254256 1685406000 1744014850 1780116636 1797766400 1889236320 1955070960 1967954500 2023057226 2036532250 2085409024 2092817820 2171536000 2225145795 2232339008 2247208000 2361545400 2373488848 2443838700 2518981760 2605843200 2606761280 2616022275 2696649600 2790423760 2951931750 2966861060 3022778112 3034585839 3042912000 3054798375 3128113536 3148727200 3257304000 3258451600 3348508512 3370812000 3488029700 3560233272 3708576325 3778472640 3910141920 3935909000 4046114452 4073064500 4185635640 4301948537 4343072000 4360037125 4450291590 4464678016 4494416000 4723090800 4746977696 4887677400 5037963520 5057643065 5213522560 5232044550 5393299200 5580847520 5903863500 5933722120 6069171678 6109596750 6256227072 6297454400 6514608000 6516903200 6697017024 6741624000 6976059400 7120466544 7417152650 7556945280 7820283840 7871818000 8092228904 8146129000 8371271280 8603897074 8720074250 8900583180 8929356032 8988832000 9446181600 9493955392 9775354800 10115286130 10427045120 10464089100 11125728975 11161695040 11807727000 11867444240 12138343356 12219193500 12594908800 12905845611 13029216000 13033806400 13080111375 13394034048 13483248000 13952118800 14240933088 14834305300 15113890560 15172929195 15640567680 15743636000 16184457808 16292258000 16742542560 17207794148 17440148500 17801166360 18542881625 18892363200 18987910784 19550709600 20230572260 20928178200 21509742685 22251457950 22323390080 23615454000 23734888480 24276686712 24438387000 25189817600 25288215325 25811691222 26067612800 26160222750 26788068096 26966496000 27904237600 28481866176 29668610600 30345858390 31281135360 31487272000 32368915616 32584516000 33485085120 34415588296 34880297000 35602332720 37085763250 37784726400 37975821568 38124164621 39101419200 40461144520 41856356400 43019485370 44502915900 44646780160 47230908000 47469776960 48553373424 48876774000 50576430650 51623382444 52135225600 52320445500 55628644875 55808475200 56963732352 59337221200 60691716780 62974544000 64529228055 64737831232 65169032000 66970170240 68831176592 69760594000 71204665440 74171526500 75569452800 75864645975 76248329242 78202838400 80922289040 83712712800 86038970740 89005831800 94461816000 94939553920 97106746848 97753548000 101152861300 103246764888 104640891000 107548713425 111257289750 111616950400 113927464704 114372493863 118674442400 121383433560 125949088000 126441076625 129058456110 129475662464 130338064000 133940340480 137662353184 139521188000 142409330880 148343053000 151729291950 152496658484 156405676800 161844578080 167425425600 172077941480 178011663600 188923632000 189879107840 190620823105 194213493696 195507096000 202305722600 206493529776 209281782000 215097426850 222514579500 223233900800 228744987726 237348884800 242766867120 252882153250 258116912220 258951324928 260676128000 275324706368 279042376000 284818661760 296686106000 303458583900 304993316968 322646140275 323689156160 334850851200 344155882960 356023327200 377847264000 379323229875 381241646210 388426987392 391014192000 404611445200 412987059552 418563564000 430194853700 445029159000 457489975452 474697769600 485533734240 505764306500 516233824440 537743567125 550649412736 558084752000 569637323520 571862469315 593372212000 606917167800 609986633936 645292280550 647378312320 669701702400 688311765920 712046654400 758646459750 762483292420 776853974784 782028384000 809222890400 825974119104 837127128000 860389707400 890058318000 914979950904 949395539200 953104115525 971067468480 1011528613000 1032467648880 1075487134250 1101298825472 1105600774009 1116169504000 1143724938630 1186744424000 1213834335600 1219973267872 1290584561100 1294756624640 1376623531840 1424093308800 1517292919500 1524966584840 1613230701375 1618445780800 1651948238208 1674254256000 1720779414800 1780116636000 1829959901808 1906208231050 1942134936960 2023057226000 2064935297760 2150974268500 2211201548018 2287449877260 2373488848000 2427668671200 2439946535744 2581169122200 2753247063680 2848186617600 2859312346575 3034585839000 3049933169680 3226461402750 3236891561600 3303896476416 3316802322027 3348508512000 3441558829600 3560233272000 3659919803616 3812416462100 3884269873920 4046114452000 4129870595520 4301948537000 4422403096036 4574899754520 4746977696000 4765520577625 4855337342400 4879893071488 5162338244400 5506494127360 5528003870045 5718624693150 6069171678000 6099866339360 6452922805500 6473783123200 6633604644054 6883117659200 7120466544000 7319839607232 7624832924200 8092228904000 8259741191040 8603897074000 8844806192072 9149799509040 9531041155250 9710674684800 9759786142976 10324676488800 11056007740090 11437249386300 12138343356000 12199732678720 12905845611000 13267209288108 13766235318400 14240933088000 14296561732875 14639679214464 15249665848400 16184457808000 16519482382080 16584011610135 17207794148000 17689612384144 18299599018080 19062082310500 19421349369600 20649352977600 22112015480180 22874498772600 24276686712000 24399465357440 25811691222000 26534418576216 27532470636800 27640019350225 28593123465750 29279358428928 30499331696800 32368915616000 33168023220270 34415588296000 35379224768288 36599198036160 38124164621000 41298705955200 44224030960360 45748997545200 48553373424000 48798930714880 51623382444000 53068837152432 55280038700450 57186246931500 60998663393600 66336046440540 68831176592000 70758449536576 73198396072320 76248329242000 82597411910400 82920058050675 88448061920720 91497995090400 97106746848000 103246764888000 106137674304864 110560077400900 114372493863000 121997326787200 132672092881080 137662353184000 138200096751125 141516899073152 146396792144640 152496658484000 165840116101350 176896123841440 182995990180800 206493529776000 212275348609728 221120154801800 228744987726000 243994653574400 265344185762160 276400193502250 283033798146304 304993316968000 331680232202700 353792247682880 365991980361600 412987059552000 414600290253375 424550697219456 442240309603600 457489975452000 530688371524320 552800387004500 609986633936000 663360464405400 707584495365760 731983960723200 829200580506750 849101394438912 884480619207200 914979950904000 1061376743048640 1105600774009000 1219973267872000 1326720928810800 1415168990731520 1658401161013500 1768961238414400 1829959901808000 2122753486097280 2211201548018000 2653441857621600 3316802322027000 3537922476828800 3659919803616000 4245506972194560 4422403096036000 5306883715243200 6633604644054000 7075844953657600 8844806192072000 10613767430486400 13267209288108000 17689612384144000 21227534860972800 26534418576216000 35379224768288000 53068837152432000 106137674304864000
- Sum of all divisors σ(n): 366449407035828480
- Sum of proper divisors (its aliquot sum) s(n): 260311732730964480
- 106137674304864000 is an abundant number, because the sum of its proper divisors (260311732730964480) is greater than itself. Its abundance is 154174058426100480
Bases of 106137674304864000
- Binary: 1011110010001001110100111000001100011101000111111000000002
- Hexadecimal: 0x17913A7063A3F00
- Base-36: T12NYG7KOAO
Squares and roots of 106137674304864000
- 106137674304864000 squared (1061376743048640002) is 11265205906845387785614058496000000
- 106137674304864000 cubed (1061376743048640003) is 1195662755517985870777599132338822633324544000000000
-
The
square root of 106137674304864000 is 325787774.9469184733 -
The
cube root of 106137674304864000 is 473467.1537601381
Scales and comparisons
How big is 106137674304864000?- 106,137,674,304,864,000 seconds is equal to 3,374,849,737 years, 26 weeks, 4 days, 10 hours, 40 minutes.
-
To count from 1 to 106,137,674,304,864,000 would take you about ten billion, one hundred twenty-four million, five hundred forty-nine thousand, two hundred twelve 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 106137674304864000 cubic inches would be around 39455.6 feet tall.
Recreational maths with 106137674304864000
- 106137674304864000 backwards is 000468403476731601
- 106137674304864000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 106137674304864000's digits is 60
- More coming soon!
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The information we have on file for 106137674304864000 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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