61407136908656640
61,407,136,908,656,640 is an even composite number composed of six prime numbers multiplied together.
61407136908656640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred divisors.
Prime factorization of 61407136908656640:
214 × 34 × 5 × 23 × 5232 × 1471
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 23 × 523 × 523 × 1471)See below for interesting mathematical facts about the number 61407136908656640 from the Numbermatics database.
Names of 61407136908656640
- Cardinal: 61407136908656640 can be written as Sixty-one quadrillion, four hundred seven trillion, one hundred thirty-six billion, nine hundred eight million, six hundred fifty-six thousand, six hundred forty.
Scientific notation
- Scientific notation: 6.140713690865664 × 1016
Factors of 61407136908656640
Divisors of 61407136908656640
- Number of divisors d(n): 1800
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 32 36 40 45 46 48 54 60 64 69 72 80 81 90 92 96 108 115 120 128 135 138 144 160 162 180 184 192 207 216 230 240 256 270 276 288 320 324 345 360 368 384 405 414 432 460 480 512 523 540 552 576 621 640 648 690 720 736 768 810 828 864 920 960 1024 1035 1046 1080 1104 1152 1242 1280 1296 1380 1440 1471 1472 1536 1569 1620 1656 1728 1840 1863 1920 2048 2070 2092 2160 2208 2304 2484 2560 2592 2615 2760 2880 2942 2944 3072 3105 3138 3240 3312 3456 3680 3726 3840 4096 4140 4184 4320 4413 4416 4608 4707 4968 5120 5184 5230 5520 5760 5884 5888 6144 6210 6276 6480 6624 6912 7355 7360 7452 7680 7845 8192 8280 8368 8640 8826 8832 9216 9315 9414 9936 10240 10368 10460 11040 11520 11768 11776 12029 12288 12420 12552 12960 13239 13248 13824 14121 14710 14720 14904 15360 15690 16384 16560 16736 17280 17652 17664 18432 18630 18828 19872 20480 20736 20920 22065 22080 23040 23535 23536 23552 24058 24576 24840 25104 25920 26478 26496 27648 28242 29420 29440 29808 30720 31380 33120 33472 33833 34560 35304 35328 36087 36864 37260 37656 39717 39744 40960 41472 41840 42363 44130 44160 46080 47070 47072 47104 48116 49152 49680 50208 51840 52956 52992 55296 56484 58840 58880 59616 60145 61440 62760 66195 66240 66944 67666 69120 70605 70608 70656 72174 73728 74520 75312 79434 79488 81920 82944 83680 84726 88260 88320 92160 94140 94144 94208 96232 99360 100416 101499 103680 105912 105984 108261 110592 112968 117680 117760 119151 119232 120290 122880 125520 132390 132480 133888 135332 138240 141210 141216 141312 144348 147456 149040 150624 158868 158976 165888 167360 169165 169452 176520 176640 180435 184320 188280 188288 188416 192464 198585 198720 200832 202998 207360 211815 211824 211968 216522 221184 225936 235360 235520 238302 238464 240580 245760 251040 264780 264960 267776 270664 273529 276480 282420 282432 282624 288696 298080 301248 304497 317736 317952 324783 331776 334720 338330 338904 353040 353280 360870 368640 376560 376576 376832 384928 397170 397440 401664 405996 414720 423630 423648 423936 433044 442368 451872 470720 471040 476604 476928 481160 502080 507495 529560 529920 535552 541305 541328 547058 552960 564840 564864 565248 577392 595755 596160 602496 608994 635472 635904 649566 663552 669440 676660 677808 706080 706560 721740 737280 753120 753152 769333 769856 794340 794880 803328 811992 820587 829440 847260 847296 847872 866088 903744 913491 941440 942080 953208 953856 962320 974349 1004160 1014990 1059120 1059840 1071104 1082610 1082656 1094116 1105920 1129680 1129728 1130496 1154784 1191510 1192320 1204992 1217988 1270944 1271808 1299132 1327104 1338880 1353320 1355616 1367645 1412160 1413120 1443480 1506240 1506304 1522485 1538666 1539712 1588680 1589760 1606656 1623915 1623984 1641174 1658880 1694520 1694592 1695744 1732176 1807488 1826982 1882880 1884160 1906416 1907712 1924640 1948698 2008320 2029980 2118240 2119680 2142208 2165220 2165312 2188232 2211840 2259360 2259456 2307999 2309568 2383020 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38975616 39388176 40670208 41543982 41572224 42844160 43306240 43379712 43764640 43847568 44311698 45189120 46159980 46191360 48199680 48719520 49235220 49237312 49270784 50329336 50837760 50872320 51965280 51967488 52517568 53083977 54224640 54226944 54809460 55391976 55429632 56620503 57839616 58463424 59082264 60252160 61005312 61546640 61588480 62315973 62358336 62911670 64266240 64959360 65646960 67783680 69239970 69287040 69289984 70023424 70778636 72299520 72302592 73079280 73852830 73855968 73906176 75494004 76256640 76308480 77119488 77947920 77951232 78776352 81340416 83087964 83144448 86612480 86759424 87529280 87695136 88473295 88623396 90378240 92319960 92382720 94367505 96399360 97439040 98470440 98474624 98541568 100658672 101675520 103859955 103930560 103934976 105035136 106167954 108449280 108453888 109618920 110779245 110783952 110859264 113241006 115679232 116926848 118164528 120504320 122010624 123093280 123176960 124631946 124716672 125823340 128532480 129918720 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257686200320 260730031032 260907277824 271789962240 277629199710 283606917120 289700034480 289896975360 289909293056 296137813024 302501191680 305763707520 309013370112 309223440384 319057781760 325912538790 326134097280 326147954688 333155039652 340328300544 347640041376 347876370432 362386616320 363001430016 366916449024 370172266280 386266712640 386529300480 407684943360 412017826816 416443799565 425410375680 434550051720 434845463040 434863939584 444206719536 453751787520 458645561280 463520055168 463835160576 489221932032 499732559478 510492450816 515022283520 515372400640 521460062064 521814555648 543579924480 555258399420 567213834240 579400068960 579793950720 592275626048 605002383360 611527415040 618026740224 638115563520 651825077580 652268194560 652295909376 666310079304 695280082752 695752740864 724773232640 733832898048 740344532560 749598839217 772533425280 773058600960 815369886720 824035653632 832887599130 850820751360 869100103440 869690926080 869727879168 888413439072 907503575040 917291122560 927040110336 927670321152 978443864064 999465118956 1020984901632 1030044567040 1042920124128 1043629111296 1087159848960 1110516798840 1158800137920 1159587901440 1184551252096 1223054830080 1236053480448 1249331398695 1276231127040 1303650155160 1304536389120 1304591818752 1332620158608 1390560165504 1391505481728 1449546465280 1467665796096 1480689065120 1499197678434 1545066850560 1546117201920 1630739773440 1648071307264 1665775198260 1701641502720 1738200206880 1739381852160 1776826878144 1815007150080 1834582245120 1854080220672 1956887728128 1998930237912 2060089134080 2085840248256 2087258222592 2174319697920 2221033597680 2317600275840 2319175802880 2369102504192 2446109660160 2472106960896 2498662797390 2552462254080 2607300310320 2609072778240 2609183637504 2665240317216 2781120331008 2783010963456 2935331592192 2961378130240 2998395356868 3090133701120 3261479546880 3296142614528 3331550396520 3476400413760 3478763704320 3553653756288 3669164490240 3708160441344 3747994196085 3913775456256 3997860475824 4120178268160 4171680496512 4174516445184 4348639395840 4442067195360 4635200551680 4638351605760 4738205008384 4892219320320 4944213921792 4997325594780 5104924508160 5214600620640 5218145556480 5330480634432 5562240662016 5870663184384 5922756260480 5996790713736 6180267402240 6522959093760 6592285229056 6663100793040 6952800827520 6957527408640 7107307512576 7338328980480 7416320882688 7495988392170 7827550912512 7995720951648 8240356536320 8343360993024 8349032890368 8884134390720 9270401103360 9476410016768 9784438640640 9888427843584 9994651189560 10429201241280 10436291112960 10660961268864 11124481324032 11741326368768 11845512520960 11993581427472 12360534804480 13045918187520 13326201586080 13905601655040 13915054817280 14214615025152 14676657960960 14832641765376 14991976784340 15991441903296 16480713072640 16686721986048 17768268781440 18540802206720 18952820033536 19568877281280 19776855687168 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222489626480640 227433840402432 239871628549440 255863070452736 266987551776768 284292300503040 296652835307520 319828838065920 333734439720960 341150760603648 379056400670720 383794605679104 426438450754560 444979252961280 454867680804864 479743257098880 511726140905472 533975103553536 568584601006080 639657676131840 667468879441920 682301521207296 758112801341440 767589211358208 852876901509120 889958505922560 959486514197760 1023452281810944 1137169202012160 1279315352263680 1334937758883840 1364603042414592 1535178422716416 1705753803018240 1918973028395520 2046904563621888 2274338404024320 2558630704527360 2669875517767680 3070356845432832 3411507606036480 3837946056791040 4093809127243776 5117261409054720 6140713690865664 6823015212072960 7675892113582080 10234522818109440 12281427381731328 15351784227164160 20469045636218880 30703568454328320 61407136908656640
- Sum of all divisors σ(n): 230317487435363328
- Sum of proper divisors (its aliquot sum) s(n): 168910350526706688
- 61407136908656640 is an abundant number, because the sum of its proper divisors (168910350526706688) is greater than itself. Its abundance is 107503213618050048
Bases of 61407136908656640
- Binary: 110110100010100101110111001101100001110101000000000000002
- Hexadecimal: 0xDA2977361D4000
- Base-36: GSN0H924G00
Squares and roots of 61407136908656640
- 61407136908656640 squared (614071369086566402) is 3770836463318500565222969416089600
- 61407136908656640 cubed (614071369086566403) is 231556270963153766273195726691258895832337874944000
-
The
square root of 61407136908656640 is 247804634.5584695477 -
The
cube root of 61407136908656640 is 394523.5657407945
Scales and comparisons
How big is 61407136908656640?- 61,407,136,908,656,640 seconds is equal to 1,952,557,008 years, 49 weeks, 2 days, 14 hours, 24 minutes.
-
To count from 1 to 61,407,136,908,656,640 would take you about five billion, eight hundred fifty-seven million, six hundred seventy-one thousand and twenty-six 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 61407136908656640 cubic inches would be around 32877 feet tall.
Recreational maths with 61407136908656640
- 61407136908656640 backwards is 04665680963170416
- 61407136908656640 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 61407136908656640's digits is 72
- More coming soon!
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"Number 61407136908656640 - Facts about the integer". Numbermatics.com. 2024. Web. 24 September 2024.
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Numbermatics. (2024). Number 61407136908656640 - Facts about the integer. Retrieved 24 September 2024, from https://numbermatics.com/n/61407136908656640/
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Numbermatics. 2024. "Number 61407136908656640 - Facts about the integer". https://numbermatics.com/n/61407136908656640/
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