10004964094944000
10,004,964,094,944,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 10004964094944000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1944 divisors.
10004964094944000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 10004964094944000:
28 × 32 × 53 × 7 × 132 × 54192
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 13 × 13 × 5419 × 5419)See below for interesting mathematical facts about the number 10004964094944000 from the Numbermatics database.
Names of 10004964094944000
- Cardinal: 10004964094944000 can be written as Ten quadrillion, four trillion, nine hundred sixty-four billion, ninety-four million, nine hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.0004964094944 × 1016
Factors of 10004964094944000
Divisors of 10004964094944000
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 32 35 36 39 40 42 45 48 50 52 56 60 63 64 65 70 72 75 78 80 84 90 91 96 100 104 105 112 117 120 125 126 128 130 140 144 150 156 160 168 169 175 180 182 192 195 200 208 210 224 225 234 240 250 252 256 260 273 280 288 300 312 315 320 325 336 338 350 360 364 375 384 390 400 416 420 448 450 455 468 480 500 504 507 520 525 546 560 576 585 600 624 630 640 650 672 676 700 720 728 750 768 780 800 819 832 840 845 875 896 900 910 936 960 975 1000 1008 1014 1040 1050 1092 1120 1125 1152 1170 1183 1200 1248 1260 1280 1300 1344 1352 1365 1400 1440 1456 1500 1521 1560 1575 1600 1625 1638 1664 1680 1690 1750 1792 1800 1820 1872 1920 1950 2000 2016 2028 2080 2100 2184 2240 2250 2275 2304 2340 2366 2400 2496 2520 2535 2600 2625 2688 2704 2730 2800 2880 2912 2925 3000 3042 3120 3150 3200 3250 3276 3328 3360 3380 3500 3549 3600 3640 3744 3840 3900 4000 4032 4056 4095 4160 4200 4225 4368 4480 4500 4550 4680 4732 4800 4875 4992 5040 5070 5200 5250 5376 5408 5419 5460 5600 5760 5824 5850 5915 6000 6084 6240 6300 6400 6500 6552 6720 6760 6825 7000 7098 7200 7280 7488 7605 7800 7875 8000 8064 8112 8190 8320 8400 8450 8736 8960 9000 9100 9360 9464 9600 9750 9984 10080 10140 10400 10500 10647 10816 10838 10920 11200 11375 11520 11648 11700 11830 12000 12168 12480 12600 12675 13000 13104 13440 13520 13650 14000 14196 14400 14560 14625 14976 15210 15600 15750 16000 16128 16224 16257 16380 16640 16800 16900 17472 17745 18000 18200 18720 18928 19200 19500 20160 20280 20475 20800 21000 21125 21294 21632 21676 21840 22400 22750 23296 23400 23660 24000 24336 24960 25200 25350 26000 26208 26880 27040 27095 27300 28000 28392 28800 29120 29250 29575 29952 30420 31200 31500 32000 32448 32514 32760 33600 33800 34125 34944 35490 36000 36400 37440 37856 37933 38025 39000 40320 40560 40950 41600 42000 42250 42588 43264 43352 43680 44800 45500 46800 47320 48000 48672 48771 49920 50400 50700 52000 52416 53235 54080 54190 54600 56000 56784 57600 58240 58500 59150 60840 62400 63000 63375 64896 65028 65520 67200 67600 68250 69888 70447 70980 72000 72800 74880 75712 75866 76050 78000 80640 81120 81285 81900 83200 84000 84500 85176 86704 87360 88725 91000 93600 94640 96000 97344 97542 100800 101400 102375 104000 104832 106470 108160 108380 109200 112000 113568 113799 116480 117000 118300 121680 124800 126000 126750 129792 130056 131040 134400 135200 135475 136500 140894 141960 144000 145600 147875 149760 151424 151732 152100 156000 162240 162570 163800 168000 169000 170352 173408 174720 177450 182000 187200 189280 189665 190125 194688 195084 201600 202800 204750 208000 209664 211341 212940 216320 216760 218400 224000 227136 227598 234000 236600 243360 243855 249600 252000 253500 260112 262080 266175 270400 270950 273000 281788 283920 288000 291200 295750 302848 303464 304200 312000 324480 325140 327600 336000 338000 340704 341397 346816 349440 352235 354900 364000 374400 378560 379330 380250 389376 390168 403200 405600 406425 409500 416000 422682 425880 433520 436800 443625 454272 455196 468000 473200 486720 487710 493129 504000 507000 520224 524160 532350 540800 541900 546000 563576 567840 568995 582400 591500 606928 608400 624000 634023 648960 650280 655200 672000 676000 677375 681408 682794 693632 704470 709800 728000 748800 757120 758660 760500 780336 811200 812850 819000 845364 851760 867040 873600 887250 908544 910392 915811 936000 946400 948325 973440 975420 986258 1008000 1014000 1040448 1048320 1056705 1064700 1081600 1083800 1092000 1127152 1135680 1137990 1183000 1213856 1216800 1219275 1248000 1268046 1300560 1310400 1330875 1352000 1354750 1362816 1365588 1387264 1408940 1419600 1456000 1479387 1514240 1517320 1521000 1560672 1622400 1625700 1638000 1690728 1703520 1706985 1734080 1747200 1761175 1774500 1820784 1831622 1872000 1892800 1896650 1946880 1950840 1972516 2016000 2028000 2032125 2080896 2113410 2129400 2167600 2184000 2254304 2271360 2275980 2366000 2427712 2433600 2438550 2465645 2536092 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240503944590 244321467520 246670712400 248138990450 256537540896 263115426560 263753568000 264290049000 267226605100 274861650960 277915669304 281909385600 286314219750 293185761024 296004854880 297766788540 305401834400 307712496000 308338390500 312655127967 317617907776 320671926120 328894283200 334033256375 338291262720 342050054528 343577063700 347394586630 352386732000 357320146248 366482201280 369254995200 370006068600 372208485675 381752293000 384806311344 394673139840 397022384720 400839907650 411117854000 416873503956 422864078400 427562568160 429471329625 439778641536 446650182810 458102751600 461568744000 462507585750 469848976000 473607767808 476426861664 481007889180 488642935040 493341424800 496277980900 513075081792 521091879945 528580098000 534453210200 549723301920 555831338608 563818771200 572628439500 592009709760 595533577080 601259861475 610803668800 615424992000 616676781000 620347476125 625310255934 635235815552 641343852240 657788566400 668066512750 684100109056 687154127400 694789173260 704773464000 714640292496 732964402560 740012137200 744416971350 763504586000 769612622688 789346279680 794044769440 801679815300 822235708000 833747007912 845728156800 855125136320 858942659250 868486466575 879557283072 893300365620 916205503200 923137488000 925015171500 939697952000 952853723328 962015778360 986682849600 992555961800 1002099769125 1026150163584 1042183759890 1057160196000 1068906420400 1099446603840 1111662677216 1116625457025 1145256879000 1184019419520 1191067154160 1202519722950 1221607337600 1233353562000 1240694952250 1250620511868 1270471631104 1282687704480 1315577132800 1336133025500 1374308254800 1389578346520 1409546928000 1429280584992 1465928805120 1480024274400 1488833942700 1527009172000 1539225245376 1563275639835 1588089538880 1603359630600 1644471416000 1667494015824 1691456313600 1710250272640 1717885318500 1736972933150 1786600731240 1832411006400 1846274976000 1850030343000 1861042428375 1905707446656 1924031556720 1973365699200 1985111923600 2004199538250 2052300327168 2084367519780 2114320392000 2137812840800 2198893207680 2223325354432 2233250914050 2290513758000 2368038839040 2382134308320 2405039445900 2443214675200 2466707124000 2481389904500 2501241023736 2565375408960 2605459399725 2672266051000 2748616509600 2779156693040 2819093856000 2858561169984 2960048548800 2977667885400 3006299307375 3054018344000 3078450490752 3126551279670 3176179077760 3206719261200 3288942832000 3334988031648 3420500545280 3435770637000 3473945866300 3573201462480 3664822012800 3700060686000 3722084856750 3811414893312 3848063113440 3946731398400 3970223847200 4008399076500 4168735039560 4228640784000 4275625681600 4342432332875 4397786415360 4446650708864 4466501828100 4581027516000 4764268616640 4810078891800 4933414248000 4962779809000 5002482047472 5130750817920 5210918799450 5344532102000 5497233019200 5558313386080 5583127285125 5717122339968 5920097097600 5955335770800 6012598614750 6108036688000 6156900981504 6253102559340 6352358155520 6413438522400 6577885664000 6669976063296 6871541274000 6947891732600 7146402924960 7329644025600 7400121372000 7444169713500 7696126226880 7816378199175 7940447694400 8016798153000 8337470079120 8457281568000 8551251363200 8684864665750 8893301417728 8933003656200 9162055032000 9528537233280 9620157783600 9866828496000 9925559618000 10004964094944 10261501635840 10421837598900 10689064204000 10994466038400 11116626772160 11166254570250 11434244679936 11840194195200 11910671541600 12025197229500 12216073376000 12506205118680 12826877044800 13027296998625 13339952126592 13743082548000 13895783465200 14292805849920 14800242744000 14888339427000 15392252453760 15632756398350 15880895388800 16033596306000 16674940158240 17102502726400 17369729331500 17866007312400 18324110064000 19057074466560 19240315567200 19733656992000 19851119236000 20009928189888 20843675197800 21378128408000 21988932076800 22233253544320 22332509140500 23821343083200 24050394459000 25012410237360 25653754089600 26054593997250 26679904253184 27486165096000 27791566930400 28585611699840 29600485488000 29776678854000 30784504907520 31265512796700 31761790777600 32067192612000 33349880316480 34739458663000 35732014624800 36648220128000 38480631134400 39081890995875 39702238472000 40019856379776 41687350395600 42756256816000 44466507088640 44665018281000 47642686166400 48100788918000 50024820474720 51307508179200 52109187994500 54972330192000 55583133860800 57171223399680 59200970976000 59553357708000 62531025593400 64134385224000 66699760632960 69478917326000 71464029249600 76961262268800 78163781991750 79404476944000 80039712759552 83374700791200 85512513632000 89330036562000 95285372332800 96201577836000 100049640949440 104218375989000 109944660384000 111166267721600 119106715416000 125062051186800 128268770448000 133399521265920 138957834652000 142928058499200 153922524537600 156327563983500 158808953888000 166749401582400 178660073124000 192403155672000 200099281898880 208436751978000 222332535443200 238213430832000 250124102373600 256537540896000 277915669304000 285856116998400 312655127967000 333498803164800 357320146248000 384806311344000 400198563797760 416873503956000 476426861664000 500248204747200 555831338608000 625310255934000 666997606329600 714640292496000 769612622688000 833747007912000 1000496409494400 1111662677216000 1250620511868000 1429280584992000 1667494015824000 2000992818988800 2501241023736000 3334988031648000 5002482047472000 10004964094944000
- Sum of all divisors σ(n): 44560328094408672
- Sum of proper divisors (its aliquot sum) s(n): 34555363999464672
- 10004964094944000 is an abundant number, because the sum of its proper divisors (34555363999464672) is greater than itself. Its abundance is 24550399904520672
Bases of 10004964094944000
- Binary: 1000111000101101110110001110101101111010100011000000002
- Hexadecimal: 0x238B763ADEA300
- Base-36: 2QIGP1XM0W0
Squares and roots of 10004964094944000
- 10004964094944000 squared (100049640949440002) is 100099306541118613046363136000000
- 10004964094944000 cubed (100049640949440003) is 1001489967872684803498759103681005584384000000000
-
The
square root of 10004964094944000 is 100024817.3952044763 -
The
cube root of 10004964094944000 is 215479.1125004219
Scales and comparisons
How big is 10004964094944000?- 10,004,964,094,944,000 seconds is equal to 318,126,910 years, 43 weeks, 2 days, 8 hours.
-
To count from 1 to 10,004,964,094,944,000 would take you about nine hundred fifty-four million, three hundred eighty thousand, seven hundred thirty-two 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 10004964094944000 cubic inches would be around 17956.6 feet tall.
Recreational maths with 10004964094944000
- 10004964094944000 backwards is 00044949046940001
- The number of decimal digits it has is: 17
- The sum of 10004964094944000's digits is 54
- More coming soon!
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"Number 10004964094944000 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 10004964094944000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/10004964094944000/
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Numbermatics. 2024. "Number 10004964094944000 - Facts about the integer". https://numbermatics.com/n/10004964094944000/
The information we have on file for 10004964094944000 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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