2004940013744100
2,004,940,013,744,100 is an even composite number composed of seven prime numbers multiplied together.
2004940013744100 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 2004940013744100:
22 × 3 × 52 × 17 × 292 × 131 × 18892
(2 × 2 × 3 × 5 × 5 × 17 × 29 × 29 × 131 × 1889 × 1889)See below for interesting mathematical facts about the number 2004940013744100 from the Numbermatics database.
Names of 2004940013744100
- Cardinal: 2004940013744100 can be written as Two quadrillion, four trillion, nine hundred forty billion, thirteen million, seven hundred forty-four thousand, one hundred.
Scientific notation
- Scientific notation: 2.0049400137441 × 1015
Factors of 2004940013744100
Divisors of 2004940013744100
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 5 6 10 12 15 17 20 25 29 30 34 50 51 58 60 68 75 85 87 100 102 116 131 145 150 170 174 204 255 262 290 300 340 348 393 425 435 493 510 524 580 655 725 786 841 850 870 986 1020 1275 1310 1450 1479 1572 1682 1700 1740 1889 1965 1972 2175 2227 2465 2523 2550 2620 2900 2958 3275 3364 3778 3799 3930 4205 4350 4454 4930 5046 5100 5667 5916 6550 6681 7395 7556 7598 7860 8410 8700 8908 9445 9825 9860 10092 11135 11334 11397 12325 12615 13100 13362 14297 14790 15196 16820 18890 18995 19650 21025 22270 22668 22794 24650 25230 26724 28335 28594 29580 32113 33405 36975 37780 37990 39300 42050 42891 44540 45588 47225 49300 50460 54781 55675 56670 56985 57188 63075 64226 64583 66810 71485 73950 75980 84100 85782 94450 94975 96339 109562 110171 111350 113340 113970 126150 128452 129166 133620 141675 142970 147900 160565 164343 167025 171564 188900 189950 192678 193749 214455 219124 220342 222700 227940 247459 252300 258332 273905 283350 284925 285940 321130 322915 328686 330513 334050 357425 379900 385356 387498 428910 440684 481695 494918 547810 550855 566700 569850 642260 645830 657372 661026 668100 714850 742377 774996 802825 821715 857820 931277 963390 968745 989836 1072275 1095620 1101710 1139700 1237295 1291660 1322052 1369525 1429700 1484754 1588649 1605650 1614575 1643430 1652565 1862554 1872907 1926780 1937490 2144550 2203420 2408475 2474590 2739050 2754275 2793831 2969508 3177298 3211300 3229150 3286860 3305130 3568321 3711885 3725108 3745814 3874980 4108575 4206803 4289100 4656385 4765947 4816950 4843725 4949180 5478100 5508550 5587662 5618721 6186475 6354596 6458300 6610260 7136642 7176311 7423770 7491628 7943245 8217150 8262825 8413606 9312770 9364535 9531894 9633900 9687450 10704963 11017100 11175324 11237442 12372950 12620409 13969155 14273284 14352622 14847540 15886490 16434300 16525650 16827212 17841605 18559425 18625540 18729070 19063788 19374900 21034015 21409926 21528933 22474884 23281925 23829735 24745900 25240818 27007033 27938310 28093605 28705244 31772980 33051300 35683210 35881555 37118850 37458140 39716225 42068030 42819852 43057866 46563850 46822675 47659470 50481636 53524815 54014066 55876620 56187210 60661457 63102045 69845775 71366420 71763110 74237700 79432450 81021099 84136060 86115732 89208025 93127700 93645350 95318940 103481309 105170075 107049630 107644665 108028132 112374420 119148675 121322914 121997287 126204090 135035165 139691550 140468025 143526220 158864900 162042198 178416050 179407775 181984371 187290700 206962618 208113019 210340150 214099260 215289330 238297350 242645828 243994574 252408180 267624075 270070330 279383100 280936050 303307285 310443927 315510225 324084396 356832100 358815550 363968742 365991861 405105495 413925236 416226038 420680300 430578660 467450051 476594700 487989148 517406545 535248150 538223325 540140660 561872100 606614570 609986435 620887854 624339057 631020450 675175825 717631100 727937484 731983722 810210990 832452076 909921855 934900102 1034813090 1040565095 1070496300 1076446650 1213229140 1219972870 1241775708 1248678114 1262040900 1350351650 1402350153 1463967444 1516536425 1552219635 1620421980 1759182253 1819843710 1829959305 1869800204 2025527475 2069626180 2081130190 2152893300 2337250255 2439945740 2497356228 2587032725 2700703300 2804700306 3000957961 3033072850 3049932175 3104439270 3121695285 3518364506 3537921323 3639687420 3659918610 4051054950 4162260380 4549609275 4674500510 5174065450 5202825475 5277546759 5609400612 6001915922 6066145700 6099864350 6208878540 6243390570 7011750765 7036729012 7075842646 7319837220 7761098175 7946650867 8102109900 8795911265 9002873883 9099218550 9149796525 9349001020 10348130900 10405650950 10555093518 10613763969 11686251275 12003831844 12199728700 12486781140 13556051479 14023501530 14151685292 15004789805 15522196350 15608476425 15893301734 17591822530 17689606615 18005747766 18198437100 18299593050 20811301900 21110187036 21227527938 23372502550 23839952601 26387733795 27112102958 28047003060 30009579610 31044392700 31216952850 31786603468 35058753825 35183645060 35379213230 36011495532 36599186100 39733254335 40668154437 42455055876 43979556325 45014369415 46745005100 47679905202 51016285337 52775467590 53068819845 54224205916 60019159220 62433905700 67780257395 70117507650 70758426460 75023949025 79466508670 81336308874 87959112650 88448033075 90028738830 95359810404 102032570674 105550935180 106137639690 119199763005 131938668975 135560514790 140235015300 150047898050 153048856011 158933017340 162672617748 175918225300 176896066150 180057477660 198666271675 203340772185 204065141348 212275279380 225071847075 230452875143 238399526010 255081426685 263877337950 265344099225 271121029580 300095796100 306097712022 338901286975 353792132300 393125492891 397332543350 406681544370 450143694150 460905750286 476799052020 510162853370 527754675900 530688198450 595998815025 612195424044 677802573950 691358625429 765244280055 786250985782 794665086700 813363088740 900287388300 921811500572 1016703860925 1020325706740 1061376396900 1152264375715 1179376478673 1191997630050 1275407133425 1355605147900 1382717250858 1530488560110 1572501971564 1965627464455 2033407721850 2304528751430 2358752957346 2383995260100 2550814266850 2765434501716 3060977120220 3456793127145 3826221400275 3931254928910 4066815443700 4609057502860 4717505914692 5101628533700 5761321878575 5896882393365 6683133379147 6913586254290 7652442800550 7862509857820 9828137322275 11522643757150 11793764786730 13366266758294 13827172508580 15304885601100 17283965635725 19656274644550 20049400137441 23045287514300 23587529573460 26732533516588 29484411966825 33415666895735 34567931271450 39312549289100 40098800274882 58968823933650 66831333791470 69135862542900 80197600549764 100247000687205 117937647867300 133662667582940 167078334478675 200494001374410 334156668957350 400988002748820 501235003436025 668313337914700 1002470006872050 2004940013744100
- Sum of all divisors σ(n): 6413250449013408
- Sum of proper divisors (its aliquot sum) s(n): 4408310435269308
- 2004940013744100 is an abundant number, because the sum of its proper divisors (4408310435269308) is greater than itself. Its abundance is 2403370421525208
Bases of 2004940013744100
- Binary: 1110001111101111011011110010101000010101111111001002
- Hexadecimal: 0x71F7B7950AFE4
- Base-36: JQOWQ65ZAC
Squares and roots of 2004940013744100
- 2004940013744100 squared (20049400137441002) is 4019784458712191896900284810000
- 2004940013744100 cubed (20049400137441003) is 8059426707898741600757493677148604457121000000
-
The
square root of 2004940013744100 is 44776556.5195013629 -
The
cube root of 2004940013744100 is 126095.7534871527
Scales and comparisons
How big is 2004940013744100?- 2,004,940,013,744,100 seconds is equal to 63,750,890 years, 39 weeks, 3 hours, 35 minutes.
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To count from 1 to 2,004,940,013,744,100 would take you about one hundred ninety-one million, two hundred fifty-two thousand, six hundred seventy-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 2004940013744100 cubic inches would be around 10508 feet tall.
Recreational maths with 2004940013744100
- 2004940013744100 backwards is 0014473100494002
- The number of decimal digits it has is: 16
- The sum of 2004940013744100's digits is 39
- More coming soon!
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