42757505414075144000
42,757,505,414,075,144,000 is an even composite number composed of five prime numbers multiplied together.
42757505414075144000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, two hundred forty divisors.
Prime factorization of 42757505414075144000:
26 × 53 × 74 × 113 × 11873
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 11 × 11 × 11 × 1187 × 1187 × 1187)See below for interesting mathematical facts about the number 42757505414075144000 from the Numbermatics database.
Names of 42757505414075144000
- Cardinal: 42757505414075144000 can be written as Forty-two quintillion, seven hundred fifty-seven quadrillion, five hundred five trillion, four hundred fourteen billion, seventy-five million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 4.2757505414075144 × 1019
Factors of 42757505414075144000
Divisors of 42757505414075144000
- Number of divisors d(n): 2240
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 49 50 55 56 64 70 77 80 88 98 100 110 112 121 125 140 154 160 175 176 196 200 220 224 242 245 250 275 280 308 320 343 350 352 385 392 400 440 448 484 490 500 539 550 560 605 616 686 700 704 770 784 800 847 875 880 968 980 1000 1078 1100 1120 1187 1210 1225 1232 1331 1372 1375 1400 1540 1568 1600 1694 1715 1750 1760 1925 1936 1960 2000 2156 2200 2240 2374 2401 2420 2450 2464 2662 2695 2744 2750 2800 3025 3080 3136 3388 3430 3500 3520 3773 3850 3872 3920 4000 4235 4312 4400 4748 4802 4840 4900 4928 5324 5390 5488 5500 5600 5929 5935 6050 6125 6160 6655 6776 6860 7000 7546 7700 7744 7840 8000 8309 8470 8575 8624 8800 9317 9496 9604 9625 9680 9800 10648 10780 10976 11000 11200 11858 11870 12005 12100 12250 12320 13057 13310 13475 13552 13720 14000 15092 15125 15400 15680 16618 16940 17150 17248 17600 18634 18865 18992 19208 19250 19360 19600 21175 21296 21560 21952 22000 23716 23740 24010 24200 24500 24640 26114 26411 26620 26950 27104 27440 28000 29645 29675 30184 30250 30800 33236 33275 33880 34300 34496 37268 37730 37984 38416 38500 38720 39200 41503 41545 42350 42592 42875 43120 44000 46585 47432 47480 48020 48400 49000 52228 52822 53240 53900 54208 54880 56000 58163 59290 59350 60025 60368 60500 61600 65219 65285 66472 66550 67375 67760 68600 74536 75460 75968 76832 77000 78400 83006 83090 84700 85184 85750 86240 88000 91399 93170 94325 94864 94960 96040 96800 98000 104456 105644 105875 106480 107800 109760 116326 118580 118700 120050 120736 121000 123200 130438 130570 132055 132944 133100 134750 135520 137200 143627 148225 148375 149072 150920 153664 154000 166012 166180 166375 169400 171500 172480 182798 186340 188650 189728 189920 192080 193600 196000 207515 207725 208912 211288 211750 212960 215600 232652 232925 237160 237400 240100 241472 242000 260876 261140 264110 265888 266200 269500 271040 274400 287254 290521 290815 296450 296750 298144 300125 301840 308000 326095 326425 332024 332360 332750 338800 343000 365596 372680 377300 379456 379840 384160 392000 407141 415030 415450 417824 422576 423500 425920 431200 456533 456995 465304 465850 471625 474320 474800 480200 484000 521752 522280 528220 531776 532400 539000 548800 574508 581042 581630 592900 593500 596288 600250 603680 616000 639793 652190 652850 660275 664048 664720 665500 677600 686000 718135 731192 741125 745360 754600 768320 814282 830060 830900 835648 845152 847000 862400 913066 913990 930608 931700 943250 948640 949600 960400 968000 1005389 1037575 1038625 1043504 1044560 1056440 1064800 1078000 1149016 1162084 1163260 1164625 1185800 1187000 1200500 1207360 1279586 1304380 1305700 1320550 1328096 1329440 1331000 1355200 1372000 1408969 1436270 1452605 1454075 1462384 1482250 1490720 1509200 1579897 1628564 1630475 1632125 1660120 1661800 1690304 1694000 1826132 1827980 1861216 1863400 1886500 1897280 1899200 1920800 2010778 2035705 2075150 2077250 2087008 2089120 2112880 2129600 2156000 2282665 2284975 2298032 2324168 2326520 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2251342955669500 2266499094305600 2294596190516000 2429403716708815 2478983384396750 2493149003736160 2524055809567600 2572963377908000 2726881722836425 2776461390524360 2826942506715712 2833123867882000 3054107529576796 3116436254670200 3155069761959500 3173098732027840 3212434666722400 3274680662792000 3470576738155450 3490408605230624 3533678133394640 3561641433908800 3602148729071200 3605794013668000 3817634411970995 3887045946734104 3895545318337750 3966373415034800 4015543333403000 4363010756538280 4417097666743300 4442338224838976 4452051792386000 4502685911339000 4589192381032000 4858807433417630 4957966768793500 4986298007472320 5048111619135200 5145926755816000 5344688176759393 5453763445672850 5521372083429125 5552922781048720 5666247735764000 6108215059153592 6232872509340400 6310139523919000 6424869333444800 6941153476310900 6980817210461248 7067356266789280 7204297458142400 7211588027336000 7635268823941990 7774091893468208 7791090636675500 7932746830069600 8031086666806000 8676441845388625 8726021513076560 8834195333486600 8904103584772000 9005371822678000 9717614866835260 9915933537587000 10096223238270400 10689376353518786 10907526891345700 11042744166858250 11105845562097440 11332495471528000 12147018583544075 12216430118307184 12465745018680800 12620279047838000 13634408614182125 13882306952621800 14134712533578560 15270537647883980 15548183786936416 15582181273351000 15865493660139200 16062173333612000 17352883690777250 17452043026153120 17668390666973200 17808207169544000 18010743645356000 19088172059854975 19435229733670520 19831867075174000 21378752707037572 21815053782691400 22085488333716500 22211691124194880 24294037167088150 24432860236614368 24931490037361600 25240558095676000 26723440883796965 27268817228364250 27764613905243600 30541075295767960 31096367573872832 31164362546702000 32124346667224000 34705767381554500 34904086052306240 35336781333946400 36021487290712000 38176344119709950 38870459467341040 39663734150348000 42757505414075144 43630107565382800 44170976667433000 48588074334176300 48865720473228736 50481116191352000 53446881767593930 54537634456728500 55529227810487200 60735092917720375 61082150591535920 62328725093404000 69411534763109000 70673562667892800 76352688239419900 77740918934682080 79327468300696000 85515010828150288 87260215130765600 88341953334866000 95440860299274875 97176148668352600 106893763535187860 109075268913457000 111058455620974400 121470185835440750 122164301183071840 124657450186808000 133617204418984825 138823069526218000 152705376478839800 155481837869364160 171030021656300576 174520430261531200 176683906669732000 190881720598549750 194352297336705200 213787527070375720 218150537826914000 242940371670881500 244328602366143680 267234408837969650 277646139052436000 305410752957679600 342060043312601152 353367813339464000 381763441197099500 388704594673410400 427575054140751440 436301075653828000 485880743341763000 534468817675939300 555292278104872000 610821505915359200 668086022094924125 763526882394199000 777409189346820800 855150108281502880 872602151307656000 971761486683526000 1068937635351878600 1221643011830718400 1336172044189848250 1527053764788398000 1710300216563005760 1943522973367052000 2137875270703757200 2672344088379696500 3054107529576796000 3887045946734104000 4275750541407514400 5344688176759393000 6108215059153592000 8551501082815028800 10689376353518786000 21378752707037572000 42757505414075144000
- Sum of all divisors σ(n): 135988032899335668480
- Sum of proper divisors (its aliquot sum) s(n): 93230527485260524480
- 42757505414075144000 is an abundant number, because the sum of its proper divisors (93230527485260524480) is greater than itself. Its abundance is 50473022071185380480
Bases of 42757505414075144000
- Binary: 1001010001011000010010110010100010100101111100101001010111010000002
- Hexadecimal: 0x251612CA297CA5740
- Base-36: 90UNIOZ15HDFK
Squares and roots of 42757505414075144000
- 42757505414075144000 squared (427575054140751440002) is 1828204269234665251369664878620736000000
- 42757505414075144000 cubed (427575054140751440003) is 78169453939836491703523486648640694470303780585984000000000
-
The
square root of 42757505414075144000 is 6538922343.4810069627 -
The
cube root of 42757505414075144000 is 3496799.9434842719
Scales and comparisons
How big is 42757505414075144000?- 42,757,505,414,075,144,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,757,505,414,075,144,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 42757505414075144000 cubic inches would be around 291400 feet tall.
Recreational maths with 42757505414075144000
- 42757505414075144000 backwards is 00044157041450575724
- The number of decimal digits it has is: 20
- The sum of 42757505414075144000's digits is 65
- More coming soon!
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"Number 42757505414075144000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 42757505414075144000 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/42757505414075144000/
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Numbermatics. 2024. "Number 42757505414075144000 - Facts about the integer". https://numbermatics.com/n/42757505414075144000/
The information we have on file for 42757505414075144000 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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