74138352942643200
74,138,352,942,643,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 74138352942643200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 576 divisors.
74138352942643200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 74138352942643200:
211 × 33 × 52 × 53 × 1011890081
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 53 × 1011890081)See below for interesting mathematical facts about the number 74138352942643200 from the Numbermatics database.
Names of 74138352942643200
- Cardinal: 74138352942643200 can be written as Seventy-four quadrillion, one hundred thirty-eight trillion, three hundred fifty-two billion, nine hundred forty-two million, six hundred forty-three thousand, two hundred.
Scientific notation
- Scientific notation: 7.41383529426432 × 1016
Factors of 74138352942643200
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 18
- Sum of prime factors: 1011890144
Divisors of 74138352942643200
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 53 54 60 64 72 75 80 90 96 100 106 108 120 128 135 144 150 159 160 180 192 200 212 216 225 240 256 265 270 288 300 318 320 360 384 400 424 432 450 477 480 512 530 540 576 600 636 640 675 720 768 795 800 848 864 900 954 960 1024 1060 1080 1152 1200 1272 1280 1325 1350 1431 1440 1536 1590 1600 1696 1728 1800 1908 1920 2048 2120 2160 2304 2385 2400 2544 2560 2650 2700 2862 2880 3072 3180 3200 3392 3456 3600 3816 3840 3975 4240 4320 4608 4770 4800 5088 5120 5300 5400 5724 5760 6144 6360 6400 6784 6912 7155 7200 7632 7680 7950 8480 8640 9216 9540 9600 10176 10240 10600 10800 11448 11520 11925 12720 12800 13568 13824 14310 14400 15264 15360 15900 16960 17280 18432 19080 19200 20352 21200 21600 22896 23040 23850 25440 25600 27136 27648 28620 28800 30528 30720 31800 33920 34560 35775 38160 38400 40704 42400 43200 45792 46080 47700 50880 51200 54272 55296 57240 57600 61056 63600 67840 69120 71550 76320 76800 81408 84800 86400 91584 92160 95400 101760 108544 114480 115200 122112 127200 135680 138240 143100 152640 153600 162816 169600 172800 183168 190800 203520 228960 230400 244224 254400 271360 276480 286200 305280 325632 339200 345600 366336 381600 407040 457920 460800 488448 508800 542720 572400 610560 678400 691200 732672 763200 814080 915840 976896 1017600 1144800 1221120 1356800 1382400 1465344 1526400 1628160 1831680 2035200 2289600 2442240 2713600 2930688 3052800 3663360 4070400 4579200 4884480 6105600 7326720 8140800 9158400 12211200 14653440 18316800 24422400 36633600 73267200 1011890081 2023780162 3035670243 4047560324 5059450405 6071340486 8095120648 9107010729 10118900810 12142680972 15178351215 16190241296 18214021458 20237801620 24285361944 25297252025 27321032187 30356702430 32380482592 36428042916 40475603240 45535053645 48570723888 50594504050 53630174293 54642064374 60713404860 64760965184 72856085832 75891756075 80951206480 91070107290 97141447776 101189008100 107260348586 109284128748 121426809720 129521930368 136605160935 145712171664 151783512150 160890522879 161902412960 182140214580 194282895552 202378016200 214520697172 218568257496 227675268225 242853619440 259043860736 268150871465 273210321870 291424343328 303567024300 321781045758 323804825920 364280429160 388565791104 404756032400 429041394344 437136514992 455350536450 482671568637 485707238880 518087721472 536301742930 546420643740 582848686656 607134048600 643562091516 647609651840 683025804675 728560858320 777131582208 804452614395 809512064800 858082788688 874273029984 910701072900 965343137274 971414477760 1036175442944 1072603485860 1092841287480 1165697373312 1214268097200 1287124183032 1295219303680 1340754357325 1366051609350 1448014705911 1457121716640 1554263164416 1608905228790 1619024129600 1716165577376 1748546059968 1821402145800 1930686274548 1942828955520 2072350885888 2145206971720 2185682574960 2331394746624 2413357843185 2428536194400 2574248366064 2590438607360 2681508714650 2732103218700 2896029411822 2914243433280 3108526328832 3217810457580 3238048259200 3432331154752 3497092119936 3642804291600 3861372549096 3885657911040 4022263071975 4290413943440 4371365149920 4662789493248 4826715686370 4857072388800 5148496732128 5180877214720 5363017429300 5464206437400 5792058823644 5828486866560 6217052657664 6435620915160 6476096518400 6864662309504 6994184239872 7240073529555 7285608583200 7722745098192 7771315822080 8044526143950 8580827886880 8742730299840 9325578986496 9653431372740 9714144777600 10296993464256 10361754429440 10726034858600 10928412874800 11584117647288 11656973733120 12066789215925 12871241830320 12952193036800 13729324619008 13988368479744 14480147059110 14571217166400 15445490196384 15542631644160 16089052287900 17161655773760 17485460599680 18651157972992 19306862745480 19428289555200 20593986928512 21452069717200 21856825749600 23168235294576 23313947466240 24133578431850 25742483660640 25904386073600 27458649238016 27976736959488 28960294118220 29142434332800 30890980392768 31085263288320 32178104575800 34323311547520 34970921199360 36200367647775 38613725490960 38856579110400 41187973857024 42904139434400 43713651499200 46336470589152 46627894932480 48267156863700 51484967321280 51808772147200 54917298476032 55953473918976 57920588236440 58284868665600 61781960785536 64356209151600 68646623095040 69941842398720 72400735295550 77227450981920 77713158220800 82375947714048 85808278868800 87427302998400 92672941178304 93255789864960 96534313727400 102969934642560 109834596952064 115841176472880 116569737331200 123563921571072 128712418303200 137293246190080 139883684797440 144801470591100 154454901963840 155426316441600 164751895428096 171616557737600 174854605996800 185345882356608 193068627454800 205939869285120 231682352945760 233139474662400 247127843142144 257424836606400 274586492380160 279767369594880 289602941182200 308909803927680 329503790856192 343233115475200 349709211993600 370691764713216 386137254909600 411879738570240 463364705891520 466278949324800 494255686284288 514849673212800 549172984760320 579205882364400 617819607855360 686466230950400 699418423987200 741383529426432 772274509819200 823759477140480 926729411783040 988511372568576 1029699346425600 1158411764728800 1235639215710720 1372932461900800 1398836847974400 1482767058852864 1544549019638400 1647518954280960 1853458823566080 2059398692851200 2316823529457600 2471278431421440 2745864923801600 2965534117705728 3089098039276800 3706917647132160 4118797385702400 4633647058915200 4942556862842880 6178196078553600 7413835294264320 8237594771404800 9267294117830400 12356392157107200 14827670588528640 18534588235660800 24712784314214400 37069176471321600 74138352942643200
- Sum of all divisors σ(n): 277461474752498400
- Sum of proper divisors (its aliquot sum) s(n): 203323121809855200
- 74138352942643200 is an abundant number, because the sum of its proper divisors (203323121809855200) is greater than itself. Its abundance is 129184768867212000
Bases of 74138352942643200
- Binary: 1000001110110010001110000011011110110000011111000000000002
- Hexadecimal: 0x10764706F60F800
- Base-36: K9ZUP5MI2O0
Squares and roots of 74138352942643200
- 74138352942643200 squared (741383529426432002) is 5496495377047931632589002506240000
- 74138352942643200 cubed (741383529426432003) is 407501114211186267254486966661424923770093568000000
-
The
square root of 74138352942643200 is 272283589.1908346355 -
The
cube root of 74138352942643200 is 420095.1276260547
Scales and comparisons
How big is 74138352942643200?- 74,138,352,942,643,200 seconds is equal to 2,357,370,298 years, 30 weeks, 6 days.
-
To count from 1 to 74,138,352,942,643,200 would take you about seven billion, seventy-two million, one hundred ten thousand, eight hundred ninety-five 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 74138352942643200 cubic inches would be around 35007.9 feet tall.
Recreational maths with 74138352942643200
- 74138352942643200 backwards is 00234624925383147
- The number of decimal digits it has is: 17
- The sum of 74138352942643200's digits is 63
- More coming soon!
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The information we have on file for 74138352942643200 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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