42137517632000

Names of 42137517632000

• Cardinal: 42137517632000 can be written as Forty-two trillion, one hundred thirty-seven billion, five hundred seventeen million, six hundred thirty-two thousand.

Scientific notation

• Scientific notation: 4.2137517632 × 10¹³

Factors of 42137517632000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 38363

Divisors of 42137517632000

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 23 25 28 32 35 40 46 50 56 64 70 80 92 100 107 112 115 125 128 140 160 161 175 184 200 214 224 230 250 256 280 320 322 350 368 400 428 448 460 500 512 535 560 575 640 644 700 736 749 800 805 856 875 896 920 1000 1070 1120 1150 1280 1288 1400 1472 1498 1600 1610 1712 1750 1792 1840 2000 2140 2240 2300 2461 2560 2576 2675 2800 2875 2944 2996 3200 3220 3424 3500 3584 3680 3745 4000 4025 4280 4480 4600 4922 5152 5350 5600 5750 5888 5992 6400 6440 6848 7000 7360 7490 8000 8050 8560 8960 9200 9844 10304 10700 11200 11500 11776 11984 12305 12800 12880 13375 13696 14000 14720 14980 16000 16100 17120 17227 17920 18400 18725 19688 20125 20608 21400 22400 23000 23968 24610 25760 26750 27392 28000 29440 29960 32000 32200 34240 34454 36800 37450 38219 39376 40250 41216 42800 44800 46000 47936 49220 51520 53500 54784 56000 58880 59920 61525 64000 64400 68480 68908 73600 74900 76438 78752 80500 82432 85600 86135 89600 92000 93625 95872 98440 103040 107000 112000 119840 123050 128800 136960 137816 147200 149800 152876 157504 161000 171200 172270 184000 187250 191095 191744 196880 206080 214000 224000 239680 246100 257600 267533 273920 275632 294400 299600 305752 307625 315008 322000 342400 344540 368000 374500 382190 383488 393760 412160 428000 430675 448000 479360 492200 515200 535066 551264 599200 611504 615250 630016 644000 684800 689080 736000 749000 764380 787520 856000 861350 879037 955475 958720 984400 1030400 1070132 1102528 1198400 1223008 1230500 1260032 1288000 1337665 1369600 1378160 1472000 1498000 1528760 1575040 1712000 1722700 1758074 1910950 1917440 1968800 2060800 2140264 2153375 2205056 2396800 2446016 2461000 2576000 2675330 2756320 2996000 3057520 3150080 3424000 3445400 3516148 3821900 3937600 4089433 4280528 4306750 4395185 4410112 4777375 4793600 4892032 4922000 5152000 5350660 5512640 5992000 6115040 6153259 6300160 6688325 6848000 6890800 7032296 7643800 7875200 8178866 8561056 8613500 8790370 8820224 9554750 9587200 9784064 9844000 10304000 10701320 11025280 11984000 12230080 12306518 13376650 13781600 14064592 15287600 15750400 16357732 17122112 17227000 17580740 19109500 19568128 19688000 20447165 21402640 21975925 22050560 23968000 24460160 24613036 26753300 27563200 28129184 28626031 30575200 30766295 31500800 32715464 33441625 34244224 34454000 35161480 38219000 39376000 40894330 42805280 43951850 44101120 47936000 48920320 49226072 53506600 55126400 56258368 57252062 61150400 61532590 65430928 66883250 68488448 68908000 70322960 76438000 78752000 81788660 85610560 87903700 94056959 97840640 98452144 102235825 107013200 109879625 110252800 112516736 114504124 122300800 123065180 130861856 133766500 136976896 137816000 140645920 143130155 152876000 153831475 157504000 163577320 171221120 175807400 188113918 196904288 204471650 214026400 219759250 220505600 225033472 229008248 244601600 246130360 261723712 267533000 275632000 281291840 286260310 305752000 307662950 327154640 342442240 351614800 376227836 393808576 408943300 428052800 439518500 450066944 458016496 470284795 489203200 492260720 511179125 523447424 535066000 551264000 562583680 572520620 611504000 615325900 654309280 658398713 684884480 703229600 715650775 752455672 769157375 787617152 817886600 856105600 879037000 916032992 940569590 984521440 1022358250 1046894848 1070132000 1102528000 1125167360 1145041240 1223008000 1230651800 1308618560 1316797426 1406459200 1431301550 1504911344 1538314750 1575234304 1635773200 1712211200 1758074000 1832065984 1881139180 1969042880 2044716500 2093789696 2140264000 2250334720 2290082480 2351423975 2446016000 2461303600 2617237120 2633594852 2812918400 2862603100 3009822688 3076629500 3150468608 3271546400 3291993565 3424422400 3516148000 3578253875 3664131968 3762278360 3938085760 4089433000 4280528000 4580164960 4702847950 4922607200 5234474240 5267189704 5625836800 5725206200 6019645376 6153259000 6543092800 6583987130 7032296000 7156507750 7328263936 7524556720 7876171520 8178866000 8561056000 9160329920 9405695900 9845214400 10468948480 10534379408 11251673600 11450412400 11757119875 12039290752 12306518000 13086185600 13167974260 14064592000 14313015500 14656527872 15049113440 15752343040 16357732000 16459967825 17122112000 18320659840 18811391800 19690428800 21068758816 22900824800 23514239750 24078581504 24613036000 26172371200 26335948520 28129184000 28626031000 30098226880 32715464000 32919935650 36641319680 37622783600 39380857600 42137517632 45801649600 47028479500 48157163008 49226072000 52344742400 52671897040 56258368000 57252062000 60196453760 65430928000 65839871300 73282639360 75245567200 78761715200 82299839125 84275035264 91603299200 94056959000 98452144000 105343794080 114504124000 120392907520 130861856000 131679742600 150491134400 164599678250 168550070528 183206598400 188113918000 196904288000 210687588160 229008248000 240785815040 261723712000 263359485200 300982268800 329199356500 337100141056 366413196800 376227836000 393808576000 421375176320 458016496000 526718970400 601964537600 658398713000 752455672000 842750352640 916032992000 1053437940800 1203929075200 1316797426000 1504911344000 1685500705280 1832065984000 2106875881600 2633594852000 3009822688000 4213751763200 5267189704000 6019645376000 8427503526400 10534379408000 21068758816000 42137517632000
• Sum of all divisors σ(n): 126478264872960
• Sum of proper divisors (its aliquot sum) s(n): 84340747240960
• 42137517632000 is an abundant number, because the sum of its proper divisors (84340747240960) is greater than itself. Its abundance is 42203229608960

Bases of 42137517632000

• Binary: 1001100101001011100111110001010010101000000000₂
• Hexadecimal: 0x2652E7C52A00
• Base-36: EXPPI1FCW

Squares and roots of 42137517632000

• 42137517632000 squared (42137517632000²) is 1775570392187110887424000000
• 42137517632000 cubed (42137517632000³) is 74818128707641540061967967059968000000000
• The square root of 42137517632000 is 6491341.7435842953
• The cube root of 42137517632000 is 34798.1628131275

Scales and comparisons

• 42,137,517,632,000 seconds is equal to 1,339,842 years, 37 weeks, 3 days, 8 hours, 53 minutes, 20 seconds.
• To count from 1 to 42,137,517,632,000 would take you about three million, three hundred forty-nine thousand, six hundred 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 42137517632000 cubic inches would be around 2899.8 feet tall.

Recreational maths with 42137517632000

• 42137517632000 backwards is 00023671573124
• The number of decimal digits it has is: 14
• The sum of 42137517632000's digits is 41
• More coming soon!