137438138990592000
137,438,138,990,592,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 137438138990592000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 4224 divisors.
137438138990592000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four thousand, two hundred twenty-four divisors.
Prime factorization of 137438138990592000:
221 × 35 × 53 × 113 × 1621
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 1621)See below for interesting mathematical facts about the number 137438138990592000 from the Numbermatics database.
Names of 137438138990592000
- Cardinal: 137438138990592000 can be written as One hundred thirty-seven quadrillion, four hundred thirty-eight trillion, one hundred thirty-eight billion, nine hundred ninety million, five hundred ninety-two thousand.
Scientific notation
- Scientific notation: 1.37438138990592 × 1017
Factors of 137438138990592000
Divisors of 137438138990592000
- Number of divisors d(n): 4224
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 81 88 90 96 99 100 108 110 120 121 125 128 132 135 144 150 160 162 165 176 180 192 198 200 216 220 225 240 242 243 250 256 264 270 275 288 297 300 320 324 330 352 360 363 375 384 396 400 405 432 440 450 480 484 486 495 500 512 528 540 550 576 594 600 605 640 648 660 675 704 720 726 750 768 792 800 810 825 864 880 891 900 960 968 972 990 1000 1024 1056 1080 1089 1100 1125 1152 1188 1200 1210 1215 1280 1296 1320 1331 1350 1375 1408 1440 1452 1485 1500 1536 1584 1600 1620 1621 1650 1728 1760 1782 1800 1815 1920 1936 1944 1980 2000 2025 2048 2112 2160 2178 2200 2250 2304 2376 2400 2420 2430 2475 2560 2592 2640 2662 2673 2700 2750 2816 2880 2904 2970 3000 3025 3072 3168 3200 3240 3242 3267 3300 3375 3456 3520 3564 3600 3630 3840 3872 3888 3960 3993 4000 4050 4096 4125 4224 4320 4356 4400 4455 4500 4608 4752 4800 4840 4860 4863 4950 5120 5184 5280 5324 5346 5400 5445 5500 5632 5760 5808 5940 6000 6050 6075 6144 6336 6400 6480 6484 6534 6600 6655 6750 6912 7040 7128 7200 7260 7425 7680 7744 7776 7920 7986 8000 8100 8105 8192 8250 8448 8640 8712 8800 8910 9000 9075 9216 9504 9600 9680 9720 9726 9801 9900 10125 10240 10368 10560 10648 10692 10800 10890 11000 11264 11520 11616 11880 11979 12000 12100 12150 12288 12375 12672 12800 12960 12968 13068 13200 13310 13365 13500 13824 14080 14256 14400 14520 14589 14850 15125 15360 15488 15552 15840 15972 16000 16200 16210 16335 16384 16500 16896 17280 17424 17600 17820 17831 18000 18150 18432 19008 19200 19360 19440 19452 19602 19800 19965 20250 20480 20736 21120 21296 21384 21600 21780 22000 22275 22528 23040 23232 23760 23958 24000 24200 24300 24315 24576 24750 25344 25600 25920 25936 26136 26400 26620 26730 27000 27225 27648 28160 28512 28800 29040 29178 29403 29700 30250 30375 30720 30976 31104 31680 31944 32000 32400 32420 32670 32768 33000 33275 33792 34560 34848 35200 35640 35662 35937 36000 36300 36864 37125 38016 38400 38720 38880 38904 39204 39600 39930 40500 40525 40960 41472 42240 42592 42768 43200 43560 43767 44000 44550 45056 45375 46080 46464 47520 47916 48000 48400 48600 48630 49005 49152 49500 50688 51200 51840 51872 52272 52800 53240 53460 53493 54000 54450 55296 56320 57024 57600 58080 58356 58806 59400 59895 60500 60750 61440 61952 62208 63360 63888 64000 64800 64840 65340 65536 66000 66550 66825 67584 69120 69696 70400 71280 71324 71874 72000 72600 72945 73728 74250 76032 76800 77440 77760 77808 78408 79200 79860 81000 81050 81675 81920 82944 84480 85184 85536 86400 87120 87534 88000 89100 89155 90112 90750 92160 92928 95040 95832 96000 96800 97200 97260 98010 98304 99000 99825 101376 102400 103680 103744 104544 105600 106480 106920 106986 107811 108000 108900 110592 111375 112640 114048 115200 116160 116712 117612 118800 119790 121000 121500 121575 122880 123904 124416 126720 127776 128000 129600 129680 130680 131072 131301 132000 133100 133650 135168 136125 138240 139392 140800 142560 142648 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11358523883520 11453178249216 11473256448000 11568866918400 11831795712000 11930394009600 12201539328000 12494376271872 12620582092800 12725753610240 12854296576000 12907413504000 13014975283200 13255993344000 13421693260800 13574137184256 13882640302080 14022868992000 14131003392000 14139726233600 14198154854400 14316472811520 14461083648000 14912992512000 15144698511360 15270904332288 15425155891200 15617970339840 15775727616000 15907192012800 16268719104000 16659168362496 16777116576000 16957204070400 16967671480320 17179767373824 17209884672000 17353300377600 17674657792000 17747693568000 17895591014400 18510187069440 18930873139200 19088630415360 19281444864000 19522462924800 19883990016000 20361205776384 20651861606400 20823960453120 21034303488000 21196505088000 21209589350400 21474709217280 21691625472000 22369488768000 22623561973760 22717047767040 22906356498432 23137733836800 23663591424000 23860788019200 24403078656000 24988752543744 25241164185600 25451507220480 25708593152000 25814827008000 26029950566400 26511986688000 26843386521600 27765280604160 28262006784000 28279452467200 28396309708800 28632945623040 28922167296000 29825985024000 30541808664576 30850311782400 31235940679680 31551455232000 31814384025600 32537438208000 33318336724992 33554233152000 33935342960640 34359534747648 34419769344000 34706600755200 35349315584000 35495387136000 35791182028800 37861746278400 38177260830720 38562889728000 39044925849600 39767980032000 40722411552768 41647920906240 42068606976000 42393010176000 42419178700800 42949418434560 43383250944000 44738977536000 45434095534080 45812712996864 46275467673600 47327182848000 47721576038400 48806157312000 49977505087488 50903014440960 51417186304000 51629654016000 52059901132800 53023973376000 53686773043200 55530561208320 56558904934400 56792619417600 57265891246080 57844334592000 59651970048000 61083617329152 62471881359360 63102910464000 63628768051200 65074876416000 67108466304000 67870685921280 68719069495296 69413201510400 70698631168000 70990774272000 71582364057600 75723492556800 76354521661440 77125779456000 78089851699200 79535960064000 83295841812480 84786020352000 84838357401600 85898836869120 86766501888000 89477955072000 91625425993728 92550935347200 94654365696000 95443152076800 97612314624000 99955010174976 101806028881920 103259308032000 104119802265600 106047946752000 107373546086400 113117809868800 113585238835200 114531782492160 115688669184000 119303940096000 122167234658304 124943762718720 126205820928000 127257536102400 130149752832000 134216932608000 137438138990592 138826403020800 141397262336000 141981548544000 143164728115200 152709043322880 154251558912000 156179703398400 159071920128000 166591683624960 169676714803200 171797673738240 173533003776000 178955910144000 183250851987456 189308731392000 190886304153600 195224629248000 203612057763840 208239604531200 212095893504000 214747092172800 227170477670400 229063564984320 231377338368000 238607880192000 249887525437440 254515072204800 260299505664000 268433865216000 274876277981184 277652806041600 282794524672000 283963097088000 286329456230400 305418086645760 312359406796800 318143840256000 339353429606400 343595347476480 347066007552000 357911820288000 366501703974912 378617462784000 381772608307200 390449258496000 416479209062400 424191787008000 429494184345600 458127129968640 462754676736000 477215760384000 499775050874880 509030144409600 520599011328000 536867730432000 549752555962368 565589049344000 567926194176000 572658912460800 610836173291520 624718813593600 636287680512000 687190694952960 694132015104000 715823640576000 763545216614400 780898516992000 832958418124800 848383574016000 858988368691200 916254259937280 954431520768000 1018060288819200 1041198022656000 1073735460864000 1099505111924736 1135852388352000 1145317824921600 1249437627187200 1272575361024000 1374381389905920 1388264030208000 1431647281152000 1527090433228800 1561797033984000 1696767148032000 1717976737382400 1832508519874560 1908863041536000 2082396045312000 2147470921728000 2290635649843200 2498875254374400 2545150722048000 2748762779811840 2863294562304000 3054180866457600 3123594067968000 3435953474764800 3817726083072000 4164792090624000 4294941843456000 4581271299686400 5090301444096000 5497525559623680 5726589124608000 6247188135936000 6871906949529600 7635452166144000 8589883686912000 9162542599372800 11453178249216000 12494376271872000 13743813899059200 15270904332288000 17179767373824000 22906356498432000 27487627798118400 34359534747648000 45812712996864000 68719069495296000 137438138990592000
- Sum of all divisors σ(n): 565558728819791616
- Sum of proper divisors (its aliquot sum) s(n): 428120589829199616
- 137438138990592000 is an abundant number, because the sum of its proper divisors (428120589829199616) is greater than itself. Its abundance is 290682450838607616
Bases of 137438138990592000
- Binary: 1111010000100011101000010010111010010000000000000000000002
- Hexadecimal: 0x1E847425D200000
- Base-36: 11L9R5F3EO00
Squares and roots of 137438138990592000
- 137438138990592000 squared (1374381389905920002) is 18889242049197284976664510464000000
- 137438138990592000 cubed (1374381389905920003) is 2596102274184511301846580688457726781554688000000000
-
The
square root of 137438138990592000 is 370726501.6027206005 -
The
cube root of 137438138990592000 is 516062.6426144309
Scales and comparisons
How big is 137438138990592000?- 137,438,138,990,592,000 seconds is equal to 4,370,107,695 years, 42 weeks, 6 days.
-
To count from 1 to 137,438,138,990,592,000 would take you about thirteen billion, one hundred ten million, three hundred twenty-three thousand and eighty-seven 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 137438138990592000 cubic inches would be around 43005.2 feet tall.
Recreational maths with 137438138990592000
- 137438138990592000 backwards is 000295099831834731
- 137438138990592000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137438138990592000's digits is 72
- More coming soon!
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Cite this page
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"Number 137438138990592000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 137438138990592000 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/137438138990592000/
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The information we have on file for 137438138990592000 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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