138726456980914432000
138,726,456,980,914,432,000 is an even composite number composed of five prime numbers multiplied together.
138726456980914432000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 138726456980914432000:
211 × 53 × 72 × 594 × 973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 59 × 59 × 59 × 59 × 97 × 97 × 97)See below for interesting mathematical facts about the number 138726456980914432000 from the Numbermatics database.
Names of 138726456980914432000
- Cardinal: 138726456980914432000 can be written as One hundred thirty-eight quintillion, seven hundred twenty-six quadrillion, four hundred fifty-six trillion, nine hundred eighty billion, nine hundred fourteen million, four hundred thirty-two thousand.
Scientific notation
- Scientific notation: 1.38726456980914432 × 1020
Factors of 138726456980914432000
Divisors of 138726456980914432000
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 59 64 70 80 97 98 100 112 118 125 128 140 160 175 194 196 200 224 236 245 250 256 280 295 320 350 388 392 400 413 448 472 485 490 500 512 560 590 640 679 700 776 784 800 826 875 896 944 970 980 1000 1024 1120 1180 1225 1280 1358 1400 1475 1552 1568 1600 1652 1750 1792 1888 1940 1960 2000 2048 2065 2240 2360 2425 2450 2560 2716 2800 2891 2950 3104 3136 3200 3304 3395 3481 3500 3584 3776 3880 3920 4000 4130 4480 4720 4753 4850 4900 5120 5432 5600 5723 5782 5900 6125 6208 6272 6400 6608 6790 6962 7000 7168 7375 7552 7760 7840 8000 8260 8960 9409 9440 9506 9700 9800 10240 10325 10864 11200 11446 11564 11800 12125 12250 12416 12544 12800 13216 13580 13924 14000 14336 14455 14750 15104 15520 15680 16000 16520 16975 17405 17920 18818 18880 19012 19400 19600 20650 21728 22400 22892 23128 23600 23765 24250 24367 24500 24832 25088 25600 26432 27160 27848 28000 28615 28910 29500 30208 31040 31360 32000 33040 33950 34810 35840 37636 37760 38024 38800 39200 40061 41300 43456 44800 45784 46256 47045 47200 47530 48500 48734 49000 49664 50176 51200 51625 52864 54320 55696 56000 57230 57820 59000 60416 62080 62720 64000 65863 66080 67900 69620 71680 72275 75272 75520 76048 77600 78400 80122 82600 84875 86912 87025 89600 91568 92512 94090 94400 95060 97000 97468 98000 99328 100352 103250 105728 108640 111392 112000 114460 115640 118000 118825 120832 121835 124160 125440 128000 131726 132160 135800 139240 143075 144550 150544 151040 152096 155200 156800 160244 165200 169750 170569 173824 174050 179200 183136 185024 188180 188800 190120 194000 194936 196000 198656 200305 205379 206500 211456 217280 222784 224000 228920 231280 235225 236000 237650 243670 248320 250880 256000 263452 264320 271600 278480 280427 286150 289100 301088 302080 304192 310400 313600 320488 329315 330400 337657 339500 341138 347648 348100 358400 361375 366272 370048 376360 377600 380240 388000 389872 392000 400610 410758 413000 422912 434560 435125 445568 448000 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108380044516339400 113246087331358720 117564794051622400 123862908018673600 135475055645424250 138726456980914432 141557609164198400 143016965959705600 146955992564528000 154828635023342000 158544522263902208 167949705788032000 173408071226143040 176947011455248000 178771207449632000 198180652829877760 204309951371008000 216760089032678800 235129588103244800 247725816037347200 270950111290848500 277452913961828864 283115218328396800 286033931919411200 293911985129056000 309657270046684000 335899411576064000 346816142452286080 353894022910496000 357542414899264000 396361305659755520 433520178065357600 470259176206489600 495451632074694400 541900222581697000 554905827923657728 566230436656793600 587823970258112000 619314540093368000 693632284904572160 707788045820992000 715084829798528000 792722611319511040 867040356130715200 990903264149388800 1083800445163394000 1109811655847315456 1175647940516224000 1238629080186736000 1387264569809144320 1415576091641984000 1430169659597056000 1734080712261430400 1981806528298777600 2167600890326788000 2351295881032448000 2477258160373472000 2774529139618288640 2831152183283968000 3468161424522860800 3963613056597555200 4335201780653576000 4954516320746944000 5549058279236577280 6936322849045721600 8670403561307152000 9909032641493888000 13872645698091443200 17340807122614304000 19818065282987776000 27745291396182886400 34681614245228608000 69363228490457216000 138726456980914432000
- Sum of all divisors σ(n): 413905429392524269200
- Sum of proper divisors (its aliquot sum) s(n): 275178972411609837200
- 138726456980914432000 is an abundant number, because the sum of its proper divisors (275178972411609837200) is greater than itself. Its abundance is 136452515430695405200
Bases of 138726456980914432000
- Binary: 11110000101001101110110000110011110101011111110100111101000000000002
- Hexadecimal: 0x78537619EAFE9E800
- Base-36: T9Z88SLJ8LM9S
Squares and roots of 138726456980914432000
- 138726456980914432000 squared (1387264569809144320002) is 19245029866477502543419106905882624000000
- 138726456980914432000 cubed (1387264569809144320003) is 2669794807868304671878334071894730568031675579629568000000000
-
The
square root of 138726456980914432000 is 11778219601.4896254777 -
The
cube root of 138726456980914432000 is 5176701.2009033761
Scales and comparisons
How big is 138726456980914432000?- 138,726,456,980,914,432,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,726,456,980,914,432,000 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 138726456980914432000 cubic inches would be around 431391.8 feet tall.
Recreational maths with 138726456980914432000
- 138726456980914432000 backwards is 000234419089654627831
- The number of decimal digits it has is: 21
- The sum of 138726456980914432000's digits is 82
- More coming soon!
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"Number 138726456980914432000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
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Numbermatics. (2024). Number 138726456980914432000 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/138726456980914432000/
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Numbermatics. 2024. "Number 138726456980914432000 - Facts about the integer". https://numbermatics.com/n/138726456980914432000/
The information we have on file for 138726456980914432000 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!
Keywords: Divisors of 138726456980914432000, math, Factors of 138726456980914432000, curriculum, school, college, exams, university, Prime factorization of 138726456980914432000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, seven hundred twenty-six quadrillion, four hundred fifty-six trillion, nine hundred eighty billion, nine hundred fourteen million, four hundred thirty-two thousand.