13728635936807400
13,728,635,936,807,400 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13728635936807400 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2304 divisors.
13728635936807400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 13728635936807400:
23 × 32 × 52 × 7 × 17 × 233 × 67 × 78623
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 17 × 23 × 23 × 23 × 67 × 78623)See below for interesting mathematical facts about the number 13728635936807400 from the Numbermatics database.
Names of 13728635936807400
- Cardinal: 13728635936807400 can be written as Thirteen quadrillion, seven hundred twenty-eight trillion, six hundred thirty-five billion, nine hundred thirty-six million, eight hundred seven thousand, four hundred.
Scientific notation
- Scientific notation: 1.37286359368074 × 1016
Factors of 13728635936807400
Divisors of 13728635936807400
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 17 18 20 21 23 24 25 28 30 34 35 36 40 42 45 46 50 51 56 60 63 67 68 69 70 72 75 84 85 90 92 100 102 105 115 119 120 126 134 136 138 140 150 153 161 168 170 175 180 184 200 201 204 207 210 225 230 238 252 255 268 276 280 300 306 315 322 335 340 345 350 357 360 391 402 408 414 420 425 450 460 469 476 483 504 510 525 529 536 552 575 595 600 603 612 630 644 670 680 690 700 714 765 782 804 805 828 840 850 900 920 938 952 966 1005 1020 1035 1050 1058 1071 1139 1150 1173 1190 1206 1224 1260 1275 1288 1340 1380 1400 1407 1428 1449 1530 1541 1564 1575 1587 1608 1610 1656 1675 1700 1725 1785 1800 1876 1932 1955 2010 2040 2070 2100 2116 2142 2278 2300 2345 2346 2380 2412 2415 2520 2550 2645 2680 2737 2760 2814 2856 2898 2975 3015 3060 3082 3128 3150 3174 3220 3350 3400 3417 3450 3519 3570 3703 3752 3825 3864 3910 4020 4025 4140 4200 4221 4232 4284 4556 4600 4623 4690 4692 4760 4761 4824 4830 5025 5100 5175 5290 5355 5474 5628 5695 5796 5865 5950 6030 6120 6164 6300 6348 6440 6700 6834 6900 7035 7038 7140 7245 7406 7650 7705 7820 7935 7973 8040 8050 8211 8280 8442 8568 8925 8993 9112 9246 9380 9384 9522 9660 9775 10050 10200 10251 10350 10580 10710 10787 10948 11109 11256 11390 11592 11725 11730 11900 12060 12075 12167 12328 12600 12696 13225 13400 13668 13685 13800 13869 14070 14076 14280 14490 14812 15075 15300 15410 15640 15870 15946 16100 16422 16884 17085 17595 17850 17986 18492 18515 18760 19044 19320 19550 20100 20502 20700 21105 21160 21420 21574 21896 22218 22780 23115 23450 23460 23800 23805 23919 24120 24150 24334 24633 26197 26450 26775 26979 27336 27370 27738 28140 28152 28475 28980 29325 29624 30150 30600 30820 31740 31892 32200 32361 32844 33327 33768 34170 35175 35190 35443 35700 35972 36225 36501 36984 37030 38088 38525 39100 39675 39865 40200 41004 41055 41400 42210 42840 43148 44436 44965 45560 46230 46900 46920 47610 47838 48300 48668 49266 51255 52394 52900 53550 53935 53958 54740 55476 55545 56280 56950 57960 58650 60300 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11703866953800 11937944292876 12053236116600 12818520949400 12976026405300 13074891368388 13264382547640 13459446996870 13660334265480 14211838443900 14420836068075 14636072427300 14922430366095 15254039929786 16151336396244 16343614210485 16580478184550 17054206132680 17075417831850 17555800430700 17945929329160 19227781424100 19612337052582 19896573821460 20189170495305 20490501398220 21317757665850 21791485613980 22432411661450 22767223775800 22881059894679 23073337708920 23875888585752 24870717276825 25613126747775 25952052810600 26149782736776 26918893993740 27239357017475 28423676887800 28841672136150 29272144854600 29844860732190 30508079859572 32302672792488 32687228420970 33160956369100 33648617492175 34150835663700 35111600861400 38135099824465 38455562848200 39224674105164 39793147642920 40378340990610 40981002796440 42635515331700 43582971227960 44864823322900 45762119789358 49030842631455 49741434553650 51226253495550 53837787987480 54478714034950 57683344272300 59689721464380 61016159719144 65374456841940 66321912738200 67297234984350 68301671327400 68643179684037 74612151830475 76270199648930 78449348210328 80756681981220 81718071052425 85271030663400 89729646645800 91524239578716 98061685262910 99482869107300 100945852476525 102452506991100 108957428069900 114405299473395 115366688544600 119379442928760 130748913683880 134594469968700 137286359368074 149224303660950 152540399297860 161513363962440 163436142104850 183048479157432 190675499122325 196123370525820 198965738214600 201891704953050 204905013982200 217914856139800 228810598946790 245154213157275 269188939937400 274572718736148 298448607321900 305080798595720 326872284209700 343215898420185 381350998244650 392246741051640 403783409906100 457621197893580 490308426314550 549145437472296 572026497366975 596897214643800 653744568419400 686431796840370 762701996489300 807566819812200 915242395787160 980616852629100 1144052994733950 1372863593680740 1525403992978600 1716079492100925 1961233705258200 2288105989467900 2745727187361480 3432158984201850 4576211978935800 6864317968403700 13728635936807400
- Sum of all divisors σ(n): 59198398260019200
- Sum of proper divisors (its aliquot sum) s(n): 45469762323211800
- 13728635936807400 is an abundant number, because the sum of its proper divisors (45469762323211800) is greater than itself. Its abundance is 31741126386404400
Bases of 13728635936807400
- Binary: 1100001100011000011111001001000100001110011001111010002
- Hexadecimal: 0x30C61F244399E8
- Base-36: 3R6E8A5WDM0
Squares and roots of 13728635936807400
- 13728635936807400 squared (137286359368074002) is 188475444685399597406104694760000
- 13728635936807400 cubed (137286359368074003) is 2587510763113732201508372933206135825909224000000
-
The
square root of 13728635936807400 is 117169261.9111659335 -
The
cube root of 13728635936807400 is 239446.8507215701
Scales and comparisons
How big is 13728635936807400?- 13,728,635,936,807,400 seconds is equal to 436,528,157 years, 17 weeks, 1 day, 14 hours, 30 minutes.
-
To count from 1 to 13,728,635,936,807,400 would take you about one billion, three hundred nine million, five hundred eighty-four thousand, four hundred seventy-one 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 13728635936807400 cubic inches would be around 19953.9 feet tall.
Recreational maths with 13728635936807400
- 13728635936807400 backwards is 00470863953682731
- 13728635936807400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13728635936807400's digits is 72
- More coming soon!
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Cite this page
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"Number 13728635936807400 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 13728635936807400 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/13728635936807400/
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The information we have on file for 13728635936807400 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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