12807003972724416
12,807,003,972,724,416 is an even composite number composed of five prime numbers multiplied together.
12807003972724416 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 12807003972724416:
26 × 32 × 73 × 13 × 4986405449
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 13 × 4986405449)See below for interesting mathematical facts about the number 12807003972724416 from the Numbermatics database.
Names of 12807003972724416
- Cardinal: 12807003972724416 can be written as Twelve quadrillion, eight hundred seven trillion, three billion, nine hundred seventy-two million, seven hundred twenty-four thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.2807003972724416 × 1016
Factors of 12807003972724416
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 4986405474
Divisors of 12807003972724416
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 49 52 56 63 64 72 78 84 91 96 98 104 112 117 126 144 147 156 168 182 192 196 208 224 234 252 273 288 294 312 336 343 364 392 416 441 448 468 504 546 576 588 624 637 672 686 728 784 819 832 882 936 1008 1029 1092 1176 1248 1274 1344 1372 1456 1568 1638 1764 1872 1911 2016 2058 2184 2352 2496 2548 2744 2912 3087 3136 3276 3528 3744 3822 4032 4116 4368 4459 4704 5096 5488 5733 5824 6174 6552 7056 7488 7644 8232 8736 8918 9408 10192 10976 11466 12348 13104 13377 14112 15288 16464 17472 17836 20384 21952 22932 24696 26208 26754 28224 30576 32928 35672 40131 40768 45864 49392 52416 53508 61152 65856 71344 80262 91728 98784 107016 122304 142688 160524 183456 197568 214032 285376 321048 366912 428064 642096 856128 1284192 2568384 4986405449 9972810898 14959216347 19945621796 29918432694 34904838143 39891243592 44877649041 59836865388 64823270837 69809676286 79782487184 89755298082 104714514429 119673730776 129646541674 139619352572 159564974368 179510596164 194469812511 209429028858 239347461552 244333867001 259293083348 279238705144 314143543287 319129948736 359021192328 388939625022 418858057716 453762895859 478694923104 488667734002 518586166696 558477410288 583409437533 628287086574 718042384656 733001601003 777879250044 837716115432 907525791718 957389846208 977335468004 1037172333392 1116954820576 1166818875066 1256574173148 1361288687577 1436084769312 1466003202006 1555758500088 1675432230864 1710337069007 1815051583436 1954670936008 2074344666784 2199004803009 2233909641152 2333637750132 2513148346296 2722577375154 2872169538624 2932006404012 3111517000176 3176340271013 3350864461728 3420674138014 3630103166872 3909341872016 4083866062731 4148689333568 4398009606018 4667275500264 5026296692592 5131011207021 5445154750308 5864012808024 6223034000352 6352680542026 6701728923456 6841348276028 7260206333744 7818683744032 8167732125462 8796019212036 9334551000528 9529020813039 10052593385184 10262022414042 10890309500616 11728025616048 12446068000704 12705361084052 13682696552056 14520412667488 15393033621063 15637367488064 16335464250924 17592038424072 18669102001056 19058041626078 20105186770368 20524044828084 21780619001232 22234381897091 23456051232096 25410722168104 27365393104112 28587062439117 29040825334976 30786067242126 32670928501848 35184076848144 37338204002112 38116083252156 41048089656168 43561238002464 44468763794182 46912102464192 50821444336208 54730786208224 57174124878234 61572134484252 65341857003696 66703145691273 70368153696288 76232166504312 82096179312336 87122476004928 88937527588364 101642888672416 109461572416448 114348249756468 123144268968504 130683714007392 133406291382546 140736307392576 152464333008624 164192358624672 177875055176728 200109437073819 203285777344832 228696499512936 246288537937008 261367428014784 266812582765092 304928666017248 328384717249344 355750110353456 400218874147638 457392999025872 492577075874016 533625165530184 609857332034496 711500220706912 800437748295276 914785998051744 985154151748032 1067250331060368 1423000441413824 1600875496590552 1829571996103488 2134500662120736 3201750993181104 4269001324241472 6403501986362208 12807003972724416
- Sum of all divisors σ(n): 46102310228520000
- Sum of proper divisors (its aliquot sum) s(n): 33295306255795584
- 12807003972724416 is an abundant number, because the sum of its proper divisors (33295306255795584) is greater than itself. Its abundance is 20488302283071168
Bases of 12807003972724416
- Binary: 1011010111111111100110111110100110111001100110110000002
- Hexadecimal: 0x2D7FE6FA6E66C0
- Base-36: 3I3PCEIBE80
Squares and roots of 12807003972724416
- 12807003972724416 squared (128070039727244162) is 164019350757378973963285482541056
- 12807003972724416 cubed (128070039727244163) is 2100596476753431969855339203875828261194893623296
-
The
square root of 12807003972724416 is 113168034.2354872575 -
The
cube root of 12807003972724416 is 233964.0774033095
Scales and comparisons
How big is 12807003972724416?- 12,807,003,972,724,416 seconds is equal to 407,223,111 years, 34 weeks, 5 days, 6 hours, 33 minutes, 36 seconds.
-
To count from 1 to 12,807,003,972,724,416 would take you about one billion, two hundred twenty-one million, six hundred sixty-nine thousand, three hundred thirty-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 12807003972724416 cubic inches would be around 19497 feet tall.
Recreational maths with 12807003972724416
- 12807003972724416 backwards is 61442727930070821
- 12807003972724416 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12807003972724416's digits is 63
- More coming soon!
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