12837013728
12,837,013,728 is an even composite number composed of six prime numbers multiplied together.
What does the number 12837013728 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
12837013728 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 12837013728:
25 × 3 × 74 × 11 × 61 × 83
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 7 × 11 × 61 × 83)See below for interesting mathematical facts about the number 12837013728 from the Numbermatics database.
Names of 12837013728
- Cardinal: 12837013728 can be written as Twelve billion, eight hundred thirty-seven million, thirteen thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.2837013728 × 1010
Factors of 12837013728
Divisors of 12837013728
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 61 66 77 83 84 88 96 98 112 122 132 147 154 166 168 176 183 196 224 231 244 249 264 294 308 332 336 343 352 366 392 427 462 488 498 528 539 581 588 616 664 671 672 686 732 784 854 913 924 976 996 1029 1056 1078 1162 1176 1232 1281 1328 1342 1372 1464 1568 1617 1708 1743 1826 1848 1952 1992 2013 2058 2156 2324 2352 2401 2464 2562 2656 2684 2739 2744 2928 2989 3234 3416 3486 3652 3696 3773 3984 4026 4067 4116 4312 4648 4697 4704 4802 5063 5124 5368 5478 5488 5856 5978 6391 6468 6832 6972 7203 7304 7392 7546 7968 8052 8134 8232 8624 8967 9296 9394 9604 10126 10248 10736 10956 10976 11319 11956 12201 12782 12936 13664 13944 14091 14406 14608 15092 15189 16104 16268 16464 17248 17934 18592 18788 19173 19208 20252 20496 20923 21472 21912 22638 23912 24402 25564 25872 26411 27888 28182 28469 28812 29216 30184 30378 32208 32536 32879 32928 35441 35868 37576 38346 38416 40504 40992 41846 43824 44737 45276 47824 48804 51128 51744 52822 55693 55776 56364 56938 57624 60368 60756 62769 64416 65072 65758 70882 71736 75152 76692 76832 79233 81008 83692 85407 87648 89474 90552 95648 97608 98637 102256 105644 106323 111386 112728 113876 115248 120736 121512 125538 130144 131516 134211 141764 143472 146461 150304 153384 158466 162016 167079 167384 170814 178948 181104 195216 197274 199283 204512 211288 212646 222772 225456 227752 230153 230496 243024 248087 251076 263032 268422 283528 286944 292922 306768 313159 316932 334158 334768 341628 357896 362208 389851 390432 394548 398566 422576 425292 439383 445544 450912 455504 460306 486048 496174 502152 526064 536844 567056 585844 597849 613536 626318 633864 668316 669536 683256 690459 715792 744261 779702 789096 797132 845152 850584 878766 891088 911008 920612 939477 992348 1004304 1052128 1073688 1134112 1169553 1171688 1195698 1252636 1267728 1336632 1366512 1380918 1431584 1488522 1559404 1578192 1594264 1611071 1701168 1736609 1757532 1782176 1841224 1878954 1984696 2008608 2147376 2192113 2339106 2343376 2391396 2505272 2535456 2673264 2728957 2733024 2761836 2977044 3118808 3156384 3188528 3222142 3402336 3473218 3515064 3682448 3757908 3969392 4294752 4384226 4678212 4686752 4782792 4833213 5010544 5209827 5346528 5457914 5523672 5954088 6237616 6377056 6444284 6576339 6946436 7030128 7364896 7515816 7938784 8186871 8768452 9356424 9565584 9666426 10021088 10419654 10915828 11047344 11908176 12156263 12475232 12888568 13152678 13892872 14060256 15031632 16373742 17536904 18712848 19102699 19131168 19332852 20839308 21831656 22094688 23816352 24312526 25777136 26305356 27785744 30063264 32747484 35073808 36468789 37425696 38205398 38665704 41678616 43663312 48625052 51554272 52610712 55571488 57308097 65494968 70147616 72937578 76410796 77331408 83357232 87326624 97250104 105221424 114616194 130989936 133718893 145875156 152821592 154662816 166714464 194500208 210442848 229232388 261979872 267437786 291750312 305643184 389000416 401156679 458464776 534875572 583500624 611286368 802313358 916929552 1069751144 1167001248 1604626716 1833859104 2139502288 3209253432 4279004576 6418506864 12837013728
- Sum of all divisors σ(n): 44112926592
- Sum of proper divisors (its aliquot sum) s(n): 31275912864
- 12837013728 is an abundant number, because the sum of its proper divisors (31275912864) is greater than itself. Its abundance is 18438899136
Bases of 12837013728
- Binary: 10111111010010010101001000111000002
- Hexadecimal: 0x2FD2548E0
- Base-36: 5WATR6O
Squares and roots of 12837013728
- 12837013728 squared (128370137282) is 164788921452860457984
- 12837013728 cubed (128370137283) is 2115397646912683404008975204352
-
The
square root of 12837013728 is 113300.5460181017 -
The
cube root of 12837013728 is 2341.4667872963
Scales and comparisons
How big is 12837013728?- 12,837,013,728 seconds is equal to 408 years, 9 weeks, 1 day, 13 hours, 8 minutes, 48 seconds.
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To count from 1 to 12,837,013,728 would take you about eight hundred sixteen 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 12837013728 cubic inches would be around 195.1 feet tall.
Recreational maths with 12837013728
- 12837013728 backwards is 82731073821
- 12837013728 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 12837013728's digits is 42
- More coming soon!
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