1313712972
1,313,712,972 is an even composite number composed of six prime numbers multiplied together.
What does the number 1313712972 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 384 divisors.
1313712972 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 1313712972:
22 × 33 × 113 × 13 × 19 × 37
(2 × 2 × 3 × 3 × 3 × 11 × 11 × 11 × 13 × 19 × 37)See below for interesting mathematical facts about the number 1313712972 from the Numbermatics database.
Names of 1313712972
- Cardinal: 1313712972 can be written as One billion, three hundred thirteen million, seven hundred twelve thousand, nine hundred seventy-two.
Scientific notation
- Scientific notation: 1.313712972 × 109
Factors of 1313712972
Divisors of 1313712972
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 9 11 12 13 18 19 22 26 27 33 36 37 38 39 44 52 54 57 66 74 76 78 99 108 111 114 117 121 132 143 148 156 171 198 209 222 228 234 242 247 286 297 333 342 351 363 396 407 418 429 444 468 481 484 494 513 572 594 627 666 684 702 703 726 741 814 836 858 962 988 999 1026 1089 1188 1221 1254 1287 1331 1332 1404 1406 1443 1452 1482 1573 1628 1716 1881 1924 1998 2052 2109 2178 2223 2299 2442 2508 2574 2662 2717 2812 2886 2964 3146 3267 3663 3762 3861 3993 3996 4218 4329 4356 4446 4477 4598 4719 4884 5148 5291 5324 5434 5643 5772 6292 6327 6534 6669 6897 7326 7524 7722 7733 7986 8151 8436 8658 8892 8954 9139 9196 9438 10582 10868 10989 11286 11979 12654 12987 13068 13338 13431 13794 14157 14652 15444 15466 15873 15972 16302 17303 17316 17908 18278 18876 18981 20691 21164 21978 22572 23199 23958 24453 25289 25308 25974 26676 26862 27417 27588 28314 29887 30932 31746 32604 34606 35937 36556 37962 40293 41382 42471 43956 46398 47619 47916 48906 49247 50578 51909 51948 53724 54834 56628 58201 59774 62073 63492 69212 69597 71874 73359 75867 75924 80586 82251 82764 84942 85063 89661 92796 95238 97812 98494 100529 101156 103818 109668 116402 119548 120879 124146 139194 142857 143748 146718 147741 151734 155727 161172 164502 169884 170126 174603 179322 190476 196988 201058 207636 208791 227601 232804 241758 246753 248292 255189 268983 278388 285714 293436 295482 301587 303468 311454 328757 329004 340252 349206 358644 402116 417582 443223 455202 467181 483516 493506 510378 523809 537966 571428 590964 603174 622908 640211 657514 682803 698412 765567 806949 835164 886446 904761 910404 934362 935693 986271 987012 1020756 1047618 1075932 1105819 1206348 1280422 1315028 1329669 1365606 1531134 1571427 1613898 1772892 1809522 1868724 1871386 1920633 1972542 2095236 2211638 2296701 2560844 2659338 2714283 2731212 2807079 2958813 3062268 3142854 3227796 3317457 3619044 3742772 3841266 3945084 4423276 4593402 5318676 5428566 5614158 5761899 5917626 6285708 6634914 7682532 8421237 8876439 9186804 9952371 10857132 11228316 11523798 11835252 12164009 13269828 16842474 17285697 17752878 19904742 23047596 24328018 25263711 29857113 33684948 34571394 35505756 36492027 39809484 48656036 50527422 59714226 69142788 72984054 101054844 109476081 119428452 145968108 218952162 328428243 437904324 656856486 1313712972
- Sum of all divisors σ(n): 4361548800
- Sum of proper divisors (its aliquot sum) s(n): 3047835828
- 1313712972 is an abundant number, because the sum of its proper divisors (3047835828) is greater than itself. Its abundance is 1734122856
Bases of 1313712972
- Binary: 10011100100110110101011010011002
- Hexadecimal: 0x4E4DAB4C
- Base-36: LQ5FF0
Squares and roots of 1313712972
- 1313712972 squared (13137129722) is 1725841772801072784
- 1313712972 cubed (13137129723) is 2267260724548246091856954048
-
The
square root of 1313712972 is 36245.1786035053 -
The
cube root of 1313712972 is 1095.2169658267
Scales and comparisons
How big is 1313712972?- 1,313,712,972 seconds is equal to 41 years, 40 weeks, 1 day, 16 minutes, 12 seconds.
-
To count from 1 to 1,313,712,972 would take you about eighty-three 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 1313712972 cubic inches would be around 91.3 feet tall.
Recreational maths with 1313712972
- 1313712972 backwards is 2792173131
- 1313712972 is a
Harshad number . - The number of decimal digits it has is: 10
- The sum of 1313712972's digits is 36
- More coming soon!
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