31381146225
31,381,146,225 is an odd composite number composed of seven prime numbers multiplied together.
31381146225 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 31381146225:
33 × 52 × 11 × 13 × 19 × 71 × 241
(3 × 3 × 3 × 5 × 5 × 11 × 13 × 19 × 71 × 241)See below for interesting mathematical facts about the number 31381146225 from the Numbermatics database.
Names of 31381146225
- Cardinal: 31381146225 can be written as Thirty-one billion, three hundred eighty-one million, one hundred forty-six thousand, two hundred twenty-five.
Scientific notation
- Scientific notation: 3.1381146225 × 1010
Factors of 31381146225
Divisors of 31381146225
- Number of divisors d(n): 384
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Complete list of divisors:
1 3 5 9 11 13 15 19 25 27 33 39 45 55 57 65 71 75 95 99 117 135 143 165 171 195 209 213 225 241 247 275 285 297 325 351 355 429 475 495 513 585 627 639 675 715 723 741 781 825 855 923 975 1045 1065 1205 1235 1287 1349 1425 1485 1755 1775 1881 1917 2145 2169 2223 2343 2475 2565 2651 2717 2769 2925 3133 3135 3195 3575 3615 3705 3861 3905 4047 4275 4579 4615 5225 5325 5643 6025 6175 6435 6507 6669 6745 7029 7425 7953 8151 8307 8775 9399 9405 9585 10153 10725 10845 11115 11715 12141 12825 13255 13585 13737 13845 14839 15665 15675 15975 17111 17537 18075 18525 19305 19525 20235 21087 22895 23075 23859 24453 24921 28197 28215 30459 32175 32535 33345 33725 34463 35145 36423 39765 40755 41211 41535 44517 46995 47025 47925 50369 50765 51333 52611 54225 55575 58575 59527 60705 66275 67925 68685 69225 71577 73359 74195 78325 84591 85555 87685 91377 96525 101175 103389 105435 114475 119295 122265 123633 124605 133551 140985 141075 151107 152295 153999 157833 162675 166725 172315 175725 178581 182115 188221 192907 198825 203775 206055 207675 222443 222585 234975 251845 253825 256665 263055 274131 297635 303525 310167 325109 343425 357885 366795 370975 400653 422955 427775 438425 453321 456885 461997 473499 516945 527175 535743 564663 578721 596475 611325 618165 623025 654797 667329 667755 704925 755535 761475 769995 789165 861575 892905 910575 930501 941105 964535 975327 1030275 1112215 1112925 1259225 1283325 1315275 1359963 1370655 1488175 1550835 1607229 1625545 1693989 1736163 1789425 1833975 1964391 2001987 2003265 2114775 2266605 2284425 2309985 2367495 2446873 2584725 2678715 2823315 2893605 2925981 3090825 3273985 3336645 3338775 3576199 3777675 3849975 3945825 4226417 4464525 4652505 4705525 4822675 4876635 5081967 5208489 5561075 5893173 6005961 6799815 6853275 7340619 7754175 8036145 8127725 8469945 8680815 8777943 9821955 10009935 10016325 10728597 11333025 11549925 11837475 12234365 12679251 13393575 14116575 14468025 14629905 16369925 16683225 17679519 17880995 21132085 22021857 23262525 24383175 25409835 26042445 29465865 30029805 32185791 33999075 36703095 38037753 40180725 42349725 43404075 43889715 46490587 49109775 50049675 53642985 61171825 63396255 66065571 73149525 88397595 89404975 96557373 105660425 110109285 114113259 127049175 130212225 139471761 147329325 150149025 160928955 183515475 190188765 219448575 232452935 268214925 316981275 330327855 418415283 441987975 482786865 550546425 570566295 697358805 804644775 950943825 1162264675 1255245849 1651639275 2092076415 2413934325 2852831475 3486794025 6276229245 10460382075 31381146225
- Sum of all divisors σ(n): 72595353600
- Sum of proper divisors (its aliquot sum) s(n): 41214207375
- 31381146225 is an abundant number, because the sum of its proper divisors (41214207375) is greater than itself. Its abundance is 9833061150
Bases of 31381146225
- Binary: 111010011100111011001001010011100012
- Hexadecimal: 0x74E764A71
- Base-36: EEZIVE9
Squares and roots of 31381146225
- 31381146225 squared (313811462252) is 984776338394831750625
- 31381146225 cubed (313811462253) is 30903410274088296950635860140625
-
The
square root of 31381146225 is 177147.2444747589 -
The
cube root of 31381146225 is 3154.2027122667
Scales and comparisons
How big is 31381146225?- 31,381,146,225 seconds is equal to 997 years, 42 weeks, 5 days, 17 hours, 3 minutes, 45 seconds.
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To count from 1 to 31,381,146,225 would take you about one thousand, nine hundred ninety-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 31381146225 cubic inches would be around 262.9 feet tall.
Recreational maths with 31381146225
- 31381146225 backwards is 52264118313
- The number of decimal digits it has is: 11
- The sum of 31381146225's digits is 36
- More coming soon!
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