72956137309104
72,956,137,309,104 is an even composite number composed of seven prime numbers multiplied together.
What does the number 72956137309104 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 320 divisors.
72956137309104 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 72956137309104:
24 × 3 × 7 × 79 × 307 × 1093 × 8191
(2 × 2 × 2 × 2 × 3 × 7 × 79 × 307 × 1093 × 8191)See below for interesting mathematical facts about the number 72956137309104 from the Numbermatics database.
Names of 72956137309104
- Cardinal: 72956137309104 can be written as Seventy-two trillion, nine hundred fifty-six billion, one hundred thirty-seven million, three hundred nine thousand, one hundred four.
Scientific notation
- Scientific notation: 7.2956137309104 × 1013
Factors of 72956137309104
Divisors of 72956137309104
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 79 84 112 158 168 237 307 316 336 474 553 614 632 921 948 1093 1106 1228 1264 1659 1842 1896 2149 2186 2212 2456 3279 3318 3684 3792 4298 4372 4424 4912 6447 6558 6636 7368 7651 8191 8596 8744 8848 12894 13116 13272 14736 15302 16382 17192 17488 22953 24253 24573 25788 26232 26544 30604 32764 34384 45906 48506 49146 51576 52464 57337 61208 65528 72759 86347 91812 97012 98292 103152 114674 122416 131056 145518 169771 172011 172694 183624 194024 196584 229348 259041 291036 335551 339542 344022 345388 367248 388048 393168 458696 509313 518082 582072 604429 647089 671102 679084 688044 690776 917392 1006653 1018626 1036164 1164144 1208858 1294178 1342204 1358168 1376088 1381552 1813287 1941267 2013306 2037252 2072328 2348857 2417716 2514637 2588356 2684408 2716336 2752176 3626574 3882534 4026612 4074504 4144656 4529623 4697714 4835432 5029274 5176712 5368816 7046571 7253148 7543911 7765068 8053224 8149008 8952763 9059246 9395428 9670864 10058548 10353424 13588869 14093142 14506296 15087822 15530136 16106448 17602459 17905526 18118492 18790856 20117096 26508529 26858289 27177738 28186284 29012592 30175644 31060272 35204918 35811052 36236984 37581712 40234192 52807377 53017058 53716578 54355476 56372568 60351288 62669341 70409836 71622104 72473968 79525587 105614754 106034116 107433156 108710952 112745136 120702576 125338682 140819672 143244208 159051174 185559703 188008023 198656323 211229508 212068232 214866312 217421904 250677364 281639344 318102348 371119406 376016046 397312646 422459016 424136464 429732624 501354728 556679109 595968969 636204696 707268277 742238812 752032092 794625292 844918032 1002709456 1113358218 1191937938 1272409392 1390594261 1414536554 1484477624 1504064184 1589250584 2121804831 2226716436 2383875876 2748498241 2781188522 2829073108 2968955248 3008128368 3178501168 4171782783 4243609662 4453432872 4767751752 4950877939 5496996482 5562377044 5658146216 8245494723 8343565566 8487219324 8906865744 9535503504 9901755878 10993992964 11124754088 11316292432 14852633817 16490989446 16687131132 16974438648 19239487687 19803511756 21987985928 22249508176 29705267634 32981978892 33374262264 33948877296 38478975374 39607023512 43975971856 57718463061 59410535268 65963957784 66748524528 76957950748 79214047024 115436926122 118821070536 131927915568 153915901496 217131361039 230873852244 237642141072 307831802992 434262722078 461747704488 651394083117 868525444156 923495408976 1302788166234 1519919527273 1737050888312 2605576332468 3039839054546 3474101776624 4559758581819 5211152664936 6079678109092 9119517163638 10422305329872 12159356218184 18239034327276 24318712436368 36478068654552 72956137309104
- Sum of all divisors σ(n): 219058263818240
- Sum of proper divisors (its aliquot sum) s(n): 146102126509136
- 72956137309104 is an abundant number, because the sum of its proper divisors (146102126509136) is greater than itself. Its abundance is 73145989200032
Bases of 72956137309104
- Binary: 100001001011010011011001010011000000011101100002
- Hexadecimal: 0x425A6CA603B0
- Base-36: PUZL4HCXC
Squares and roots of 72956137309104
- 72956137309104 squared (729561373091042) is 5322597971064836638041282816
- 72956137309104 cubed (729561373091043) is 388316188418164580895584504944954475556864
-
The
square root of 72956137309104 is 8541436.4897892907 -
The
cube root of 72956137309104 is 41785.0196445671
Scales and comparisons
How big is 72956137309104?- 72,956,137,309,104 seconds is equal to 2,319,779 years, 25 weeks, 6 days, 8 hours, 58 minutes, 24 seconds.
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To count from 1 to 72,956,137,309,104 would take you about five million, seven hundred ninety-nine thousand, four hundred forty-eight 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 72956137309104 cubic inches would be around 3482.1 feet tall.
Recreational maths with 72956137309104
- 72956137309104 backwards is 40190373165927
- The number of decimal digits it has is: 14
- The sum of 72956137309104's digits is 57
- More coming soon!
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