135837972
135,837,972 is an even composite number composed of five prime numbers multiplied together.
135837972 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 135837972:
22 × 35 × 29 × 61 × 79
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 29 × 61 × 79)See below for interesting mathematical facts about the number 135837972 from the Numbermatics database.
Names of 135837972
- Cardinal: 135837972 can be written as One hundred thirty-five million, eight hundred thirty-seven thousand, nine hundred seventy-two.
Scientific notation
- Scientific notation: 1.35837972 × 108
Factors of 135837972
Divisors of 135837972
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 9 12 18 27 29 36 54 58 61 79 81 87 108 116 122 158 162 174 183 237 243 244 261 316 324 348 366 474 486 522 549 711 732 783 948 972 1044 1098 1422 1566 1647 1769 2133 2196 2291 2349 2844 3132 3294 3538 4266 4582 4698 4819 4941 5307 6399 6588 6873 7047 7076 8532 9164 9396 9638 9882 10614 12798 13746 14094 14457 14823 15921 19197 19276 19764 20619 21228 25596 27492 28188 28914 29646 31842 38394 41238 43371 47763 57828 59292 61857 63684 76788 82476 86742 95526 123714 130113 139751 143289 173484 185571 191052 247428 260226 279502 286578 371142 390339 419253 429867 520452 556713 559004 573156 742284 780678 838506 859734 1113426 1171017 1257759 1561356 1677012 1719468 2226852 2342034 2515518 3773277 4684068 5031036 7546554 11319831 15093108 22639662 33959493 45279324 67918986 135837972
- Sum of all divisors σ(n): 379142400
- Sum of proper divisors (its aliquot sum) s(n): 243304428
- 135837972 is an abundant number, because the sum of its proper divisors (243304428) is greater than itself. Its abundance is 107466456
Bases of 135837972
- Binary: 10000001100010111001000101002
- Hexadecimal: 0x818B914
- Base-36: 28VH90
Squares and roots of 135837972
- 135837972 squared (1358379722) is 18451954637072784
- 135837972 cubed (1358379723) is 2506476097335962994954048
-
The
square root of 135837972 is 11654.9548261673 -
The
cube root of 135837972 is 514.0520116737
Scales and comparisons
How big is 135837972?- 135,837,972 seconds is equal to 4 years, 16 weeks, 4 days, 4 hours, 46 minutes, 12 seconds.
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To count from 1 to 135,837,972 would take you about six 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 135837972 cubic inches would be around 42.8 feet tall.
Recreational maths with 135837972
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