135450315
135,450,315 is an odd composite number composed of seven prime numbers multiplied together.
135450315 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 135450315:
32 × 5 × 7 × 11 × 13 × 31 × 97
(3 × 3 × 5 × 7 × 11 × 13 × 31 × 97)See below for interesting mathematical facts about the number 135450315 from the Numbermatics database.
Names of 135450315
- Cardinal: 135450315 can be written as One hundred thirty-five million, four hundred fifty thousand, three hundred fifteen.
Scientific notation
- Scientific notation: 1.35450315 × 108
Factors of 135450315
Divisors of 135450315
- Number of divisors d(n): 192
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Complete list of divisors:
1 3 5 7 9 11 13 15 21 31 33 35 39 45 55 63 65 77 91 93 97 99 105 117 143 155 165 195 217 231 273 279 291 315 341 385 403 429 455 465 485 495 585 651 679 693 715 819 873 1001 1023 1067 1085 1155 1209 1261 1287 1365 1395 1455 1705 1953 2015 2037 2145 2387 2821 3003 3007 3069 3201 3255 3395 3465 3627 3783 4095 4365 4433 5005 5115 5335 6045 6111 6305 6435 7161 7469 8463 8827 9009 9021 9603 9765 10185 11349 11935 13299 13871 14105 15015 15035 15345 16005 18135 18915 21049 21483 22165 22407 25389 26481 27063 30555 31031 33077 35805 37345 39091 39897 41613 42315 44135 45045 45105 48015 56745 63147 66495 67221 69355 79443 93093 97097 99231 105245 107415 112035 117273 124839 126945 132405 135315 155155 165385 189441 195455 199485 208065 231539 273637 279279 291291 297693 315735 336105 351819 397215 430001 465465 485485 496155 586365 624195 694617 820911 873873 947205 1157695 1290003 1368185 1396395 1456455 1488465 1759095 2083851 2150005 2462733 3010007 3473085 3870009 4104555 4369365 6450015 9030021 10419255 12313665 15050035 19350045 27090063 45150105 135450315
- Sum of all divisors σ(n): 328753152
- Sum of proper divisors (its aliquot sum) s(n): 193302837
- 135450315 is an abundant number, because the sum of its proper divisors (193302837) is greater than itself. Its abundance is 57852522
Bases of 135450315
- Binary: 10000001001011001110110010112
- Hexadecimal: 0x812CECB
- Base-36: 28N64R
Squares and roots of 135450315
- 135450315 squared (1354503152) is 18346787833599225
- 135450315 cubed (1354503153) is 2485078191299182610005875
-
The
square root of 135450315 is 11638.3123776603 -
The
cube root of 135450315 is 513.5625419409
Scales and comparisons
How big is 135450315?- 135,450,315 seconds is equal to 4 years, 15 weeks, 6 days, 17 hours, 5 minutes, 15 seconds.
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To count from 1 to 135,450,315 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 135450315 cubic inches would be around 42.8 feet tall.
Recreational maths with 135450315
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