137906496
137,906,496 is an even composite number composed of five prime numbers multiplied together.
137906496 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 137906496:
26 × 33 × 7 × 13 × 877
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 877)See below for interesting mathematical facts about the number 137906496 from the Numbermatics database.
Names of 137906496
- Cardinal: 137906496 can be written as One hundred thirty-seven million, nine hundred six thousand, four hundred ninety-six.
Scientific notation
- Scientific notation: 1.37906496 × 108
Factors of 137906496
Divisors of 137906496
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 72 78 84 91 96 104 108 112 117 126 144 156 168 182 189 192 208 216 224 234 252 273 288 312 336 351 364 378 416 432 448 468 504 546 576 624 672 702 728 756 819 832 864 877 936 1008 1092 1248 1344 1404 1456 1512 1638 1728 1754 1872 2016 2184 2457 2496 2631 2808 2912 3024 3276 3508 3744 4032 4368 4914 5262 5616 5824 6048 6139 6552 7016 7488 7893 8736 9828 10524 11232 11401 12096 12278 13104 14032 15786 17472 18417 19656 21048 22464 22802 23679 24556 26208 28064 31572 34203 36834 39312 42096 45604 47358 49112 52416 55251 56128 63144 68406 73668 78624 79807 84192 91208 94716 98224 102609 110502 126288 136812 147336 157248 159614 165753 168384 182416 189432 196448 205218 221004 239421 252576 273624 294672 307827 319228 331506 364832 378864 392896 410436 442008 478842 505152 547248 589344 615654 638456 663012 718263 729664 757728 820872 884016 957684 1094496 1178688 1231308 1276912 1326024 1436526 1515456 1641744 1768032 1915368 2154789 2188992 2462616 2553824 2652048 2873052 3283488 3536064 3830736 4309578 4925232 5107648 5304096 5746104 6566976 7661472 8619156 9850464 10608192 11492208 15322944 17238312 19700928 22984416 34476624 45968832 68953248 137906496
- Sum of all divisors σ(n): 499546880
- Sum of proper divisors (its aliquot sum) s(n): 361640384
- 137906496 is an abundant number, because the sum of its proper divisors (361640384) is greater than itself. Its abundance is 223733888
Bases of 137906496
- Binary: 10000011100001001001010000002
- Hexadecimal: 0x8384940
- Base-36: 2A3TC0
Squares and roots of 137906496
- 137906496 squared (1379064962) is 19018201638998016
- 137906496 cubed (1379064963) is 2622733548255673337511936
-
The
square root of 137906496 is 11743.3596555671 -
The
cube root of 137906496 is 516.6481848863
Scales and comparisons
How big is 137906496?- 137,906,496 seconds is equal to 4 years, 20 weeks, 3 hours, 21 minutes, 36 seconds.
-
To count from 1 to 137,906,496 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 137906496 cubic inches would be around 43.1 feet tall.
Recreational maths with 137906496
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