137931264
137,931,264 is an even composite number composed of four prime numbers multiplied together.
137931264 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 137931264:
29 × 32 × 37 × 809
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 37 × 809)See below for interesting mathematical facts about the number 137931264 from the Numbermatics database.
Names of 137931264
- Cardinal: 137931264 can be written as One hundred thirty-seven million, nine hundred thirty-one thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 1.37931264 × 108
Factors of 137931264
Divisors of 137931264
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 512 576 592 666 768 809 888 1152 1184 1332 1536 1618 1776 2304 2368 2427 2664 3236 3552 4608 4736 4854 5328 6472 7104 7281 9472 9708 10656 12944 14208 14562 18944 19416 21312 25888 28416 29124 29933 38832 42624 51776 56832 58248 59866 77664 85248 89799 103552 116496 119732 155328 170496 179598 207104 232992 239464 269397 310656 359196 414208 465984 478928 538794 621312 718392 931968 957856 1077588 1242624 1436784 1863936 1915712 2155176 2873568 3727872 3831424 4310352 5747136 7662848 8620704 11494272 15325696 17241408 22988544 34482816 45977088 68965632 137931264
- Sum of all divisors σ(n): 409343220
- Sum of proper divisors (its aliquot sum) s(n): 271411956
- 137931264 is an abundant number, because the sum of its proper divisors (271411956) is greater than itself. Its abundance is 133480692
Bases of 137931264
- Binary: 10000011100010101010000000002
- Hexadecimal: 0x838AA00
- Base-36: 2A4CG0
Squares and roots of 137931264
- 137931264 squared (1379312642) is 19025033588637696
- 137931264 cubed (1379312643) is 2624146930523253447327744
-
The
square root of 137931264 is 11744.4141616345 -
The
cube root of 137931264 is 516.6791130311
Scales and comparisons
How big is 137931264?- 137,931,264 seconds is equal to 4 years, 20 weeks, 10 hours, 14 minutes, 24 seconds.
-
To count from 1 to 137,931,264 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 137931264 cubic inches would be around 43.1 feet tall.
Recreational maths with 137931264
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