131484384
131,484,384 is an even composite number composed of four prime numbers multiplied together.
131484384 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 131484384:
25 × 35 × 37 × 457
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 37 × 457)See below for interesting mathematical facts about the number 131484384 from the Numbermatics database.
Names of 131484384
- Cardinal: 131484384 can be written as One hundred thirty-one million, four hundred eighty-four thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 1.31484384 × 108
Factors of 131484384
Divisors of 131484384
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 81 96 108 111 144 148 162 216 222 243 288 296 324 333 432 444 457 486 592 648 666 864 888 914 972 999 1184 1296 1332 1371 1776 1828 1944 1998 2592 2664 2742 2997 3552 3656 3888 3996 4113 5328 5484 5994 7312 7776 7992 8226 8991 10656 10968 11988 12339 14624 15984 16452 16909 17982 21936 23976 24678 31968 32904 33818 35964 37017 43872 47952 49356 50727 65808 67636 71928 74034 95904 98712 101454 111051 131616 135272 143856 148068 152181 197424 202908 222102 270544 287712 296136 304362 394848 405816 444204 456543 541088 592272 608724 811632 888408 913086 1184544 1217448 1369629 1623264 1776816 1826172 2434896 2739258 3553632 3652344 4108887 4869792 5478516 7304688 8217774 10957032 14609376 16435548 21914064 32871096 43828128 65742192 131484384
- Sum of all divisors σ(n): 399108528
- Sum of proper divisors (its aliquot sum) s(n): 267624144
- 131484384 is an abundant number, because the sum of its proper divisors (267624144) is greater than itself. Its abundance is 136139760
Bases of 131484384
- Binary: 1111101011001001010111000002
- Hexadecimal: 0x7D64AE0
- Base-36: 26A600
Squares and roots of 131484384
- 131484384 squared (1314843842) is 17288143235859456
- 131484384 cubed (1314843843) is 2273120863870747282735104
-
The
square root of 131484384 is 11466.6640310075 -
The
cube root of 131484384 is 508.5005090449
Scales and comparisons
How big is 131484384?- 131,484,384 seconds is equal to 4 years, 9 weeks, 2 days, 19 hours, 26 minutes, 24 seconds.
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To count from 1 to 131,484,384 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 131484384 cubic inches would be around 42.4 feet tall.
Recreational maths with 131484384
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