131427072
131,427,072 is an even composite number composed of five prime numbers multiplied together.
131427072 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 131427072:
28 × 32 × 7 × 29 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 29 × 281)See below for interesting mathematical facts about the number 131427072 from the Numbermatics database.
Names of 131427072
- Cardinal: 131427072 can be written as One hundred thirty-one million, four hundred twenty-seven thousand and seventy-two.
Scientific notation
- Scientific notation: 1.31427072 × 108
Factors of 131427072
Divisors of 131427072
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 64 72 84 87 96 112 116 126 128 144 168 174 192 203 224 232 252 256 261 281 288 336 348 384 406 448 464 504 522 562 576 609 672 696 768 812 843 896 928 1008 1044 1124 1152 1218 1344 1392 1624 1686 1792 1827 1856 1967 2016 2088 2248 2304 2436 2529 2688 2784 3248 3372 3654 3712 3934 4032 4176 4496 4872 5058 5376 5568 5901 6496 6744 7308 7424 7868 8064 8149 8352 8992 9744 10116 11136 11802 12992 13488 14616 15736 16128 16298 16704 17703 17984 19488 20232 22272 23604 24447 25984 26976 29232 31472 32596 33408 35406 35968 38976 40464 47208 48894 51968 53952 57043 58464 62944 65192 66816 70812 71936 73341 77952 80928 94416 97788 107904 114086 116928 125888 130384 141624 146682 155904 161856 171129 188832 195576 215808 228172 233856 251776 260768 283248 293364 323712 342258 377664 391152 456344 467712 503552 513387 521536 566496 586728 647424 684516 755328 782304 912688 1026774 1043072 1132992 1173456 1369032 1510656 1564608 1825376 2053548 2086144 2265984 2346912 2738064 3129216 3650752 4107096 4531968 4693824 5476128 6258432 7301504 8214192 9387648 10952256 14603008 16428384 18775296 21904512 32856768 43809024 65713536 131427072
- Sum of all divisors σ(n): 449598240
- Sum of proper divisors (its aliquot sum) s(n): 318171168
- 131427072 is an abundant number, because the sum of its proper divisors (318171168) is greater than itself. Its abundance is 186744096
Bases of 131427072
- Binary: 1111101010101101011000000002
- Hexadecimal: 0x7D56B00
- Base-36: 268XS0
Squares and roots of 131427072
- 131427072 squared (1314270722) is 17273075254493184
- 131427072 cubed (1314270723) is 2270149705133694017077248
-
The
square root of 131427072 is 11464.1646882797 -
The
cube root of 131427072 is 508.4266158171
Scales and comparisons
How big is 131427072?- 131,427,072 seconds is equal to 4 years, 9 weeks, 2 days, 3 hours, 31 minutes, 12 seconds.
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To count from 1 to 131,427,072 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 131427072 cubic inches would be around 42.4 feet tall.
Recreational maths with 131427072
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