131972282624
131,972,282,624 is an even composite number composed of six prime numbers multiplied together.
What does the number 131972282624 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
131972282624 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 131972282624:
28 × 7 × 13 × 71 × 73 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 71 × 73 × 1093)See below for interesting mathematical facts about the number 131972282624 from the Numbermatics database.
Names of 131972282624
- Cardinal: 131972282624 can be written as One hundred thirty-one billion, nine hundred seventy-two million, two hundred eighty-two thousand, six hundred twenty-four.
Scientific notation
- Scientific notation: 1.31972282624 × 1011
Factors of 131972282624
Divisors of 131972282624
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 52 56 64 71 73 91 104 112 128 142 146 182 208 224 256 284 292 364 416 448 497 511 568 584 728 832 896 923 949 994 1022 1093 1136 1168 1456 1664 1792 1846 1898 1988 2044 2186 2272 2336 2912 3328 3692 3796 3976 4088 4372 4544 4672 5183 5824 6461 6643 7384 7592 7651 7952 8176 8744 9088 9344 10366 11648 12922 13286 14209 14768 15184 15302 15904 16352 17488 18176 18688 20732 23296 25844 26572 28418 29536 30368 30604 31808 32704 34976 36281 41464 51688 53144 56836 59072 60736 61208 63616 65408 67379 69952 72562 77603 79789 82928 99463 103376 106288 113672 118144 121472 122416 127232 130816 134758 139904 145124 155206 159578 165856 198926 206752 212576 227344 236288 242944 244832 269516 279808 290248 310412 319156 331712 397852 413504 425152 454688 471653 489664 539032 543221 558523 580496 620824 638312 663424 795704 827008 850304 909376 943306 979328 1008839 1037257 1078064 1086442 1117046 1160992 1241648 1276624 1326848 1591408 1654016 1700608 1818752 1886612 1958656 2017678 2074514 2156128 2172884 2234092 2321984 2483296 2553248 3182816 3637504 3773224 4035356 4149028 4312256 4345768 4468184 4643968 4966592 5106496 5665019 6365632 7061873 7260799 7546448 8070712 8298056 8624512 8691536 8936368 9287936 9933184 10212992 11330038 12731264 14123746 14521598 15092896 16141424 16596112 17249024 17383072 17872736 19866368 20425984 22660076 25462528 28247492 29043196 30185792 32282848 33192224 34766144 35745472 39655133 45320152 56494984 58086392 60371584 64565696 66384448 69532288 71490944 73645247 79310266 90640304 112989968 116172784 120743168 129131392 132768896 139064576 142981888 147290494 158620532 181280608 225979936 232345568 258262784 265537792 294580988 317241064 362561216 451959872 464691136 515516729 589161976 634482128 725122432 903919744 929382272 1031033458 1178323952 1268964256 1450244864 1807839488 1858764544 2062066916 2356647904 2537928512 4124133832 4713295808 5075857024 8248267664 9426591616 10151714048 16496535328 18853183232 32993070656 65986141312 131972282624
- Sum of all divisors σ(n): 333595713024
- Sum of proper divisors (its aliquot sum) s(n): 201623430400
- 131972282624 is an abundant number, because the sum of its proper divisors (201623430400) is greater than itself. Its abundance is 69651147776
Bases of 131972282624
- Binary: 11110101110100010100100111001000000002
- Hexadecimal: 0x1EBA293900
- Base-36: 1OMKW0ZK
Squares and roots of 131972282624
- 131972282624 squared (1319722826242) is 17416683380988932325376
- 131972282624 cubed (1319722826243) is 2298519461528595245460530999066624
-
The
square root of 131972282624 is 363279.8957057767 -
The
cube root of 131972282624 is 5091.2869634149
Scales and comparisons
How big is 131972282624?- 131,972,282,624 seconds is equal to 4,196 years, 16 weeks, 23 hours, 23 minutes, 44 seconds.
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To count from 1 to 131,972,282,624 would take you about eight thousand, three hundred ninety-two 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 131972282624 cubic inches would be around 424.3 feet tall.
Recreational maths with 131972282624
- 131972282624 backwards is 426282279131
- The number of decimal digits it has is: 12
- The sum of 131972282624's digits is 47
- More coming soon!
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