131327997948
131,327,997,948 is an even composite number composed of six prime numbers multiplied together.
131327997948 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 131327997948:
22 × 35 × 7 × 192 × 127 × 421
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 19 × 19 × 127 × 421)See below for interesting mathematical facts about the number 131327997948 from the Numbermatics database.
Names of 131327997948
- Cardinal: 131327997948 can be written as One hundred thirty-one billion, three hundred twenty-seven million, nine hundred ninety-seven thousand, nine hundred forty-eight.
Scientific notation
- Scientific notation: 1.31327997948 × 1011
Factors of 131327997948
Divisors of 131327997948
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 81 84 108 114 126 127 133 162 171 189 228 243 252 254 266 324 342 361 378 381 399 421 486 508 513 532 567 684 722 756 762 798 842 889 972 1026 1083 1134 1143 1197 1263 1444 1524 1539 1596 1684 1701 1778 2052 2166 2268 2286 2394 2413 2526 2527 2667 2947 3078 3249 3402 3429 3556 3591 3789 4332 4572 4617 4788 4826 5052 5054 5334 5894 6156 6498 6804 6858 7182 7239 7578 7581 7999 8001 8841 9234 9652 9747 10108 10287 10668 10773 11367 11788 12996 13716 14364 14478 15156 15162 15998 16002 16891 17682 18468 19494 20574 21546 21717 22734 22743 23997 24003 26523 28956 29241 30324 30861 31996 32004 32319 33782 34101 35364 38988 41148 43092 43434 45468 45486 45847 47994 48006 50673 53046 53467 55993 58482 61722 64638 65151 67564 68202 68229 71991 72009 79569 86868 87723 90972 91694 95988 96012 101346 102303 106092 106934 111986 116964 123444 129276 130302 136404 136458 137541 143982 144018 151981 152019 159138 160401 167979 175446 183388 195453 202692 204606 204687 213868 215973 216027 223972 238707 260604 272916 275082 287964 288036 303962 304038 318276 320802 320929 335958 350892 374269 390906 409212 409374 412623 431946 432054 455943 456057 477414 481203 503937 550164 586359 607924 608076 614061 641604 641858 647919 671916 716121 748538 781812 818748 825246 863892 864108 911886 912114 954828 962406 962787 1007874 1015873 1063867 1122807 1172718 1228122 1237869 1283716 1295838 1367829 1368171 1432242 1443609 1497076 1511811 1650492 1823772 1824228 1924812 1925574 1943757 2015748 2031746 2127734 2245614 2345436 2456244 2475738 2591676 2735658 2736342 2864484 2887218 2888361 3023622 3047619 3191601 3368421 3713607 3851148 3887514 4063492 4103487 4104513 4255468 4330827 4491228 4535433 4951476 5471316 5472684 5774436 5776722 6047244 6095238 6383202 6736842 7111111 7427214 7775028 8206974 8209026 8661654 8665083 9070866 9142857 9574803 10105263 11140821 11553444 12190476 12310461 12766404 12992481 13473684 13606299 14222222 14854428 16413948 16418052 17323308 17330166 18141732 18285714 19149606 19301587 20210526 21333333 22281642 24620922 25984962 25995249 27212598 27428571 28444444 28724409 30315789 34660332 36571428 36931383 38299212 38603174 40421052 42666666 44563284 49241844 51969924 51990498 54425196 54857142 57448818 57904761 60631578 63999999 73862766 77206348 77985747 82285713 85333332 86173227 90947367 103980996 109714284 114897636 115809522 121263156 127999998 135111109 147725532 155971494 164571426 172346454 173714283 181894734 191999997 231619044 246857139 255999996 258519681 270222218 311942988 329142852 344692908 347428566 363789468 383999994 405333327 493714278 517039362 521142849 540444436 575999991 694857132 767999988 810666654 987428556 1034078724 1042285698 1151999982 1215999981 1563428547 1621333308 1727999973 2084571396 2303999964 2431999962 3126857094 3455999946 3647999943 4690285641 4863999924 6253714188 6911999892 7295999886 9380571282 10943999829 14591999772 18761142564 21887999658 32831999487 43775999316 65663998974 131327997948
- Sum of all divisors σ(n): 419504676864
- Sum of proper divisors (its aliquot sum) s(n): 288176678916
- 131327997948 is an abundant number, because the sum of its proper divisors (288176678916) is greater than itself. Its abundance is 156848680968
Bases of 131327997948
- Binary: 11110100100111100001000110111111111002
- Hexadecimal: 0x1E93C237FC
- Base-36: 1OBXARR0
Squares and roots of 131327997948
- 131327997948 squared (1313279979482) is 17247043045029892210704
- 131327997948 cubed (1313279979483) is 2265019633626753355845996095635392
-
The
square root of 131327997948 is 362392.0500618081 -
The
cube root of 131327997948 is 5082.9882746319
Scales and comparisons
How big is 131327997948?- 131,327,997,948 seconds is equal to 4,175 years, 42 weeks, 5 days, 23 hours, 25 minutes, 48 seconds.
-
To count from 1 to 131,327,997,948 would take you about eight thousand, three hundred fifty-one 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 131327997948 cubic inches would be around 423.6 feet tall.
Recreational maths with 131327997948
- 131327997948 backwards is 849799723131
- 131327997948 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 131327997948's digits is 63
- More coming soon!
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