131993128288
131,993,128,288 is an even composite number composed of six prime numbers multiplied together.
131993128288 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 131993128288:
25 × 73 × 17 × 19 × 31 × 1201
(2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 17 × 19 × 31 × 1201)See below for interesting mathematical facts about the number 131993128288 from the Numbermatics database.
Names of 131993128288
- Cardinal: 131993128288 can be written as One hundred thirty-one billion, nine hundred ninety-three million, one hundred twenty-eight thousand, two hundred eighty-eight.
Scientific notation
- Scientific notation: 1.31993128288 × 1011
Factors of 131993128288
Divisors of 131993128288
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 7 8 14 16 17 19 28 31 32 34 38 49 56 62 68 76 98 112 119 124 133 136 152 196 217 224 238 248 266 272 304 323 343 392 434 476 496 527 532 544 589 608 646 686 784 833 868 931 952 992 1054 1064 1178 1201 1292 1372 1519 1568 1666 1736 1862 1904 2108 2128 2261 2356 2402 2584 2744 3038 3332 3472 3689 3724 3808 4123 4216 4256 4522 4712 4804 5168 5488 5831 6076 6517 6664 6944 7378 7448 8246 8407 8432 9044 9424 9608 10013 10336 10633 10976 11662 12152 13034 13328 14756 14896 15827 16492 16814 16864 18088 18848 19216 20026 20417 21266 22819 23324 24304 25823 26068 26656 28861 29512 29792 31654 32984 33628 36176 37231 38432 40052 40834 42532 45638 46648 48608 51646 52136 57722 58849 59024 63308 65968 67256 70091 72352 74462 80104 81668 85064 91276 93296 103292 104272 110789 115444 117698 118048 126616 131936 134512 140182 142919 148924 159733 160208 163336 170128 180761 182552 186592 202027 206584 208544 221578 230888 235396 253232 260617 269024 280364 285838 297848 319466 320416 326672 340256 361522 365104 387923 404054 411943 413168 443156 461776 470792 490637 506464 521234 560728 571676 595696 632927 638932 653344 707389 723044 730208 775846 808108 823886 826336 886312 923552 941584 981274 1000433 1042468 1118131 1121456 1143352 1191392 1265854 1277864 1414778 1446088 1551692 1616216 1647772 1772624 1824319 1883168 1962548 2000866 2084936 2236262 2242912 2286704 2531708 2555728 2715461 2829556 2892176 3103384 3232432 3295544 3434459 3545248 3648638 3925096 4001732 4169872 4430489 4472524 4573408 4951723 5063416 5111456 5430922 5659112 5784352 6206768 6464864 6591088 6868918 7003031 7297276 7826917 7850192 8003464 8339744 8860978 8945048 9903446 10126832 10861844 11318224 12025613 12413536 12770233 13182176 13737836 14006062 14594552 15653834 15700384 16006928 17721956 17890096 19008227 19806892 20253664 21723688 22636448 24051226 25540466 27475672 28012124 29189104 31013423 31307668 32013856 34662061 35443912 35780192 38016454 39613784 43447376 48102452 51080932 54951344 56024248 58378208 62026846 62615336 69324122 70887824 76032908 79227568 84179291 86894752 96204904 102161864 109902688 112048496 124053692 125230672 133057589 138648244 141775648 152065816 158455136 168358582 192409808 204323728 217093961 224096992 242634427 248107384 250461344 266115178 277296488 304131632 336717164 384819616 408647456 434187922 485268854 496214768 532230356 554592976 589255037 608263264 673434328 868375844 970537708 992429536 1064460712 1109185952 1178510074 1346868656 1736751688 1941075416 2128921424 2357020148 2693737312 3473503376 3882150832 4124785259 4257842848 4714040296 6947006752 7764301664 8249570518 9428080592 16499141036 18856161184 32998282072 65996564144 131993128288
- Sum of all divisors σ(n): 348945408000
- Sum of proper divisors (its aliquot sum) s(n): 216952279712
- 131993128288 is an abundant number, because the sum of its proper divisors (216952279712) is greater than itself. Its abundance is 84959151424
Bases of 131993128288
- Binary: 11110101110110110011101001101011000002
- Hexadecimal: 0x1EBB674D60
- Base-36: 1OMXATLS
Squares and roots of 131993128288
- 131993128288 squared (1319931282882) is 17422185915252425810944
- 131993128288 cubed (1319931282883) is 2299608820569300135967133826383872
-
The
square root of 131993128288 is 363308.5854862227 -
The
cube root of 131993128288 is 5091.5550138161
Scales and comparisons
How big is 131993128288?- 131,993,128,288 seconds is equal to 4,196 years, 50 weeks, 4 days, 5 hours, 51 minutes, 28 seconds.
-
To count from 1 to 131,993,128,288 would take you about eight thousand, three hundred ninety-three 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 131993128288 cubic inches would be around 424.3 feet tall.
Recreational maths with 131993128288
- 131993128288 backwards is 882821399131
- The number of decimal digits it has is: 12
- The sum of 131993128288's digits is 55
- More coming soon!
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