131957686414880040
131,957,686,414,880,040 is an even composite number composed of eight prime numbers multiplied together.
131957686414880040 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 131957686414880040:
23 × 3 × 5 × 11 × 13 × 17 × 37 × 1105692
(2 × 2 × 2 × 3 × 5 × 11 × 13 × 17 × 37 × 110569 × 110569)See below for interesting mathematical facts about the number 131957686414880040 from the Numbermatics database.
Names of 131957686414880040
- Cardinal: 131957686414880040 can be written as One hundred thirty-one quadrillion, nine hundred fifty-seven trillion, six hundred eighty-six billion, four hundred fourteen million, eight hundred eighty thousand and forty.
Scientific notation
- Scientific notation: 1.3195768641488004 × 1017
Factors of 131957686414880040
Divisors of 131957686414880040
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 17 20 22 24 26 30 33 34 37 39 40 44 51 52 55 60 65 66 68 74 78 85 88 102 104 110 111 120 130 132 136 143 148 156 165 170 185 187 195 204 220 221 222 255 260 264 286 296 312 330 340 370 374 390 407 408 429 440 442 444 481 510 520 555 561 572 629 660 663 680 715 740 748 780 814 858 884 888 935 962 1020 1105 1110 1122 1144 1221 1258 1320 1326 1430 1443 1480 1496 1560 1628 1716 1768 1870 1887 1924 2035 2040 2145 2210 2220 2244 2405 2431 2442 2516 2652 2805 2860 2886 3145 3256 3315 3432 3740 3774 3848 4070 4290 4420 4440 4488 4810 4862 4884 5032 5291 5304 5610 5720 5772 6105 6290 6630 6919 7215 7293 7480 7548 8140 8177 8580 8840 9435 9620 9724 9768 10582 11220 11544 12155 12210 12580 13260 13838 14430 14586 15096 15873 16280 16354 17160 18870 19240 19448 20757 21164 22440 24310 24420 24531 25160 26455 26520 27676 28860 29172 31746 32708 34595 36465 37740 40885 41514 42328 48620 48840 49062 52910 55352 57720 58344 63492 65416 69190 72930 75480 79365 81770 83028 89947 97240 98124 103785 105820 110569 122655 126984 138380 145860 158730 163540 166056 179894 196248 207570 211640 221138 245310 269841 276760 291720 317460 327080 331707 359788 415140 442276 449735 490620 539682 552845 634920 663414 719576 830280 884552 899470 981240 1079364 1105690 1216259 1326828 1349205 1437397 1658535 1798940 1879673 2158728 2211380 2432518 2653656 2698410 2874794 3317070 3597880 3648777 3759346 4091053 4312191 4422760 4865036 5396820 5639019 5749588 6081295 6634140 7186985 7297554 7518692 8182106 8624382 9398365 9730072 10793640 11278038 11499176 12162590 12273159 13268280 14373970 14595108 15037384 15811367 16364212 17248764 18243885 18796730 20455265 20676403 21560955 22556076 24325180 24435749 24546318 28195095 28747940 29190216 31622734 32728424 34497528 36487770 37593460 40910530 41352806 43121910 45001583 45112152 47434101 48650360 48871498 49092636 53183689 56390190 57495880 61365795 62029209 63245468 69547901 72975540 73307247 75186920 79056835 81821060 82705612 86243820 90003166 94868202 97742996 98185272 103382015 106367378 112780380 122178745 122731590 124058418 126490936 135004749 139095802 145951080 146614494 158113670 159551067 163642120 165411224 172487640 180006332 189736404 195485992 206764030 208643703 212734756 225007915 225560760 237170505 244357490 245463180 248116836 265918445 268793239 270009498 278191604 293228988 310146045 316227340 319102134 347739505 360012664 366536235 379472808 413528060 417287406 425469512 450015830 474341010 488714980 490926360 496233672 531836890 537586478 540018996 556383208 585020579 586457976 620292090 632454680 638204268 675023745 695479010 733072470 765026911 797755335 806379717 827056120 834574812 900031660 904122713 948682020 977429960 1043218515 1063673780 1075172956 1080037992 1170041158 1240584180 1276408536 1343966195 1350047490 1390958020 1466144940 1530053822 1595510670 1612759434 1669149624 1755061737 1800063320 1808245426 1897364040 2086437030 2127347560 2150345912 2295080733 2340082316 2481168360 2687932390 2700094980 2712368139 2781916040 2925102895 2932289880 3060107644 3191021340 3225518868 3510123474 3616490852 3825134555 4031898585 4172874060 4520613565 4590161466 4680164632 5375864780 5400189960 5424736278 5850205790 6120215288 6382042680 6451037736 7020246948 7232981704 7650269110 8063797170 8345748120 8775308685 9041227130 9180322932 9945349843 10751729560 10849472556 11475403665 11700411580 12225503761 13561840695 14040493896 15300538220 16127594340 17550617370 18082454260 18360645864 19890699686 21698945112 22950807330 23400823160 24451007522 27123681390 29836049529 30601076440 32255188680 35101234740 36164908520 36676511283 39781399372 45901614660 48902015044 49726749215 54247362780 59672099058 61127518805 70202469480 73353022566 79562798744 91803229320 97804030088 99453498430 108494725560 119344198116 122255037610 134480541371 146706045132 149180247645 158931548893 183382556415 198906996860 207833563937 238688396232 244510075220 268961082742 293412090264 298360495290 317863097786 366765112830 397813993720 403441624113 415667127874 452343639157 476794646679 489020150440 537922165484 596720990580 623500691811 635726195572 672402706855 733530225660 794657744465 806883248226 831334255748 904687278314 953589293358 1039167819685 1075844330968 1193441981160 1247001383622 1271452391144 1344805413710 1357030917471 1467060451320 1589315488930 1613766496452 1662668511496 1748247037823 1809374556628 1907178586716 2017208120565 2078335639370 2261718195785 2286169203307 2383973233395 2494002767244 2689610827420 2701836331181 2714061834942 3117503459055 3178630977860 3227532992904 3496494075646 3618749113256 3814357173432 4034416241130 4156671278740 4523436391570 4572338406614 4767946466790 4975780030727 4988005534488 5244741113469 5379221654840 5403672662362 5428123669884 5880467309041 6235006918110 6357261955720 6785154587355 6858507609921 6992988151292 7689841865669 8068832482260 8105508993543 8313342557480 8741235189115 9046872783140 9144676813228 9535892933580 9951560061454 10489482226938 10807345324724 10856247339768 11430846016535 11760934618082 12470013836220 13509181655905 13570309174710 13717015219842 13985976302584 14927340092181 15379683731338 16137664964520 16211017987086 17482470378230 17641401927123 18093745566280 18289353626456 19071785867160 19903120122908 20978964453876 21614690649448 22861692033070 23069525597007 23521869236164 24878900153635 24940027672440 26223705567345 27018363311810 27140618349420 27434030439684 29402336545205 29720199642991 29854680184362 30759367462676 32422035974172 34292538049605 34964940756460 35282803854246 38449209328345 39806240245816 40527544967715 41957928907752 45723384066140 46139051194014 47043738472328 49757800307270 52447411134690 54036726623620 54281236698840 54868060879368 58804673090410 59440399285982 59709360368724 61518734925352 64685140399451 64844071948344 68585076099210 69929881512920 70565607708492 74636700460905 76898418656690 81055089935430 84588260522359 88207009635615 89160598928973 91446768132280 92278102388028 99515600614540 99967944253697 104894822269380 108073453247240 115347627985035 117609346180820 118880798571964 119418720737448 129370280798902 137170152198420 141131215416984 148600998214955 149273400921810 153796837313380 162110179870860 169176521044718 176414019271230 178321197857946 184556204776056 194055421198353 199031201229080 199935888507394 209789644538760 230695255970070 235218692361640 237761597143928 253764781567077 258740561597804 274340304396840 297201996429910 298546801843620 299903832761091 307593674626760 323425701997255 324220359741720 338353042089436 352828038542460 356642395715892 388110842396706 399871777014788 422941302611795 445802994644865 461390511940140 499839721268485 507529563134154 517481123195608 594403992859820 597093603687240 599807665522182 646851403994510 676706084178872 705656077084920 713284791431784 776221684793412 799743554029576 845882605223590 891605989289730 922781023880280 970277105991765 999679442536970 1015059126268308 1099647386790667 1188807985719640 1199615331044364 1268823907835385 1293702807989020 1499519163805455 1552443369586824 1691765210447180 1783211978579460 1940554211983530 1999358885073940 2030118252536616 2199294773581334 2399230662088728 2537647815670770 2587405615978040 2999038327610910 3298942160372001 3383530420894360 3566423957158920 3881108423967060 3998717770147880 4398589547162668 5075295631341540 5498236933953335 5998076655221820 6597884320744002 7762216847934120 8797179094325336 10150591262683080 10996473867906670 11996153310443640 13195768641488004 16494710801860005 21992947735813340 26391537282976008 32989421603720010 43985895471626680 65978843207440020 131957686414880040
- Sum of all divisors σ(n): 505753125841393920
- Sum of proper divisors (its aliquot sum) s(n): 373795439426513880
- 131957686414880040 is an abundant number, because the sum of its proper divisors (373795439426513880) is greater than itself. Its abundance is 241837753011633840
Bases of 131957686414880040
- Binary: 1110101001100111011010001000100000010010000101101001010002
- Hexadecimal: 0x1D4CED110242D28
- Base-36: 103B3G9GX5BC
Squares and roots of 131957686414880040
- 131957686414880040 squared (1319576864148800402) is 17412831003967816264100327590401600
- 131957686414880040 cubed (1319576864148800403) is 2297756893216885876123251871033945421416519424064000
-
The
square root of 131957686414880040 is 363259805.6692758293 -
The
cube root of 131957686414880040 is 509109.9256755119
Scales and comparisons
How big is 131957686414880040?- 131,957,686,414,880,040 seconds is equal to 4,195,846,256 years, 3 weeks, 4 days, 6 hours, 14 minutes.
-
To count from 1 to 131,957,686,414,880,040 would take you about twelve billion, five hundred eighty-seven million, five hundred thirty-eight thousand, seven hundred sixty-eight 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 131957686414880040 cubic inches would be around 42425.8 feet tall.
Recreational maths with 131957686414880040
- 131957686414880040 backwards is 040088414686759131
- The number of decimal digits it has is: 18
- The sum of 131957686414880040's digits is 75
- More coming soon!
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The information we have on file for 131957686414880040 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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