31293971671680
31,293,971,671,680 is an even composite number composed of six prime numbers multiplied together.
31293971671680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 31293971671680:
27 × 34 × 5 × 17 × 592 × 1012
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 17 × 59 × 59 × 101 × 101)See below for interesting mathematical facts about the number 31293971671680 from the Numbermatics database.
Names of 31293971671680
- Cardinal: 31293971671680 can be written as Thirty-one trillion, two hundred ninety-three billion, nine hundred seventy-one million, six hundred seventy-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 3.129397167168 × 1013
Factors of 31293971671680
Divisors of 31293971671680
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 59 60 64 68 72 80 81 85 90 96 101 102 108 118 120 128 135 136 144 153 160 162 170 177 180 192 202 204 216 236 240 255 270 272 288 295 303 306 320 324 340 354 360 384 404 405 408 432 459 472 480 505 510 531 540 544 576 590 606 612 640 648 680 708 720 765 808 810 816 864 885 909 918 944 960 1003 1010 1020 1062 1080 1088 1152 1180 1212 1224 1296 1360 1377 1416 1440 1515 1530 1593 1616 1620 1632 1717 1728 1770 1818 1836 1888 1920 2006 2020 2040 2124 2160 2176 2295 2360 2424 2448 2592 2655 2720 2727 2754 2832 2880 3009 3030 3060 3186 3232 3240 3264 3434 3456 3481 3540 3636 3672 3776 4012 4040 4080 4248 4320 4545 4590 4720 4779 4848 4896 5015 5151 5184 5310 5440 5454 5508 5664 5760 5959 6018 6060 6120 6372 6464 6480 6528 6868 6885 6962 7080 7272 7344 7552 7965 8024 8080 8160 8181 8496 8585 8640 9027 9090 9180 9440 9558 9696 9792 10030 10201 10302 10368 10443 10620 10880 10908 11016 11328 11918 12036 12120 12240 12744 12928 12960 13635 13736 13770 13924 14160 14544 14688 15045 15453 15930 16048 16160 16320 16362 16992 17170 17280 17405 17877 18054 18180 18360 18880 19116 19392 19584 20060 20402 20604 20886 21240 21816 22032 22656 23836 23895 24072 24240 24480 25488 25755 25920 27081 27270 27472 27540 27848 28320 29088 29376 29795 30090 30603 30906 31329 31860 32096 32320 32640 32724 33984 34340 34810 35754 36108 36360 36720 37760 38232 38784 40120 40804 40905 41208 41772 42480 43632 44064 45135 46359 47672 47790 48144 48480 48960 50976 51005 51510 51840 52215 53631 54162 54540 54944 55080 55696 56640 58176 58752 59177 59590 60180 61206 61812 62658 63720 64192 64640 65448 67968 68680 69620 71508 72216 72720 73440 76464 77265 80240 81243 81608 81810 82416 83544 84960 87264 88128 89385 90270 91809 92718 93987 95344 95580 96288 96960 97920 101303 101952 102010 103020 104430 107262 108324 109080 109888 110160 111392 113280 116352 118354 119180 120360 122412 123624 125316 127440 128384 130896 135405 137360 139077 139240 143016 144432 145440 146880 152928 153015 154530 156645 160480 160893 162486 163216 163620 164832 167088 169920 173417 174528 176256 177531 178770 180540 183618 185436 187974 190688 191160 192576 193920 202606 203904 204020 206040 208860 214524 216648 218160 219776 220320 222784 231795 236708 238360 240720 244824 247248 250632 254880 261792 268155 270810 274720 275427 278154 278480 281961 286032 288864 290880 293760 295885 303909 305856 306030 309060 313290 320960 321786 324972 326432 327240 329664 334176 339840 346834 349056 351581 355062 357540 361080 367236 370872 375948 381376 382320 385152 405212 406215 408040 412080 417720 429048 433296 436320 440640 445568 459045 463590 469935 473416 476720 481440 482679 489648 494496 501264 506515 509760 520251 523584 532593 536310 541620 549440 550854 556308 556960 563922 572064 577728 581760 591770 601859 607818 611712 612060 618120 626580 641920 643572 649944 652864 654480 659328 668352 693668 695385 703162 710124 715080 722160 734472 741744 751896 762752 764640 804465 810424 812430 816080 824160 826281 835440 858096 866592 867085 872640 881280 887655 911727 918090 927180 939870 946832 953440 962880 965358 979296 988992 1002528 1013030 1019520 1040502 1047168 1054743 1065186 1072620 1083240 1098880 1101708 1112616 1113920 1127844 1144128 1155456 1183540 1203718 1215636 1224120 1236240 1253160 1287144 1299888 1305728 1308960 1336704 1377135 1387336 1390770 1406324 1409805 1420248 1430160 1444320 1468944 1483488 1503792 1519545 1529280 1560753 1597779 1608930 1620848 1624860 1632160 1648320 1652562 1670880 1716192 1733184 1734170 1745280 1757905 1775310 1805577 1823454 1836180 1854360 1879740 1893664 1906880 1925760 1930716 1958592 1977984 2005056 2026060 2081004 2109486 2130372 2145240 2166480 2203416 2225232 2227840 2255688 2288256 2367080 2407436 2413395 2431272 2448240 2472480 2506320 2574288 2599776 2601255 2617920 2662965 2735181 2754270 2774672 2781540 2812648 2819610 2840496 2860320 2888640 2937888 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1912600640 1917522774 1936508148 1950023160 1964467776 2025106560 2080024704 2130580860 2151675720 2210026248 2247484320 2272619584 2278244880 2295120768 2414658308 2420635185 2455584720 2556697032 2582010864 2600030880 2625773760 2762532810 2840774480 2868900960 2876284161 2946701664 2996645760 3018322885 3037659840 3067735680 3120037056 3195871290 3227513580 3274112960 3315039372 3408929376 3442681152 3466707840 3621987462 3645191808 3683377080 3825201280 3835045548 3873016296 3900046320 3928935552 4143799215 4261161720 4303351440 4420052496 4494968640 4545239168 4556489760 4793806935 4829316616 4841270370 4911169440 5113394064 5164021728 5200061760 5251547520 5432981193 5525065620 5681548960 5737801920 5752568322 5893403328 6036645770 6075319680 6240074112 6391742580 6455027160 6548225920 6630078744 6817858752 6885362304 7243974924 7366754160 7670091096 7746032592 7800092640 8287598430 8522323440 8606702880 8840104992 8989937280 9054968655 9112979520 9587613870 9658633232 9682540740 9822338880 10226788128 10328043456 10400123520 10865962386 11050131240 11363097920 11475603840 11505136644 11786806656 12073291540 12783485160 12910054320 13260157488 13635717504 14381420805 14487949848 14733508320 15340182192 15492065184 15600185280 16298943579 16575196860 17044646880 17213405760 17680209984 18109937310 18225959040 19175227740 19317266464 19365081480 19644677760 20453576256 20656086912 21731924772 22100262480 22726195840 23010273288 24146583080 25566970320 25820108640 26520314976 27164905965 28762841610 28975899696 29467016640 30680364384 30984130368 31200370560 32597887158 33150393720 34089293760 34426811520 35360419968 36219874620 38350455480 38634532928 38730162960 40907152512 43463849544 44200524960 46020546576 48293166160 48896830737 51133940640 51640217280 53040629952 54329811930 57525683220 57951799392 58934033280 61360728768 61968260736 65195774316 66300787440 68178587520 72439749240 76700910960 77269065856 77460325920 81494717895 86927699088 88401049920 92041093152 96586332320 97793661474 102267881280 103280434560 106081259904 108659623860 115051366440 115903598784 122721457536 130391548632 132601574880 144879498480 153401821920 154920651840 162989435790 173855398176 176802099840 184082186304 193172664640 195587322948 204535762560 217319247720 230102732880 231807197568 244484153685 260783097264 265203149760 289758996960 306803643840 309841303680 325978871580 347710796352 368164372608 386345329280 391174645896 434638495440 460205465760 488968307370 521566194528 530406299520 579517993920 613607287680 651957743160 695421592704 782349291792 869276990880 920410931520 977936614740 1043132389056 1159035987840 1303915486320 1564698583584 1738553981760 1840821863040 1955873229480 2086264778112 2607830972640 3129397167168 3477107963520 3911746458960 5215661945280 6258794334336 7823492917920 10431323890560 15646985835840 31293971671680
- Sum of all divisors σ(n): 121573503629820
- Sum of proper divisors (its aliquot sum) s(n): 90279531958140
- 31293971671680 is an abundant number, because the sum of its proper divisors (90279531958140) is greater than itself. Its abundance is 58985560286460
Bases of 31293971671680
- Binary: 1110001110110001100100001000010101010100000002
- Hexadecimal: 0x1C763210AA80
- Base-36: B3C92QW00
Squares and roots of 31293971671680
- 31293971671680 squared (312939716716802) is 979312662987910333714022400
- 31293971671680 cubed (312939716716803) is 30646582733261168809566552227984965632000
-
The
square root of 31293971671680 is 5594101.5070947721 -
The
cube root of 31293971671680 is 31512.7928794583
Scales and comparisons
How big is 31293971671680?- 31,293,971,671,680 seconds is equal to 995,051 years, 26 weeks, 4 hours, 48 minutes.
-
To count from 1 to 31,293,971,671,680 would take you about two million, four hundred eighty-seven thousand, six hundred twenty-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 31293971671680 cubic inches would be around 2626.1 feet tall.
Recreational maths with 31293971671680
- 31293971671680 backwards is 08617617939213
- The number of decimal digits it has is: 14
- The sum of 31293971671680's digits is 63
- More coming soon!
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The information we have on file for 31293971671680 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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