137931485095040
137,931,485,095,040 is an even composite number composed of eight prime numbers multiplied together.
137931485095040 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 137931485095040:
27 × 5 × 7 × 13 × 79 × 89 × 181 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 79 × 89 × 181 × 1861)See below for interesting mathematical facts about the number 137931485095040 from the Numbermatics database.
Names of 137931485095040
- Cardinal: 137931485095040 can be written as One hundred thirty-seven trillion, nine hundred thirty-one billion, four hundred eighty-five million, ninety-five thousand and forty.
Scientific notation
- Scientific notation: 1.3793148509504 × 1014
Factors of 137931485095040
Divisors of 137931485095040
- Number of divisors d(n): 1024
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 79 80 89 91 104 112 128 130 140 158 160 178 181 182 208 224 260 280 316 320 356 362 364 395 416 445 448 455 520 553 560 623 632 640 712 724 728 790 832 890 896 905 910 1027 1040 1106 1120 1157 1246 1264 1267 1424 1448 1456 1580 1664 1780 1810 1820 1861 2054 2080 2212 2240 2314 2353 2492 2528 2534 2765 2848 2896 2912 3115 3160 3560 3620 3640 3722 4108 4160 4424 4480 4628 4706 4984 5056 5068 5135 5530 5696 5785 5792 5824 6230 6320 6335 7031 7120 7189 7240 7280 7444 8099 8216 8320 8848 9256 9305 9412 9968 10112 10136 10270 11060 11392 11570 11584 11648 11765 12460 12640 12670 13027 14062 14240 14299 14378 14480 14560 14888 16109 16198 16432 16471 17696 18512 18610 18824 19936 20272 20540 22120 23140 23168 23530 24193 24920 25280 25340 26054 28124 28480 28598 28756 28960 29120 29776 32218 32396 32864 32942 35155 35392 35945 37024 37220 37648 39872 40495 40544 41080 44240 46280 47060 48386 49217 49840 50560 50680 52108 56248 56960 57196 57512 57920 58240 59552 64436 64792 65135 65728 65884 70310 70784 71495 71890 74048 74440 75296 79744 80545 80990 81088 82160 82355 88480 91403 92560 94120 96772 98434 99680 100093 101360 104216 112496 112763 114392 115024 115840 119104 120965 128872 129584 130270 131456 131768 140620 142990 143780 147019 148096 148880 150592 161090 161980 162176 164320 164710 165629 169351 176960 182806 185120 185887 188240 193544 196868 199360 200186 202720 208432 209417 224992 225526 228784 230048 238208 241930 246085 257744 259168 260540 263536 281240 285980 287560 294038 297760 301184 322180 323960 328640 329420 331258 336841 338702 353920 365612 370240 371774 376480 387088 393736 398720 400372 405440 416864 418834 449984 451052 457015 457568 460096 483860 492170 500465 515488 518336 521080 527072 562480 563815 571960 575120 588076 595520 639821 644360 647920 657280 658840 662516 673682 677404 731224 735095 740480 743548 752960 774176 787472 800744 810880 828145 833728 837668 846755 899968 902104 914030 915136 920192 929435 967720 984340 1000930 1029133 1030976 1036672 1042160 1047085 1054144 1124960 1127630 1143920 1150240 1159403 1176152 1191040 1272611 1279642 1288720 1295840 1301209 1317680 1325032 1347364 1354808 1462448 1465919 1470190 1487096 1505920 1548352 1574944 1601488 1656290 1667456 1675336 1684205 1693510 1804208 1828060 1830272 1858870 1911247 1935440 1968680 2001860 2058266 2061952 2084320 2094170 2108288 2153177 2249920 2255260 2287840 2300480 2318806 2352304 2357887 2545222 2559284 2577440 2591680 2602418 2635360 2650064 2694728 2709616 2924896 2931838 2940380 2974192 3096704 3149888 3199105 3202976 3312580 3350672 3368410 3387020 3608416 3656120 3717740 3822494 3870880 3937360 4003720 4116532 4168640 4188340 4306354 4378933 4499840 4510520 4575680 4600960 4637612 4704608 4715774 5090444 5118568 5145665 5154880 5183360 5204836 5270720 5300128 5389456 5419232 5797015 5849792 5863676 5880760 5948384 6299776 6363055 6398210 6405952 6506045 6625160 6701344 6736820 6774040 7216832 7312240 7329595 7435480 7644988 7741760 7874720 8007440 8233064 8337280 8376680 8612708 8757866 8908277 9021040 9151360 9275224 9409216 9431548 9556235 10180888 10237136 10291330 10309760 10409672 10541440 10600256 10765885 10778912 10838464 11594030 11699584 11727352 11761520 11789435 11896768 12726110 12796420 12811904 13012090 13084691 13250320 13378729 13402688 13473640 13548080 14433664 14624480 14659190 14870960 15072239 15289976 15483520 15749440 16014880 16466128 16543943 16753360 17225416 17515732 17816554 18042080 18550448 18818432 18863096 19112470 20361776 20474272 20582660 20819344 21200512 21531770 21557824 21676928 21894665 23188060 23454704 23523040 23578870 23793536 25452220 25592840 26024180 26169382 26500640 26610439 26757458 26805376 26947280 27096160 29248960 29318380 29741920 29978849 30144478 30579952 30652531 31498880 32029760 32932256 33087886 33506720 34450832 35031464 35633108 36084160 37100896 37726192 38224940 40723552 40948544 41165320 41638688 43063540 43115648 43789330 44541385 46376120 46909408 47046080 47157740 50904440 51185680 52048360 52338764 53001280 53220878 53514916 53894560 54192320 58497920 58636760 59483840 59957698 60288956 61159904 61305062 64059520 65423455 65864512 66175772 66893645 67013440 68901664 70062928 71266216 72168320 74201792 75361195 75452384 76449880 81447104 81897088 82330640 82719715 83277376 86127080 87578660 89082770 91592837 92752240 93818816 94092160 94315480 101808880 102371360 104096720 104677528 106002560 106441756 107029832 107789120 108384640 115807601 117273520 118967680 119915396 120577912 122319808 122610124 130846910 131729024 132351544 133052195 133787290 134026880 137803328 140125856 142532432 148403584 149894245 150722390 150904768 152899760 153262655 162894208 164661280 165439430 166554752 170100983 172254160 175157320 178165540 183185674 185504480 186273073 187637632 188630960 203617760 204742720 208193440 209355056 209851943 212883512 214059664 215578240 231615202 234547040 239830792 241155824 244639616 245220248 261693820 264703088 266104390 267574580 275606656 280251712 285064864 299788490 301444780 301809536 305799520 306525310 329322560 330878860 340201966 344508320 345935707 350314640 356331080 366371348 371008960 372546146 377261920 389725037 407235520 409485440 416386880 418710112 419703886 425767024 428119328 457964185 463230404 469094080 479661584 482311648 490440496 523387640 529406176 532208780 535149160 560503424 570129728 579038005 599576980 602889560 611599040 613050620 658645120 661757720 680403932 689016640 691871414 700629280 712662160 732742696 742017920 745092292 754523840 779450074 814471040 832773760 837420224 839407772 850504915 851534048 856238656 915928370 926460808 931365365 938188160 959323168 964623296 980880992 1046775280 1049259715 1058812352 1064417560 1070298320 1140259456 1158076010 1190706881 1199153960 1205779120 1223198080 1226101240 1323515440 1360807864 1378033280 1383742828 1401258560 1425324320 1465485392 1490184584 1509047680 1558900148 1674840448 1678815544 1701009830 1703068096 1712477312 1729678535 1831856740 1852921616 1862730730 1918646336 1929246592 1948625185 1961761984 2093550560 2098519430 2117624704 2128835120 2140596640 2316152020 2368329071 2381413762 2398307920 2411558240 2421549949 2452202480 2647030880 2721615728 2728075259 2767485656 2802517120 2850648640 2930970784 2980369168 3117800296 3357631088 3402019660 3406136192 3459357070 3663713480 3705843232 3725461460 3837292672 3897250370 3923523968 4187101120 4197038860 4257670240 4281193280 4632304040 4736658142 4762827524 4796615840 4823116480 4843099898 4904404960 5294061760 5443231456 5456150518 5534971312 5701297280 5861941568 5953534405 5960738336 6235600592 6715262176 6804039320 6918714140 7327426960 7411686464 7450922920 7794500740 8374202240 8394077720 8515340480 8562386560 9264608080 9473316284 9525655048 9593231680 9646232960 9686199796 9808809920 10588123520 10886462912 10912301036 11069942624 11723883136 11841645355 11907068810 11921476672 12107749745 12471201184 13430524352 13608078640 13640376295 13837428280 14654853920 14823372928 14901845840 15589001480 16578303497 16788155440 17030680960 18529216160 18946632568 19051310096 19186463360 19372399592 19617619840 21772925824 21824602072 22139885248 23683290710 23814137620 23842953344 24215499490 24942402368 26861048704 27216157280 27280752590 27674856560 29309707840 29803691680 30788277923 31178002960 33156606994 33576310880 37058432320 37893265136 38102620192 38744799184 43649204144 44279770496 47366581420 47628275240 48430998980 49884804736 54432314560 54561505180 55349713120 58619415680 59607383360 61576555846 62356005920 66313213988 67152621760 74116864640 75786530272 76205240384 77489598368 82891517485 87298408288 94733162840 95256550480 96861997960 108864629120 109123010360 110699426240 119214766720 123153111692 124712011840 132626427976 134305243520 151573060544 152410480768 153941389615 154979196736 165783034970 174596816576 189466325680 190513100960 193723995920 215517945461 218246020720 221398852480 246306223384 249424023680 265252855952 303146121088 307882779230 309958393472 331566069940 349193633152 378932651360 381026201920 387447991840 431035890922 436492041440 492612446768 530505711904 615765558460 663132139880 757865302720 762052403840 774895983680 862071781844 872984082880 985224893536 1061011423808 1077589727305 1231531116920 1326264279760 1515730605440 1549791967360 1724143563688 1745968165760 1970449787072 2122022847616 2155179454610 2463062233840 2652528559520 3448287127376 3940899574144 4310358909220 4926124467680 5305057119040 6896574254752 8620717818440 9852248935360 10610114238080 13793148509504 17241435636880 19704497870720 27586297019008 34482871273760 68965742547520 137931485095040
- Sum of all divisors σ(n): 418112368128000
- Sum of proper divisors (its aliquot sum) s(n): 280180883032960
- 137931485095040 is an abundant number, because the sum of its proper divisors (280180883032960) is greater than itself. Its abundance is 142249397937920
Bases of 137931485095040
- Binary: 111110101110010101011010010110000100100100000002
- Hexadecimal: 0x7D72AD2C2480
- Base-36: 1CW4UKXUGW
Squares and roots of 137931485095040
- 137931485095040 squared (1379314850950402) is 19025094580523241677832601600
- 137931485095040 cubed (1379314850950403) is 2624159549565167790570271209162586456064000
-
The
square root of 137931485095040 is 11744423.5744050037 -
The
cube root of 137931485095040 is 51667.9389098955
Scales and comparisons
How big is 137931485095040?- 137,931,485,095,040 seconds is equal to 4,385,794 years, 29 weeks, 6 days, 15 hours, 17 minutes, 20 seconds.
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To count from 1 to 137,931,485,095,040 would take you about ten million, nine hundred sixty-four thousand, four hundred eighty-six 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 137931485095040 cubic inches would be around 4305.7 feet tall.
Recreational maths with 137931485095040
- 137931485095040 backwards is 040590584139731
- The number of decimal digits it has is: 15
- The sum of 137931485095040's digits is 59
- More coming soon!
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The information we have on file for 137931485095040 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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