137085937580106240
137,085,937,580,106,240 is an even composite number composed of eight prime numbers multiplied together.
137085937580106240 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 137085937580106240:
29 × 3 × 5 × 112 × 17 × 257 × 439 × 76913
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 17 × 257 × 439 × 76913)See below for interesting mathematical facts about the number 137085937580106240 from the Numbermatics database.
Names of 137085937580106240
- Cardinal: 137085937580106240 can be written as One hundred thirty-seven quadrillion, eighty-five trillion, nine hundred thirty-seven billion, five hundred eighty million, one hundred six thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.3708593758010624 × 1017
Factors of 137085937580106240
Divisors of 137085937580106240
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 30 32 33 34 40 44 48 51 55 60 64 66 68 80 85 88 96 102 110 120 121 128 132 136 160 165 170 176 187 192 204 220 240 242 255 256 257 264 272 320 330 340 352 363 374 384 408 439 440 480 484 510 512 514 528 544 561 605 640 660 680 704 726 748 768 771 816 878 880 935 960 968 1020 1028 1056 1088 1122 1210 1280 1285 1317 1320 1360 1408 1452 1496 1536 1542 1632 1756 1760 1815 1870 1920 1936 2040 2056 2057 2112 2176 2195 2244 2420 2560 2570 2634 2640 2720 2805 2816 2827 2904 2992 3084 3264 3512 3520 3630 3740 3840 3855 3872 4080 4112 4114 4224 4352 4369 4390 4488 4829 4840 5140 5268 5280 5440 5610 5632 5654 5808 5984 6168 6171 6528 6585 7024 7040 7260 7463 7480 7680 7710 7744 8160 8224 8228 8448 8481 8704 8738 8780 8976 9658 9680 10280 10285 10536 10560 10880 11220 11308 11616 11968 12336 12342 13056 13107 13170 14048 14080 14135 14487 14520 14926 14960 15420 15488 16320 16448 16456 16896 16962 17476 17560 17952 19316 19360 20560 20570 21072 21120 21760 21845 22389 22440 22616 23232 23936 24145 24672 24684 26112 26214 26340 28096 28160 28270 28974 29040 29852 29920 30840 30855 30976 31097 32640 32896 32912 33924 34952 35120 35904 37315 38632 38720 41120 41140 42144 42240 42405 43520 43690 44778 44880 45232 46464 47872 48059 48290 49344 49368 52428 52680 53119 56192 56540 57948 58080 59704 59840 61680 61710 61952 62194 65280 65535 65792 65824 67848 69904 70240 71808 72435 74630 76913 77264 77440 82093 82240 82280 84288 84480 84810 87380 89556 89760 90464 92928 93291 95744 96118 96580 98688 98736 104856 105360 106238 111945 112384 112823 113080 115896 116160 119408 119680 123360 123420 124388 130560 131070 131584 131648 135696 139808 140480 143616 144177 144870 149260 153826 154528 154880 155485 159357 164186 164480 164560 168576 169620 174760 179112 179520 180928 185856 186582 192236 193160 197376 197472 209712 210720 212476 223890 224768 225646 226160 230739 231792 232320 238816 239360 240295 246279 246720 246840 248776 262140 263296 265595 271392 279616 280960 287232 288354 289740 298520 307652 309056 309760 310970 318714 328372 328960 329120 337152 338469 339240 349520 358224 359040 361856 373164 384472 384565 386320 394752 394944 410465 419424 421440 424952 447780 451292 452320 461478 463584 464640 466455 477632 478720 480590 492558 493440 493680 497552 524280 526592 528649 531190 542784 559232 561920 564115 576708 579480 597040 615304 618112 621940 637428 656744 657920 658240 674304 676938 678480 699040 716448 718080 720885 723712 746328 768944 769130 772640 789888 796785 820930 838848 842880 846043 849904 895560 902584 903023 904640 922956 927168 929280 932910 955264 961180 985116 986880 987360 995104 1048560 1053184 1057298 1062380 1085568 1118464 1123840 1128230 1153416 1153695 1158960 1194080 1230608 1231395 1236224 1241053 1243880 1274856 1307521 1313488 1316480 1353876 1356960 1398080 1432896 1436160 1441770 1447424 1492656 1537888 1538260 1545280 1579776 1585947 1593570 1641860 1677696 1685760 1692086 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208362623997 208735728960 215061054080 220416660096 221781712020 222793834560 229609301856 236567159488 237704241280 243010622976 243959883222 245132498820 252560756360 258073264896 259313717760 260326661970 261474665408 275520825120 277681772768 277816831996 278314305280 285245089536 286359328167 287011627320 293888880128 295036883566 295708949360 297058446080 303072907632 303763278720 306145735808 322591581120 325279844296 326843331760 333977166336 347102215960 347271039995 354850739232 356470135296 356556361920 367361100160 378841134540 381812437556 382682169760 392211998112 404097210176 405017704960 406599805370 416522659152 416725247994 417471457920 430122108160 440833320192 442555325349 443563424040 445587669120 459218603712 473134318976 475408482560 477265546945 487919766444 490264997640 505121512720 516146529792 520653323940 522949330816 551041650240 555363545536 555633663992 556628610560 570490179072 572718656334 574023254640 590073767132 591417898720 594116892160 606145815264 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1909062187780 1951679065776 1961059990560 2020486050880 2082613295760 2083626239970 2091797323264 2099968406558 2204166600960 2212776626745 2221454182144 2222534655968 2290874625336 2296093018560 2360295068528 2365671594880 2424583261056 2439598832220 2580732648960 2602238754368 2614746654080 2776817727680 2778168319960 2838805913856 2852450895360 2863593281670 2950368835660 3030729076320 3054499500448 3061457358080 3137695984896 3149952609837 3232777681408 3245405719226 3252798442960 3332181273216 3333801983952 3540442602792 3548507392320 3673748829696 3818124375560 3903358131552 3922119981120 4040972101760 4165226591520 4167252479940 4199936813116 4408333201920 4425553253490 4442908364288 4445069311936 4581749250672 4592186037120 4720590137056 4731343189760 4849166522112 4868108578839 4879197664440 5204477508736 5229493308160 5249921016395 5553635455360 5556336639920 5677611827712 5727186563340 5900737671320 6061458152640 6108999000896 6122914716160 6275391969792 6299905219674 6490811438452 6505596885920 6664362546432 6667603967904 7080885205584 7097014784640 7636248751120 7806716263104 7844239962240 8081944203520 8113514298065 8330453183040 8334504959880 8399873626232 8851106506980 8890138623872 9163498501344 9184372074240 9441180274112 9462686379520 9698333044224 9736217157678 9758395328880 10408955017472 10458986616320 10499842032790 11107270910720 11112673279840 11454373126680 11801475342640 12122916305280 12217998001792 12599810439348 12981622876904 13011193771840 13328725092864 13335207935808 14161770411168 14194029569280 15272497502240 15613432526208 15688479924480 15749763049185 16163888407040 16227028596130 16660906366080 16669009919760 16799747252464 17702213013960 17780277247744 17849731455743 18326997002688 18368744148480 18882360548224 19472434315356 19516790657760 20817910034944 20999684065580 22214541821440 22225346559680 22908746253360 23602950685280 24245832610560 24340542894195 24435996003584 25199620878696 25963245753808 26022387543680 26670415871616 28323540822336 28388059138560 30544995004480 31226865052416 31376959848960 31499526098370 32454057192260 33321812732160 33338019839520 33599494504928 35404426027920 35560554495488 35699462911486 36653994005376 37764721096448 38944868630712 39033581315520 41999368131160 44450693119360 45817492506720 47205901370560 48491665221120 48681085788390 48871992007168 50399241757392 51926491507616 52044775087360 53340831743232 53549194367229 56647081644672 61089990008960 62453730104832 62999052196740 64908114384520 66643625464320 66676039679040 67198989009856 70808852055840 71398925822972 73307988010752 75529442192896 77889737261424 78067162631040 83998736262320 88901386238720 89248657278715 91634985013440 94411802741120 97362171576780 100798483514784 103852983015232 104089550174720 106681663486464 107098388734458 113294163289344 122179980017920 125998104393480 129816228769040 133352079358080 134397978019712 141617704111680 142797851645944 146615976021504 155779474522848 156134325262080 167997472524640 177802772477440 178497314557430 183269970026880 188823605482240 194724343153560 201596967029568 207705966030464 214196777468916 226588326578688 244359960035840 251996208786960 259632457538080 266704158716160 267745971836145 268795956039424 283235408223360 285595703291888 311558949045696 312268650524160 335994945049280 356994629114860 366539940053760 377647210964480 389448686307120 403193934059136 415411932060928 428393554937832 503992417573920 519264915076160 533408317432320 535491943672290 537591912078848 566470816446720 571191406583776 623117898091392 671989890098560 713989258229720 733079880107520 778897372614240 806387868118272 830823864121856 856787109875664 1007984835147840 1038529830152320 1070983887344580 1132941632893440 1142382813167552 1246235796182784 1343979780197120 1427978516459440 1557794745228480 1612775736236544 1713574219751328 2015969670295680 2077059660304640 2141967774689160 2284765626335104 2492471592365568 2687959560394240 2855957032918880 3115589490456960 3427148439502656 4031939340591360 4154119320609280 4283935549378320 4569531252670208 5711914065837760 6231178980913920 6854296879005312 8063878681182720 8567871098756640 9139062505340416 11423828131675520 12462357961827840 13708593758010624 17135742197513280 22847656263351040 27417187516021248 34271484395026560 45695312526702080 68542968790053120 137085937580106240
- Sum of all divisors σ(n): 513202545549872640
- Sum of proper divisors (its aliquot sum) s(n): 376116607969766400
- 137085937580106240 is an abundant number, because the sum of its proper divisors (376116607969766400) is greater than itself. Its abundance is 239030670389660160
Bases of 137085937580106240
- Binary: 1111001110000011011101111000101010010100111100010000000002
- Hexadecimal: 0x1E706EF1529E200
- Base-36: 11HSWQBP6AYO
Squares and roots of 137085937580106240
- 137085937580106240 squared (1370859375801062402) is 18792554282216784276417009686937600
- 137085937580106240 cubed (1370859375801062403) is 2576194923302728314312170367155309718064148250624000
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The
square root of 137085937580106240 is 370251181.7403237405 -
The
cube root of 137085937580106240 is 515621.4417655023
Scales and comparisons
How big is 137085937580106240?- 137,085,937,580,106,240 seconds is equal to 4,358,908,780 years, 20 weeks, 6 days, 1 hour, 4 minutes.
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To count from 1 to 137,085,937,580,106,240 would take you about thirteen billion, seventy-six million, seven hundred twenty-six thousand, three hundred forty-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 137085937580106240 cubic inches would be around 42968.5 feet tall.
Recreational maths with 137085937580106240
- 137085937580106240 backwards is 042601085739580731
- The number of decimal digits it has is: 18
- The sum of 137085937580106240's digits is 69
- More coming soon!
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The information we have on file for 137085937580106240 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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