137955336992000
137,955,336,992,000 is an even composite number composed of five prime numbers multiplied together.
137955336992000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 137955336992000:
28 × 53 × 112 × 472 × 1272
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 47 × 47 × 127 × 127)See below for interesting mathematical facts about the number 137955336992000 from the Numbermatics database.
Names of 137955336992000
- Cardinal: 137955336992000 can be written as One hundred thirty-seven trillion, nine hundred fifty-five billion, three hundred thirty-six million, nine hundred ninety-two thousand.
Scientific notation
- Scientific notation: 1.37955336992 × 1014
Factors of 137955336992000
Divisors of 137955336992000
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 44 47 50 55 64 80 88 94 100 110 121 125 127 128 160 176 188 200 220 235 242 250 254 256 275 320 352 376 400 440 470 484 500 508 517 550 605 635 640 704 752 800 880 940 968 1000 1016 1034 1100 1175 1210 1270 1280 1375 1397 1408 1504 1600 1760 1880 1936 2000 2032 2068 2200 2209 2350 2420 2540 2585 2750 2794 2816 3008 3025 3175 3200 3520 3760 3872 4000 4064 4136 4400 4418 4700 4840 5080 5170 5500 5588 5687 5875 5969 6016 6050 6350 6400 6985 7040 7520 7744 8000 8128 8272 8800 8836 9400 9680 10160 10340 11000 11045 11176 11374 11750 11938 12032 12100 12700 12925 13970 14080 15040 15125 15367 15488 15875 16000 16129 16256 16544 17600 17672 18800 19360 20320 20680 22000 22090 22352 22748 23500 23876 24200 24299 25400 25850 27940 28435 29845 30080 30250 30734 30976 31750 32000 32258 32512 33088 34925 35200 35344 37600 38720 40640 41360 44000 44180 44704 45496 47000 47752 48400 48598 50800 51700 55225 55880 56870 59690 60160 60500 61468 63500 64516 64625 65659 66176 69850 70400 70688 75200 76835 77440 80645 81280 82720 88000 88360 89408 90992 94000 95504 96800 97196 101600 103400 110450 111760 113740 119380 121000 121495 122936 127000 129032 129250 131318 132352 139700 141376 142175 149225 150400 153670 154880 161290 162560 165440 174625 176000 176720 177419 178816 181984 188000 191008 193600 194392 203200 206800 220900 223520 227480 238760 242000 242990 245872 254000 258064 258500 262636 267289 276125 279400 280543 282752 284350 298450 300800 307340 322580 328295 330880 349250 352000 353440 354838 357632 363968 376000 382016 384175 387200 388784 403225 406400 413600 441800 447040 454960 477520 484000 485980 491744 508000 516128 517000 525272 534578 552250 558800 561086 565504 568700 596900 607475 614680 645160 656590 661760 698500 706880 709676 710875 722249 727936 746125 752000 758063 764032 768350 774400 777568 806450 812800 827200 883600 887095 894080 909920 955040 968000 971960 983488 1016000 1032256 1034000 1050544 1069156 1104500 1117600 1122172 1137400 1193800 1214950 1229360 1290320 1313180 1336445 1397000 1402715 1413760 1419352 1421750 1444498 1455872 1492250 1504000 1516126 1528064 1536700 1555136 1612900 1641475 1654400 1767200 1774190 1788160 1819840 1910080 1920875 1936000 1943920 1951609 1966976 2016125 2032000 2064512 2068000 2101088 2138312 2209000 2235200 2244344 2274800 2387600 2429900 2458720 2580640 2626360 2672890 2794000 2805430 2827520 2838704 2843500 2888996 2984500 3032252 3037375 3073400 3085973 3110272 3225800 3282950 3308800 3534400 3548380 3611245 3639680 3790315 3820160 3841750 3872000 3887840 3903218 3933952 4032250 4064000 4129024 4136000 4202176 4276624 4418000 4435475 4470400 4488688 4549600 4775200 4859800 4917440 5161280 5252720 5345780 5588000 5610860 5677408 5687000 5777992 5969000 6064504 6074750 6146800 6171946 6220544 6451600 6565900 6682225 7013575 7068800 7096760 7222490 7279360 7580630 7640320 7683500 7775680 7806436 8064500 8207375 8272000 8338693 8404352 8553248 8836000 8870950 8940800 8977376 9099200 9550400 9719600 9758045 9834880 10322560 10505440 10691560 11176000 11221720 11354816 11374000 11555984 11938000 12129008 12149500 12293600 12343892 12903200 13131800 13364450 14027150 14137600 14193520 14444980 15161260 15367000 15429865 15551360 15612872 16129000 16414750 16544000 16677386 16808704 17106496 17672000 17741900 17954752 18056225 18198400 18951575 19100800 19439200 19516090 19669760 20645120 21010880 21383120 22177375 22352000 22443440 22709632 22748000 23111968 23876000 24258016 24299000 24587200 24687784 25806400 26263600 26728900 28054300 28387040 28889960 30322520 30734000 30859730 31102720 31225744 32258000 32829500 33354772 33411125 33945703 34212992 35067875 35344000 35483800 35628961 35909504 36112450 36396800 37903150 38201600 38878400 39032180 41693465 42021760 42766240 44354750 44704000 44886880 45419264 45496000 46223936 47752000 48516032 48598000 48790225 49174400 49375568 51612800 52527200 53457800 56108600 56774080 57779920 60645040 61468000 61719460 62451488 64516000 65659000 66709544 66822250 67891406 68425984 70135750 70688000 70967600 71257922 71819008 72224900 75806300 77149325 77756800 78064360 83386930 84043520 85532480 88709500 89773760 90281125 90992000 91725623 92447872 94757875 95504000 97032064 97196000 97580450 98348800 98751136 103225600 105054400 106915600 112217200 113548160 115559840 121290080 122936000 123438920 124902976 129032000 131318000 133419088 133644500 135782812 140271500 141935200 142515844 144449800 151612600 154298650 155513600 156128720 166773860 169728515 171064960 177419000 178144805 179547520 180562250 181984000 183451246 184895744 189515750 191008000 194064128 194392000 195160900 197502272 208467325 210108800 213831200 224434400 227096320 231119680 242580160 243951125 245872000 246877840 249805952 258064000 262636000 266838176 267289000 271565624 280543000 283870400 285031688 288899600 303225200 308597300 312257440 333547720 339457030 342129920 354838000 356289610 359095040 361124500 366902492 379031500 385746625 388784000 390321800 391918571 395004544 416934650 420217600 427662400 448868800 458628115 462239360 485160320 487902250 491744000 493755680 499611904 516128000 525272000 533676352 534578000 543131248 561086000 567740800 570063376 577799200 606450400 617194600 624514880 667095440 678914060 709676000 712579220 722249000 733804984 758063000 771493250 777568000 780643600 783837142 790009088 833869300 848642575 855324800 890724025 897737600 917256230 924478720 970320640 975804500 987511360 1042336625 1050544000 1067352704 1069156000 1086262496 1122172000 1135481600 1140126752 1155598400 1212900800 1234389200 1249029760 1334190880 1357828120 1419352000 1425158440 1444498000 1467609968 1516126000 1542986500 1561287200 1567674284 1667738600 1697285150 1710649600 1781448050 1795475200 1834512460 1951609000 1959592855 1975022720 2084673250 2101088000 2134705408 2138312000 2172524992 2244344000 2280253504 2293140575 2311196800 2425801600 2468778400 2498059520 2668381760 2715656240 2838704000 2850316880 2888996000 2935219936 3032252000 3085973000 3122574400 3135348568 3335477200 3394570300 3562896100 3669024920 3903218000 3919185710 3950045440 4169346500 4243212875 4276624000 4311104281 4345049984 4453620125 4488688000 4560507008 4586281150 4622393600 4851603200 4937556800 5336763520 5431312480 5677408000 5700633760 5777992000 5870439872 6064504000 6171946000 6245148800 6270697136 6670954400 6789140600 7125792200 7338049840 7806436000 7838371420 8338693000 8486425750 8553248000 8622208562 8690099968 8907240250 8977376000 9121014016 9172562300 9797964275 9875113600 10673527040 10862624960 11401267520 11465702875 11555984000 11740879744 12129008000 12343892000 12490297600 12541394272 13341908800 13578281200 14251584400 14676099680 15612872000 15676742840 16677386000 16972851500 17244417124 17814480500 18345124600 19595928550 19750227200 21555521405 21725249920 22802535040 22931405750 23111968000 23481759488 24258016000 24687784000 25082788544 26683817600 27156562400 28503168800 29352199360 31225744000 31353485680 33354772000 33945703000 34488834248 35628961000 36690249200 39191857100 43111042810 43450499840 45605070080 45862811500 48989821375 49375568000 50165577088 53367635200 54313124800 57006337600 58704398720 62451488000 62706971360 66709544000 67891406000 68977668496 71257922000 73380498400 78383714200 86222085620 91725623000 97979642750 98751136000 100331154176 107777607025 108626249600 114012675200 117408797440 125413942720 133419088000 135782812000 137955336992 142515844000 146760996800 156767428400 172444171240 183451246000 195959285500 215555214050 217252499200 228025350400 250827885440 266838176000 271565624000 275910673984 285031688000 293521993600 313534856800 344888342480 366902492000 391918571000 431110428100 501655770880 538888035125 543131248000 551821347968 570063376000 587043987200 627069713600 689776684960 733804984000 783837142000 862220856200 1077776070250 1086262496000 1103642695936 1140126752000 1254139427200 1379553369920 1467609968000 1567674284000 1724441712400 2155552140500 2508278854400 2759106739840 2935219936000 3135348568000 3448883424800 4311104281000 5518213479680 6270697136000 6897766849600 8622208562000 12541394272000 13795533699200 17244417124000 27591067398400 34488834248000 68977668496000 137955336992000
- Sum of all divisors σ(n): 389017469285172
- Sum of proper divisors (its aliquot sum) s(n): 251062132293172
- 137955336992000 is an abundant number, because the sum of its proper divisors (251062132293172) is greater than itself. Its abundance is 113106795301172
Bases of 137955336992000
- Binary: 111110101111000001110101101101100110101000000002
- Hexadecimal: 0x7D783ADB3500
- Base-36: 1CWFT1QRY8
Squares and roots of 137955336992000
- 137955336992000 squared (1379553369920002) is 19031675004576283608064000000
- 137955336992000 cubed (1379553369920003) is 2625521138778544347321434768703488000000000
-
The
square root of 137955336992000 is 11745438.9867726953 -
The
cube root of 137955336992000 is 51670.9169762023
Scales and comparisons
How big is 137955336992000?- 137,955,336,992,000 seconds is equal to 4,386,552 years, 51 weeks, 4 days, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 137,955,336,992,000 would take you about ten million, nine hundred sixty-six thousand, three hundred eighty-two 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 137955336992000 cubic inches would be around 4305.9 feet tall.
Recreational maths with 137955336992000
- 137955336992000 backwards is 000299633559731
- The number of decimal digits it has is: 15
- The sum of 137955336992000's digits is 62
- More coming soon!
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