137386066608320
137,386,066,608,320 is an even composite number composed of seven prime numbers multiplied together.
137386066608320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 137386066608320:
26 × 5 × 23 × 37 × 643 × 661 × 1187
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 23 × 37 × 643 × 661 × 1187)See below for interesting mathematical facts about the number 137386066608320 from the Numbermatics database.
Names of 137386066608320
- Cardinal: 137386066608320 can be written as One hundred thirty-seven trillion, three hundred eighty-six billion, sixty-six million, six hundred eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3738606660832 × 1014
Factors of 137386066608320
Divisors of 137386066608320
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 4 5 8 10 16 20 23 32 37 40 46 64 74 80 92 115 148 160 184 185 230 296 320 368 370 460 592 643 661 736 740 851 920 1184 1187 1286 1322 1472 1480 1702 1840 2368 2374 2572 2644 2960 3215 3305 3404 3680 4255 4748 5144 5288 5920 5935 6430 6610 6808 7360 8510 9496 10288 10576 11840 11870 12860 13220 13616 14789 15203 17020 18992 20576 21152 23740 23791 24457 25720 26440 27232 27301 29578 30406 34040 37984 41152 42304 43919 47480 47582 48914 51440 52880 54464 54602 59156 60812 68080 73945 75968 76015 87838 94960 95164 97828 102880 105760 109204 118312 118955 121624 122285 136160 136505 147890 152030 175676 189920 190328 195656 205760 211520 218408 219595 236624 237910 243248 244570 272320 273010 295780 304060 351352 379840 380656 391312 425023 436816 439190 473248 475820 486496 489140 546020 547193 562511 591560 608120 702704 761312 763241 782624 784607 850046 873632 878380 946496 951640 972992 978280 1010137 1092040 1094386 1125022 1183120 1216240 1405408 1522624 1526482 1565248 1569214 1700092 1747264 1756760 1903280 1956560 2020274 2125115 2184080 2188772 2250044 2366240 2432480 2735965 2810816 2812555 3052964 3138428 3400184 3513520 3806560 3816205 3913120 3923035 4040548 4250230 4368160 4377544 4500088 4732480 4864960 5050685 5471930 5625110 6105928 6276856 6800368 7027040 7613120 7632410 7826240 7846070 8081096 8500460 8736320 8755088 9000176 9775529 10101370 10943860 11250220 12211856 12553712 13600736 14054080 15264820 15692140 15725851 16162192 17000920 17510176 17554543 18000352 18045961 19551058 20202740 21887720 22500440 24423712 25107424 27201472 28239917 29030459 30529640 31384280 31451702 32324384 34001840 35020352 35109086 36000704 36091922 39102116 40405480 43775440 45000880 48847424 48877645 50214848 56479834 58060918 61059280 62768560 62903404 64648768 68003680 70218172 72183844 78204232 78629255 80810960 87550880 87772715 90001760 90229805 97755290 112959668 116121836 122118560 125537120 125806808 136007360 140436344 141199585 144367688 145152295 156408464 157258510 161621920 175101760 175545430 180003520 180459610 195510580 225919336 232243672 244237120 251074240 251613616 280872688 282399170 288735376 290304590 312816928 314517020 323243840 351090860 360919220 361694573 391021160 451838672 464487344 503227232 504502301 561745376 564798340 577470752 580609180 625633856 629034040 649518091 667700557 702181720 721838440 723389146 782042320 903677344 928974688 1006454464 1009004602 1123490752 1129596680 1154941504 1161218360 1258068080 1299036182 1335401114 1404363440 1443676880 1446778292 1564084640 1807354688 1808472865 1857949376 2018009204 2259193360 2322436720 2516136160 2522511505 2598072364 2670802228 2808726880 2887353760 2893556584 3128169280 3247590455 3338502785 3616945730 4036018408 4518386720 4644873440 5032272320 5045023010 5196144728 5341604456 5617453760 5774707520 5787113168 6495180910 6677005570 7233891460 8072036816 9036773440 9289746880 10090046020 10392289456 10683208912 11574226336 11603552923 12990361820 13354011140 14467782920 16144073632 18666585137 20180092040 20784578912 21366417824 23148452672 23207105846 25980723640 26708022280 28935565840 32288147264 37333170274 40360184080 41569157824 42732835648 46414211692 51961447280 53416044560 57871131680 58017764615 74666340548 80720368160 92828423384 93332925685 103922894560 106832089120 115742263360 116035529230 149332681096 161440736320 185656846768 186665851370 207845789120 213664178240 232071058460 298665362192 371313693536 373331702740 429331458151 464142116920 597330724384 742627387072 746663405480 858662916302 928284233840 1194661448768 1493326810960 1717325832604 1856568467680 2146657290755 2986653621920 3434651665208 3713136935360 4293314581510 5973307243840 6869303330416 8586629163020 13738606660832 17173258326040 27477213321664 34346516652080 68693033304160 137386066608320
- Sum of all divisors σ(n): 351973613730816
- Sum of proper divisors (its aliquot sum) s(n): 214587547122496
- 137386066608320 is an abundant number, because the sum of its proper divisors (214587547122496) is greater than itself. Its abundance is 77201480514176
Bases of 137386066608320
- Binary: 111110011110011101011111011001010000000110000002
- Hexadecimal: 0x7CF3AFB280C0
- Base-36: 1CP6ACUSOW
Squares and roots of 137386066608320
- 137386066608320 squared (1373860666083202) is 18874931298105739708293222400
- 137386066608320 cubed (1373860666083203) is 2593152568549019037806076979348011450368000
-
The
square root of 137386066608320 is 11721180.2566260365 -
The
cube root of 137386066608320 is 51599.7459335285
Scales and comparisons
How big is 137386066608320?- 137,386,066,608,320 seconds is equal to 4,368,451 years, 49 weeks, 4 days, 16 hours, 5 minutes, 20 seconds.
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To count from 1 to 137,386,066,608,320 would take you about ten million, nine hundred twenty-one thousand, one hundred twenty-nine 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 137386066608320 cubic inches would be around 4300 feet tall.
Recreational maths with 137386066608320
- 137386066608320 backwards is 023806660683731
- The number of decimal digits it has is: 15
- The sum of 137386066608320's digits is 59
- More coming soon!
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