137124813482976

Names of 137124813482976

• Cardinal: 137124813482976 can be written as One hundred thirty-seven trillion, one hundred twenty-four billion, eight hundred thirteen million, four hundred eighty-two thousand, nine hundred seventy-six.

Scientific notation

• Scientific notation: 1.37124813482976 × 10¹⁴

Factors of 137124813482976

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1169

Divisors of 137124813482976

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 61 62 66 88 93 96 122 124 132 176 183 186 244 248 264 341 352 366 372 488 496 528 671 682 732 744 976 992 1023 1056 1061 1342 1364 1464 1488 1891 1952 2013 2046 2122 2684 2728 2928 2976 3183 3721 3782 4026 4092 4244 5368 5456 5673 5856 6366 7442 7564 8052 8184 8488 10736 10912 11163 11346 11671 12732 14884 15128 16104 16368 16976 20801 21472 22326 22692 23342 25464 29768 30256 32208 32736 32891 33952 35013 40931 41602 44652 45384 46684 50928 59536 60512 62403 64416 64721 65782 70026 81862 83204 89304 90768 93368 98673 101856 115351 119072 122793 124806 129442 131564 140052 163724 166408 178608 181536 186736 194163 197346 230702 245586 249612 258884 263128 280104 327448 332816 346053 357216 361801 373472 388326 394692 461404 491172 499224 517768 526256 560208 654896 665632 692106 711931 723602 776652 789384 922808 982344 998448 1035536 1052512 1085403 1120416 1125721 1268861 1309792 1384212 1423862 1447204 1553304 1578768 1845616 1964688 1996896 2006351 2071072 2135793 2170806 2251442 2537722 2768424 2847724 2894408 3106608 3157536 3377163 3691232 3806583 3929376 3947981 4012702 4271586 4341612 4502884 5075444 5536848 5695448 5788816 6019053 6213216 6754326 7613166 7895962 8025404 8543172 8683224 9005768 10150888 11073696 11390896 11577632 11843943 12038106 12382931 13508652 15226332 15791924 16050808 17086344 17366448 18011536 20301776 22069861 22781792 23687886 24076212 24765862 27017304 30452664 31583848 32101616 34172688 34732896 34897351 36023072 37148793 40603552 43427791 44139722 47375772 48152424 49531724 54034608 60905328 63167696 64203232 66209583 68345376 68668981 69794702 74297586 86855582 88279444 94751544 96304848 99063448 104692053 108069216 121810656 122387411 126335392 130283373 132419166 137337962 139589404 148595172 173711164 176558888 189503088 192609696 198126896 206006943 209384106 244774822 260566746 264838332 274675924 279178808 297190344 347422328 353117776 367162233 379006176 383870861 396253792 412013886 418768212 489549644 521133492 529676664 549351848 558357616 594380688 694844656 706235552 734324466 755358791 767741722 824027772 837536424 979099288 1042266984 1059353328 1098703696 1116715232 1151612583 1188761376 1346261521 1389689312 1468648932 1510717582 1535483444 1648055544 1675072848 1958198576 2084533968 2118706656 2128738411 2197407392 2266076373 2303225166 2692523042 2937297864 3021435164 3070966888 3296111088 3350145696 3916397152 4038784563 4169067936 4188807841 4257476822 4532152746 4606450332 5385046084 5874595728 6042870328 6141933776 6386215233 6592222176 8077569126 8377615682 8514953644 9064305492 9212900664 10770092168 11749191456 12085740656 12283867552 12566423523 12772430466 16155138252 16755231364 17029907288 18128610984 18425801328 21540184336 23416122521 24171481312 25132847046 25544860932 32310276504 33510462728 34059814576 36257221968 36851602656 43080368672 46076886251 46832245042 50265694092 51089721864 64620553008 67020925456 68119629152 70248367563 72514443936 92153772502 93664490084 100531388184 102179443728 129241106016 129853043071 134041850912 138230658753 140496735126 184307545004 187328980168 201062776368 204358887456 259706086142 276461317506 280993470252 368615090008 374657960336 389559129213 402125552736 519412172284 552922635012 561986940504 737230180016 749315920672 779118258426 1038824344568 1105845270024 1123973881008 1428383473781 1474460360032 1558236516852 2077648689136 2211690540048 2247947762016 2856766947562 3116473033704 4155297378272 4285150421343 4423381080096 5713533895124 6232946067408 8570300842686 11427067790248 12465892134816 17140601685372 22854135580496 34281203370744 45708271160992 68562406741488 137124813482976
• Sum of all divisors σ(n): 412485220772352
• Sum of proper divisors (its aliquot sum) s(n): 275360407289376
• 137124813482976 is an abundant number, because the sum of its proper divisors (275360407289376) is greater than itself. Its abundance is 138235593806400

Bases of 137124813482976

• Binary: 11111001011011011011011110011000010101111100000₂
• Hexadecimal: 0x7CB6DBCC2BE0
• Base-36: 1CLU9PHN1C

Squares and roots of 137124813482976

• 137124813482976 squared (137124813482976²) is 18803214472740956600241816576
• 137124813482976 cubed (137124813482976³) is 2578387277454998584435811107722691890610176
• The square root of 137124813482976 is 11710030.4646476475
• The cube root of 137124813482976 is 51567.0178479803

Scales and comparisons

• 137,124,813,482,976 seconds is equal to 4,360,144 years, 47 weeks, 3 days, 15 hours, 29 minutes, 36 seconds.
• To count from 1 to 137,124,813,482,976 would take you about ten million, nine hundred thousand, three hundred sixty-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 137124813482976 cubic inches would be around 4297.3 feet tall.

Recreational maths with 137124813482976

• 137124813482976 backwards is 679284318421731
• 137124813482976 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137124813482976's digits is 66
• More coming soon!