137966263776

Names of 137966263776

• Cardinal: 137966263776 can be written as One hundred thirty-seven billion, nine hundred sixty-six million, two hundred sixty-three thousand, seven hundred seventy-six.

Scientific notation

• Scientific notation: 1.37966263776 × 10¹¹

Factors of 137966263776

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1032

Divisors of 137966263776

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 19 22 24 32 33 36 38 44 48 57 66 72 76 88 96 99 114 121 132 144 152 171 176 198 209 228 242 264 288 304 342 352 361 363 396 418 456 484 528 608 627 684 722 726 792 836 912 968 997 1056 1083 1089 1254 1331 1368 1444 1452 1584 1672 1824 1881 1936 1994 2166 2178 2299 2508 2662 2736 2888 2904 2991 3168 3249 3344 3762 3872 3971 3988 3993 4332 4356 4598 5016 5324 5472 5776 5808 5982 6498 6688 6897 7524 7942 7976 7986 8664 8712 8973 9196 10032 10648 10967 11552 11616 11913 11964 11979 12996 13794 15048 15884 15952 15972 17328 17424 17946 18392 18943 20064 20691 21296 21934 23826 23928 23958 25289 25992 27588 30096 31768 31904 31944 32901 34656 34848 35739 35892 36784 37886 41382 42592 43681 43868 47652 47856 47916 50578 51984 55176 56829 60192 63536 63888 65802 71478 71784 73568 75772 75867 82764 87362 87736 95304 95712 95832 98703 101156 103968 110352 113658 120637 127072 127776 131043 131604 142956 143568 151544 151734 165528 170487 174724 175472 190608 191664 197406 202312 208373 220704 227316 227601 241274 262086 263208 285912 287136 303088 303468 331056 340974 349448 350944 359917 361911 381216 383328 393129 394812 404624 416746 454632 455202 480491 482548 524172 526416 571824 606176 606936 625119 662112 681948 698896 719834 723822 786258 789624 809248 833492 909264 910404 960982 965096 1048344 1052832 1079751 1085733 1143648 1213872 1250238 1327007 1363896 1397792 1439668 1441473 1447644 1572516 1579248 1666984 1818528 1820808 1875357 1921964 1930192 2096688 2159502 2171466 2292103 2427744 2500476 2654014 2727792 2879336 2882946 2895288 3145032 3158496 3239253 3333968 3641616 3750714 3843928 3860384 3959087 3981021 4193376 4319004 4324419 4342932 4584206 5000952 5308028 5455584 5758672 5765892 5790576 6290064 6478506 6667936 6876309 7283232 7501428 7687856 7918174 7962042 8638008 8648838 8685864 9168412 10001904 10616056 11517344 11531784 11581152 11877261 11943063 12580128 12957012 13752618 15002856 15375712 15836348 15924084 17276016 17297676 17371728 18336824 20003808 20628927 21232112 23063568 23754522 23886126 25213133 25914024 27505236 30005712 31672696 31848168 34552032 34595352 34743456 35631783 36673648 41257854 42464224 43549957 46127136 47509044 47772252 50426266 51828048 55010472 60011424 63345392 63696336 69190704 71263566 73347296 75639399 82515708 87099914 95018088 95544504 100852532 103656096 110020944 126690784 127392672 130649871 138381408 142527132 151278798 165031416 174199828 190036176 191089008 201705064 220041888 226918197 261299742 285054264 302557596 330062832 348399656 380072352 382178016 391949613 403410128 453836394 479049527 522599484 570108528 605115192 660125664 696799312 783899226 806820256 907672788 958099054 1045198968 1140217056 1210230384 1393598624 1437148581 1567798452 1815345576 1916198108 2090397936 2420460768 2874297162 3135596904 3630691152 3832396216 4180795872 4311445743 5748594324 6271193808 7261382304 7664792432 8622891486 11497188648 12542387616 15329584864 17245782972 22994377296 34491565944 45988754592 68983131888 137966263776
• Sum of all divisors σ(n): 455911445808
• Sum of proper divisors (its aliquot sum) s(n): 317945182032
• 137966263776 is an abundant number, because the sum of its proper divisors (317945182032) is greater than itself. Its abundance is 179978918256

Bases of 137966263776

• Binary: 10000000011111011011100001110111100000₂
• Hexadecimal: 0x201F6E1DE0
• Base-36: 1RDPJUG0

Squares and roots of 137966263776

• 137966263776 squared (137966263776²) is 19034689940308809778176
• 137966263776 cubed (137966263776³) is 2626145053199018944752438064152576
• The square root of 137966263776 is 371438.1022135451
• The cube root of 137966263776 is 5167.2281142449

Scales and comparisons

• 137,966,263,776 seconds is equal to 4,386 years, 46 weeks, 5 days, 18 hours, 9 minutes, 36 seconds.
• To count from 1 to 137,966,263,776 would take you about eight thousand, seven hundred seventy-three 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 137966263776 cubic inches would be around 430.6 feet tall.

Recreational maths with 137966263776

• 137966263776 backwards is 677362669731
• The number of decimal digits it has is: 12
• The sum of 137966263776's digits is 63
• More coming soon!