137540115984

Names of 137540115984

• Cardinal: 137540115984 can be written as One hundred thirty-seven billion, five hundred forty million, one hundred fifteen thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.37540115984 × 10¹¹

Factors of 137540115984

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 468

Divisors of 137540115984

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 37 48 53 67 74 106 111 113 134 148 159 193 201 212 222 226 268 296 318 339 386 402 424 444 452 536 579 592 636 678 772 804 848 888 904 1072 1158 1272 1356 1544 1608 1776 1808 1961 2316 2479 2544 2712 3088 3216 3551 3922 4181 4632 4958 5424 5883 5989 7102 7141 7437 7571 7844 8362 9264 9916 10229 10653 11766 11978 12543 12931 14204 14282 14874 15142 15688 16724 17967 19832 20458 21306 21423 21809 22713 23532 23956 25086 25862 28408 28564 29748 30284 30687 31376 33448 35934 38793 39664 40916 42612 42846 43618 45426 47064 47912 50172 51724 56816 57128 59496 60568 61374 65427 66896 71868 77586 81832 85224 85692 87236 90852 94128 95824 100344 103448 114256 118992 121136 122748 130854 131387 143736 155172 163664 170448 171384 174472 181704 200688 206896 221593 245496 261708 262774 280127 287472 310344 342768 348944 363408 378473 394161 401263 443186 478447 490992 523416 525548 560254 620688 664779 685343 756946 788322 802526 806933 840381 886372 956894 1046832 1051096 1120508 1135419 1155877 1203789 1329558 1370686 1435341 1461203 1513892 1576644 1605052 1613866 1680762 1772744 1913788 2056029 2102192 2241016 2270838 2311754 2407578 2420799 2659116 2741372 2870682 2922406 3027784 3153288 3210104 3227732 3361524 3467631 3545488 3827576 4112058 4383609 4482032 4541676 4623508 4815156 4841598 5318232 5482744 5741364 5844812 6055568 6306576 6420208 6455464 6723048 6935262 7655152 8224116 8767218 9083352 9247016 9630312 9683196 10636464 10965488 11482728 11689624 12910928 13446096 13870524 14846731 16448232 17534436 18166704 18494032 19260624 19366392 22965456 23379248 25357691 27741048 29693462 32896464 35068872 38732784 42767449 44540193 50715382 54064511 55482096 59386924 70137744 76073073 77443759 85534898 89080386 101430764 108129022 118773848 128302347 152146146 154887518 162193533 171069796 178160772 202861528 216258044 232331277 237547696 256604694 304292292 309775036 324387066 342139592 356321544 405723056 432516088 464662554 513209388 608584584 619550072 648774132 684279184 712643088 865032176 929325108 1026418776 1217169168 1239100144 1297548264 1858650216 2052837552 2595096528 2865419083 3717300432 5730838166 8596257249 11461676332 17192514498 22923352664 34385028996 45846705328 68770057992 137540115984
• Sum of all divisors σ(n): 382661293824
• Sum of proper divisors (its aliquot sum) s(n): 245121177840
• 137540115984 is an abundant number, because the sum of its proper divisors (245121177840) is greater than itself. Its abundance is 107581061856

Bases of 137540115984

• Binary: 10000000000110000001111001111000010000₂
• Hexadecimal: 0x2006079E10
• Base-36: 1R6NU0PC

Squares and roots of 137540115984

• 137540115984 squared (137540115984²) is 18917283504892172288256
• 137540115984 cubed (137540115984³) is 2601885367365079407940440921083904
• The square root of 137540115984 is 370864.0127917511
• The cube root of 137540115984 is 5161.9024791727

Scales and comparisons

• 137,540,115,984 seconds is equal to 4,373 years, 18 weeks, 1 day, 11 hours, 46 minutes, 24 seconds.
• To count from 1 to 137,540,115,984 would take you about eight thousand, seven hundred forty-six 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 137540115984 cubic inches would be around 430.2 feet tall.

Recreational maths with 137540115984

• 137540115984 backwards is 489511045731
• 137540115984 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137540115984's digits is 48
• More coming soon!