137456936064

Names of 137456936064

• Cardinal: 137456936064 can be written as One hundred thirty-seven billion, four hundred fifty-six million, nine hundred thirty-six thousand and sixty-four.

Scientific notation

• Scientific notation: 1.37456936064 × 10¹¹

Factors of 137456936064

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1175

Divisors of 137456936064

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 71 72 79 84 96 108 112 126 128 142 144 158 168 189 192 213 216 224 237 252 284 288 316 336 378 384 426 432 448 474 497 504 553 568 576 632 639 672 711 756 852 864 896 948 994 1008 1013 1106 1136 1152 1264 1278 1344 1422 1491 1512 1659 1704 1728 1896 1917 1988 2016 2026 2133 2212 2272 2528 2556 2688 2844 2982 3024 3039 3318 3408 3456 3792 3834 3976 4032 4052 4266 4424 4473 4544 4977 5056 5112 5609 5688 5964 6048 6078 6636 6816 7091 7584 7668 7952 8064 8104 8532 8848 8946 9088 9117 9954 10112 10224 11218 11376 11928 12096 12156 13272 13419 13632 14182 14931 15168 15336 15904 16208 16827 17064 17696 17892 18234 19908 20448 21273 22436 22752 23856 24192 24312 26544 26838 27264 27351 28364 29862 30336 30672 31808 32416 33654 34128 35392 35784 36468 39263 39816 40896 42546 44872 45504 47712 48624 50481 53088 53676 54702 56728 59724 61344 63616 63819 64832 67308 68256 70784 71568 71923 72936 78526 79632 80027 81792 85092 89744 91008 95424 97248 100962 106176 107352 109404 113456 117789 119448 122688 127638 129664 134616 136512 143136 143846 145872 151443 157052 159264 160054 170184 179488 190848 191457 194496 201924 212352 214704 215769 218808 226912 235578 238896 240081 245376 255276 269232 273024 286272 287692 291744 302886 314104 318528 320108 340368 353367 358976 382914 388992 403848 429408 431538 437616 453824 471156 477792 480162 503461 510552 538464 560189 572544 575384 583488 605772 628208 637056 640216 647307 680736 706734 717952 720243 765828 807696 858816 863076 875232 907648 942312 955584 960324 1006922 1021104 1060101 1076928 1120378 1150768 1166976 1211544 1256416 1280432 1294614 1361472 1413468 1440486 1510383 1531656 1615392 1680567 1717632 1726152 1750464 1884624 1911168 1920648 1941921 2013844 2042208 2120202 2153856 2160729 2240756 2301536 2423088 2512832 2560864 2589228 2722944 2826936 2880972 3020766 3063312 3230784 3361134 3452304 3500928 3769248 3841296 3883842 4027688 4084416 4240404 4321458 4481512 4531149 4603072 4846176 5025664 5041701 5121728 5178456 5653872 5681917 5761944 6041532 6126624 6461568 6722268 6904608 7538496 7682592 7767684 8055376 8168832 8480808 8642916 8963024 9062298 9206144 9692352 10083402 10243456 10356912 11307744 11363834 11523888 12083064 12253248 13444536 13593447 13809216 15076992 15125103 15365184 15535368 16110752 16961616 17045751 17285832 17926048 18124596 19384704 20166804 20713824 22615488 22727668 23047776 24166128 24506496 26889072 27186894 27618432 30250206 30730368 31070736 32221504 33923232 34091502 34571664 35852096 36249192 39773419 40333608 41427648 45230976 45455336 46095552 48332256 51137253 53778144 54373788 60500412 62141472 64443008 67846464 68183004 69143328 71704192 72498384 79546838 80667216 82855296 90910672 92191104 96664512 102274506 107556288 108747576 119320257 121000824 124282944 135692928 136366008 138286656 144996768 153411759 159093676 161334432 181821344 193329024 204549012 215112576 217495152 238640514 242001648 248565888 272732016 276573312 289993536 306823518 318187352 322668864 357960771 363642688 409098024 434990304 477281028 484003296 545464032 579987072 613647036 636374704 645337728 715921542 727285376 818196048 869980608 954562056 968006592 1073882313 1090928064 1227294072 1272749408 1431843084 1636392096 1739961216 1909124112 1936013184 2147764626 2181856128 2454588144 2545498816 2863686168 3272784192 3818248224 4295529252 4909176288 5090997632 5727372336 6545568384 7636496448 8591058504 9818352576 11454744672 15272992896 17182117008 19636705152 22909489344 34364234016 45818978688 68728468032 137456936064
• Sum of all divisors σ(n): 476596224000
• Sum of proper divisors (its aliquot sum) s(n): 339139287936
• 137456936064 is an abundant number, because the sum of its proper divisors (339139287936) is greater than itself. Its abundance is 201682351872

Bases of 137456936064

• Binary: 10000000000001000100100110010010000000₂
• Hexadecimal: 0x2001126480
• Base-36: 1R5AB6O0

Squares and roots of 137456936064

• 137456936064 squared (137456936064²) is 18894409272102583812096
• 137456936064 cubed (137456936064³) is 2597167607282453641908481261830144
• The square root of 137456936064 is 370751.8524080495
• The cube root of 137456936064 is 5160.8616841119

Scales and comparisons

• 137,456,936,064 seconds is equal to 4,370 years, 36 weeks, 4 days, 18 hours, 14 minutes, 24 seconds.
• To count from 1 to 137,456,936,064 would take you about eight thousand, seven hundred forty-one 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 137456936064 cubic inches would be around 430.1 feet tall.

Recreational maths with 137456936064

• 137456936064 backwards is 460639654731
• 137456936064 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137456936064's digits is 54
• More coming soon!