137154779120007168

Names of 137154779120007168

• Cardinal: 137154779120007168 can be written as One hundred thirty-seven quadrillion, one hundred fifty-four trillion, seven hundred seventy-nine billion, one hundred twenty million, seven thousand, one hundred sixty-eight.

Scientific notation

• Scientific notation: 1.37154779120007168 × 10¹⁷

Factors of 137154779120007168

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 100819

Divisors of 137154779120007168

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 256 312 338 384 416 507 512 624 676 768 832 1014 1024 1248 1352 1536 1664 2028 2048 2197 2496 2704 3072 3328 4056 4394 4992 5408 6144 6591 6656 8112 8788 9984 10816 13182 13312 16224 17576 19968 21632 26364 26624 32448 35152 39936 43264 52728 64896 70304 79872 86528 100801 105456 129792 140608 173056 201602 210912 259584 281216 302403 346112 403204 421824 519168 562432 604806 806408 843648 1038336 1124864 1209612 1310413 1612816 1687296 2249728 2419224 2620826 3225632 3374592 3931239 4499456 4838448 5241652 6451264 6749184 7862478 9676896 10483304 12902528 13498368 15724956 17035369 19353792 20966608 25805056 31449912 34070738 38707584 41933216 51106107 51610112 62899824 68141476 77415168 83866432 102212214 103220224 125799648 136282952 154830336 167732864 204424428 206440448 221459797 251599296 272565904 309660672 335465728 408848856 442919594 503198592 545131808 619321344 664379391 670931456 817697712 885839188 1006397184 1090263616 1328758782 1341862912 1635395424 1771678376 2012794368 2180527232 2657517564 2683725824 3270790848 3543356752 4025588736 4361054464 5315035128 6541581696 7086713504 8051177472 8722108928 10160841601 10630070256 13083163392 14173427008 17444217856 20321683202 21260140512 26166326784 28346854016 30482524803 34888435712 40643366404 42520281024 52332653568 56693708032 60965049606 81286732808 85040562048 104665307136 113387416064 121930099212 132090940813 162573465616 170081124096 226774832128 243860198424 264181881626 325146931232 340162248192 396272822439 453549664256 487720396848 528363763252 650293862464 680324496384 792545644878 975440793696 1056727526504 1300587724928 1360648992768 1585091289756 1717182230569 1950881587392 2113455053008 2601175449856 3170182579512 3434364461138 3901763174784 4226910106016 5151546691707 5202350899712 6340365159024 6868728922276 7803526349568 8453820212032 10303093383414 10404701799424 12680730318048 13737457844552 15607052699136 16907640424064 20606186766828 20809403598848 22323368997397 25361460636096 27474915689104 31214105398272 33815280848128 41212373533656 44646737994794 50722921272192 54949831378208 62428210796544 66970106992191 67630561696256 82424747067312 89293475989588 101445842544384 109899662756416 133940213984382 135261123392512 164849494134624 178586951979176 202891685088768 219799325512832 267880427968764 270522246785024 329698988269248 357173903958352 405783370177536 439598651025664 535760855937528 659397976538496 714347807916704 811566740355072 879197302051328 1071521711875056 1318795953076992 1428695615833408 1758394604102656 2143043423750112 2637591906153984 2857391231666816 3516789208205312 4286086847500224 5275183812307968 5714782463333632 8572173695000448 10550367624615936 11429564926667264 17144347390000896 22859129853334528 34288694780001792 45718259706669056 68577389560003584 137154779120007168
• Sum of all divisors σ(n): 396118243015513200
• Sum of proper divisors (its aliquot sum) s(n): 258963463895506032
• 137154779120007168 is an abundant number, because the sum of its proper divisors (258963463895506032) is greater than itself. Its abundance is 121808684775498864

Bases of 137154779120007168

• Binary: 111100111010001011000101110000000101100011111100000000000₂
• Hexadecimal: 0x1E7458B80B1F800
• Base-36: 11IHB7OWLGQO

Squares and roots of 137154779120007168

• 137154779120007168 squared (137154779120007168²) is 18811433435457954225313464371380224
• 137154779120007168 cubed (137154779120007168³) is 2580077997770953328174804281234531319168736933445632
• The square root of 137154779120007168 is 370344136.0680727289
• The cube root of 137154779120007168 is 515707.7385672057

Scales and comparisons

• 137,154,779,120,007,168 seconds is equal to 4,361,097,728 years, 22 weeks, 2 days, 5 hours, 32 minutes, 48 seconds.
• To count from 1 to 137,154,779,120,007,168 would take you about thirteen billion, eighty-three million, two hundred ninety-three thousand, one hundred eighty-five 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 137154779120007168 cubic inches would be around 42975.6 feet tall.

Recreational maths with 137154779120007168

• 137154779120007168 backwards is 861700021977451731
• The number of decimal digits it has is: 18
• The sum of 137154779120007168's digits is 69
• More coming soon!