137317504730298048

Names of 137317504730298048

• Cardinal: 137317504730298048 can be written as One hundred thirty-seven quadrillion, three hundred seventeen trillion, five hundred four billion, seven hundred thirty million, two hundred ninety-eight thousand and forty-eight.

Scientific notation

• Scientific notation: 1.37317504730298048 × 10¹⁷

Factors of 137317504730298048

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 926

Divisors of 137317504730298048

• Number of divisors d(n): 420
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 62 64 72 78 93 96 104 117 124 144 156 186 192 208 234 248 279 288 312 372 403 416 468 496 558 576 624 744 806 832 877 936 992 1116 1209 1248 1488 1612 1754 1872 1984 2232 2418 2496 2631 2976 3224 3508 3627 3744 4464 4836 5262 5952 6448 7016 7254 7488 7893 8928 9672 10524 11401 12896 14032 14508 15786 17856 19344 21048 22802 25792 27187 28064 29016 31572 34203 38688 42096 45604 54374 56128 58032 63144 68406 77376 81561 84192 91208 102609 108748 116064 126288 136812 163122 168384 182416 205218 217496 232128 244683 252576 273624 326244 353431 364832 410436 434992 489366 505152 547248 652488 706862 729664 769129 820872 869984 978732 1060293 1094496 1304976 1413724 1538258 1641744 1739968 1957464 2120586 2188992 2307387 2609952 2827448 3076516 3180879 3283488 3914928 4241172 4614774 5219904 5654896 6153032 6361758 6566976 6922161 7829856 8482344 9229548 9998677 11309792 12306064 12723516 13844322 15659712 16964688 18459096 19997354 22619584 23842999 24612128 25447032 27688644 29996031 33929376 36918192 39994708 47685998 49224256 50894064 55377288 59992062 67858752 71528997 73836384 79989416 89988093 95371996 101788128 110754576 119984124 143057994 147672768 159978832 179976186 190743992 203576256 214586991 221509152 239968248 286115988 309958987 319957664 359952372 381487984 429173982 443018304 479936496 572231976 619917974 639915328 674526133 719904744 762975968 858347964 929876961 959872992 1144463952 1239835948 1349052266 1439809488 1525951936 1716695928 1859753922 1919745984 2023578399 2288927904 2479671896 2698104532 2789630883 2879618976 3433391856 3719507844 4047156798 4577855808 4959343792 5396209064 5579261766 5759237952 6070735197 6866783712 7439015688 8094313596 8768839729 9918687584 10792418128 11158523532 12141470394 13733567424 14878031376 16188627192 17537679458 19837375168 20910310123 21584836256 22317047064 24282940788 26306519187 29756062752 32377254384 35075358916 41820620246 43169672512 44634094128 48565881576 52613038374 59512125504 62730930369 64754508768 70150717832 78919557561 83641240492 89268188256 97131763152 105226076748 125461860738 129509017536 140301435664 157839115122 167282480984 178536376512 188192791107 194263526304 210452153496 250923721476 271834031599 280602871328 315678230244 334564961968 376385582214 388527052608 420904306992 501847442952 543668063198 561205742656 591559418641 631356460488 669129923936 752771164428 815502094797 841808613984 1003694885904 1087336126396 1183118837282 1262712920976 1338259847872 1505542328856 1631004189594 1683617227968 1774678255923 2007389771808 2174672252792 2366237674564 2446506284391 2525425841952 3011084657712 3262008379188 3549356511846 4014779543616 4349344505584 4732475349128 4893012568782 5050851683904 5324034767769 6022169315424 6524016758376 7098713023692 7690272442333 8698689011168 9464950698256 9786025137564 10648069535538 12044338630848 13048033516752 14197426047384 15380544884666 17397378022336 18338341977871 18929901396512 19572050275128 21296139071076 23070817326999 26096067033504 28394852094768 30761089769332 36676683955742 37859802793024 39144100550256 42592278142152 46141634653998 52192134067008 55015025933613 56789704189536 61522179538664 69212451980997 73353367911484 78288201100512 85184556284304 92283269307996 110030051867226 113579408379072 123044359077328 138424903961994 146706735822968 156576402201024 165045077800839 170369112568608 184566538615992 220060103734452 238398445712323 246088718154656 276849807923988 293413471645936 330090155601678 340738225137216 369133077231984 440120207468904 476796891424646 492177436309312 553699615847976 586826943291872 660180311203356 715195337136969 738266154463968 880240414937808 953593782849292 1107399231695952 1173653886583744 1320360622406712 1430390674273938 1476532308927936 1760480829875616 1907187565698584 2145586011410907 2214798463391904 2640721244813424 2860781348547876 3520961659751232 3814375131397168 4291172022821814 4429596926783808 5281442489626848 5721562697095752 7628750262794336 8582344045643628 10562884979253696 11443125394191504 15257500525588672 17164688091287256 22886250788383008 34329376182574512 45772501576766016 68658752365149024 137317504730298048
• Sum of all divisors σ(n): 438045222318337088
• Sum of proper divisors (its aliquot sum) s(n): 300727717588039040
• 137317504730298048 is an abundant number, because the sum of its proper divisors (300727717588039040) is greater than itself. Its abundance is 163410212857740992

Bases of 137317504730298048

• Binary: 111100111110110011000101100000010111001000111011011000000₂
• Hexadecimal: 0x1E7D98B02E476C0
• Base-36: 11K2ZQSZIGG0

Squares and roots of 137317504730298048

• 137317504730298048 squared (137317504730298048²) is 18856097105355426788199622912610304
• 137317504730298048 cubed (137317504730298048³) is 2589272203459603148349827401729951117376595595886592
• The square root of 137317504730298048 is 370563766.0785226421
• The cube root of 137317504730298048 is 515911.6096747709

Scales and comparisons

• 137,317,504,730,298,048 seconds is equal to 4,366,271,899 years, 25 weeks, 4 days, 11 hours, 40 minutes, 48 seconds.
• To count from 1 to 137,317,504,730,298,048 would take you about thirteen billion, ninety-eight million, eight hundred fifteen thousand, six hundred ninety-eight 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 137317504730298048 cubic inches would be around 42992.6 feet tall.

Recreational maths with 137317504730298048

• 137317504730298048 backwards is 840892037405713731
• 137317504730298048 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137317504730298048's digits is 72
• More coming soon!