137850621431300096

Names of 137850621431300096

• Cardinal: 137850621431300096 can be written as One hundred thirty-seven quadrillion, eight hundred fifty trillion, six hundred twenty-one billion, four hundred thirty-one million, three hundred thousand and ninety-six.

Scientific notation

• Scientific notation: 1.37850621431300096 × 10¹⁷

Factors of 137850621431300096

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 56

Divisors of 137850621431300096

• Number of divisors d(n): 420
• Complete list of divisors:
  1 2 4 8 11 16 22 32 43 44 64 86 88 121 128 172 176 242 256 344 352 473 484 512 688 704 946 968 1024 1331 1376 1408 1849 1892 1936 2048 2662 2752 2816 3698 3784 3872 4096 5203 5324 5504 5632 7396 7568 7744 8192 10406 10648 11008 11264 14792 15136 15488 16384 20339 20812 21296 22016 22528 29584 30272 30976 40678 41624 42592 44032 45056 57233 59168 60544 61952 79507 81356 83248 85184 88064 90112 114466 118336 121088 123904 159014 162712 166496 170368 176128 180224 223729 228932 236672 242176 247808 318028 325424 332992 340736 352256 447458 457864 473344 484352 495616 636056 650848 665984 681472 704512 874577 894916 915728 946688 968704 991232 1272112 1301696 1331968 1362944 1749154 1789832 1831456 1893376 1937408 1982464 2461019 2544224 2603392 2663936 2725888 3418801 3498308 3579664 3662912 3786752 3874816 4922038 5088448 5206784 5327872 5451776 6837602 6996616 7159328 7325824 7573504 7749632 9620347 9844076 10176896 10413568 10655744 10903552 13675204 13993232 14318656 14651648 15147008 19240694 19688152 20353792 20827136 21311488 21807104 27350408 27986464 28637312 29303296 30294016 37606811 38481388 39376304 40707584 41654272 42622976 54700816 55972928 57274624 58606592 75213622 76962776 78752608 81415168 83308544 85245952 105823817 109401632 111945856 114549248 117213184 147008443 150427244 153925552 157505216 162830336 166617088 211647634 218803264 223891712 229098496 234426368 294016886 300854488 307851104 315010432 325660672 333234176 413674921 423295268 437606528 447783424 458196992 468852736 588033772 601708976 615702208 630020864 651321344 827349842 846590536 875213056 895566848 916393984 937705472 1176067544 1203417952 1231404416 1260041728 1302642688 1617092873 1654699684 1693181072 1750426112 1791133696 1832787968 2352135088 2406835904 2462808832 2520083456 3234185746 3309399368 3386362144 3500852224 3582267392 3665575936 4550424131 4704270176 4813671808 4925617664 5040166912 6321363049 6468371492 6618798736 6772724288 7001704448 7164534784 9100848262 9408540352 9627343616 9851235328 10080333824 12642726098 12936742984 13237597472 13545448576 14003408896 14329069568 17788021603 18201696524 18817080704 19254687232 19702470656 20160667648 25285452196 25873485968 26475194944 27090897152 28006817792 35576043206 36403393048 37634161408 38509374464 39404941312 40321335296 50570904392 51746971936 52950389888 54181794304 56013635584 69534993539 71152086412 72806786096 75268322816 77018748928 78809882624 101141808784 103493943872 105900779776 108363588608 139069987078 142304172824 145613572192 150536645632 154037497856 157619765248 195668237633 202283617568 206987887744 211801559552 216727177216 278139974156 284608345648 291227144384 301073291264 308074995712 391336475266 404567235136 413975775488 423603119104 433454354432 556279948312 569216691296 582454288768 602146582528 616149991424 764884928929 782672950532 809134470272 827951550976 847206238208 866908708864 1112559896624 1138433382592 1164908577536 1204293165056 1529769857858 1565345901064 1618268940544 1655903101952 1694412476416 1733817417728 2225119793248 2276866765184 2329817155072 2408586330112 3059539715716 3130691802128 3236537881088 3311806203904 3388824952832 4450239586496 4553733530368 4659634310144 6119079431432 6261383604256 6473075762176 6623612407808 6777649905664 8413734218219 8900479172992 9107467060736 9319268620288 12238158862864 12522767208512 12946151524352 13247224815616 16827468436438 17800958345984 18214934121472 18638537240576 24476317725728 25045534417024 25892303048704 26494449631232 33654936872876 35601916691968 36429868242944 37277074481152 48952635451456 50091068834048 51784606097408 67309873745752 71203833383936 72859736485888 74554148962304 97905270902912 100182137668096 103569212194816 134619747491504 142407666767872 145719472971776 195810541805824 200364275336192 269239494983008 284815333535744 291438945943552 391621083611648 400728550672384 538478989966016 569630667071488 783242167223296 801457101344768 1076957979932032 1139261334142976 1566484334446592 1602914202689536 2153915959864064 3132968668893184 3205828405379072 4307831919728128 6265937337786368 8615663839456256 12531874675572736 17231327678912512 34462655357825024 68925310715650048 137850621431300096
• Sum of all divisors σ(n): 310461432135273384
• Sum of proper divisors (its aliquot sum) s(n): 172610810703973288
• 137850621431300096 is an abundant number, because the sum of its proper divisors (172610810703973288) is greater than itself. Its abundance is 34760189272673192

Bases of 137850621431300096

• Binary: 111101001101111100110100011101010011110101100000000000000₂
• Hexadecimal: 0x1E9BE68EA7AC000
• Base-36: 11PBYT8IMGOW

Squares and roots of 137850621431300096

• 137850621431300096 squared (137850621431300096²) is 19002793828995613327939004809609216
• 137850621431300096 cubed (137850621431300096³) is 2619546938257919906246284075045589449452052583284736
• The square root of 137850621431300096 is 371282401.1871557803
• The cube root of 137850621431300096 is 516578.3999356993
• Being both a perfect square and a perfect cube, 137850621431300096 is also a perfect sixth number.

Scales and comparisons

• 137,850,621,431,300,096 seconds is equal to 4,383,223,361 years, 28 weeks, 3 days, 14 minutes, 56 seconds.
• To count from 1 to 137,850,621,431,300,096 would take you about thirteen billion, one hundred forty-nine million, six hundred seventy thousand and eighty-four 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 137850621431300096 cubic inches would be around 43048.2 feet tall.

Recreational maths with 137850621431300096

• 137850621431300096 backwards is 690003134126058731
• The number of decimal digits it has is: 18
• The sum of 137850621431300096's digits is 59
• More coming soon!