137972998393303509504

Names of 137972998393303509504

• Cardinal: 137972998393303509504 can be written as One hundred thirty-seven quintillion, nine hundred seventy-two quadrillion, nine hundred ninety-eight trillion, three hundred ninety-three billion, three hundred three million, five hundred nine thousand, five hundred four.

Scientific notation

• Scientific notation: 1.37972998393303509504 × 10²⁰

Factors of 137972998393303509504

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 58349409216

Divisors of 137972998393303509504

• Number of divisors d(n): 240
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 619 768 829 1152 1238 1536 1658 1857 2304 2476 2487 3316 3714 4608 4952 4974 5571 6632 7428 7461 9904 9948 11142 13264 14856 14922 19808 19896 22284 26528 29712 29844 39616 39792 44568 53056 59424 59688 79232 79584 89136 106112 118848 119376 158464 159168 178272 212224 237696 238752 316928 318336 356544 424448 475392 477504 513151 636672 713088 950784 955008 1026302 1273344 1426176 1539453 1910016 2052604 2852352 3078906 3820032 4105208 4618359 6157812 8210416 9236718 12315624 16420832 18473436 24631248 32841664 36946872 49262496 65683328 73893744 98524992 131366656 147787488 197049984 262733312 295574976 394099968 591149952 788199936 1182299904 2364599808 58349407763 116698815526 175048223289 233397631052 350096446578 466795262104 525144669867 700192893156 933590524208 1050289339734 1400385786312 1867181048416 2100578679468 2800771572624 3734362096832 4201157358936 5601543145248 7468724193664 8402314717872 11203086290496 14937448387328 16804629435744 22406172580992 29874896774656 33609258871488 36118283405297 44812345161984 48371659035527 67218517742976 72236566810594 89624690323968 96743318071054 108354850215891 134437035485952 144473133621188 145114977106581 193486636142108 216709700431782 268874070971904 288946267242376 290229954213162 325064550647673 386973272284216 433419400863564 435344931319743 577892534484752 580459908426324 650129101295346 773946544568432 866838801727128 870689862639486 1155785068969504 1160919816852648 1300258202590692 1547893089136864 1733677603454256 1741379725278972 2311570137939008 2321839633705296 2600516405181384 3095786178273728 3467355206908512 3482759450557944 4623140275878016 4643679267410592 5201032810362768 6191572356547456 6934710413817024 6965518901115888 9246280551756032 9287358534821184 10402065620725536 12383144713094912 13869420827634048 13931037802231776 18492561103512064 18574717069642368 20804131241451072 24766289426189824 27738841655268096 27862075604463552 29942056942991213 37149434139284736 41608262482902144 55477683310536192 55724151208927104 59884113885982426 74298868278569472 83216524965804288 89826170828973639 111448302417854208 119768227771964852 166433049931608576 179652341657947278 222896604835708416 239536455543929704 269478512486920917 359304683315894556 479072911087859408 538957024973841834 718609366631789112 958145822175718816 1077914049947683668 1437218733263578224 1916291644351437632 2155828099895367336 2874437466527156448 3832583288702875264 4311656199790734672 5748874933054312896 7665166577405750528 8623312399581469344 11497749866108625792 15330333154811501056 17246624799162938688 22995499732217251584 34493249598325877376 45990999464434503168 68986499196651754752 137972998393303509504
• Sum of all divisors σ(n): 399323823024978165600
• Sum of proper divisors (its aliquot sum) s(n): 261350824631674656096
• 137972998393303509504 is an abundant number, because the sum of its proper divisors (261350824631674656096) is greater than itself. Its abundance is 123377826238371146592

Bases of 137972998393303509504

• Binary: 1110111101011000010100011110000011011000100011001011010101000000000₂
• Hexadecimal: 0x77AC28F06C465AA00
• Base-36: T495E0KTLAPS0

Squares and roots of 137972998393303509504

• 137972998393303509504 squared (137972998393303509504²) is 19036548285638532815064396572163018326016
• 137972998393303509504 cubed (137972998393303509504³) is 2626529646028449966399803955860550754761111615991560026456064
• The square root of 137972998393303509504 is 11746190803.5457822417
• The cube root of 137972998393303509504 is 5167312.1897204193

Scales and comparisons

• 137,972,998,393,303,509,504 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 137,972,998,393,303,509,504 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 137972998393303509504 cubic inches would be around 430609.3 feet tall.

Recreational maths with 137972998393303509504

• 137972998393303509504 backwards is 405905303393899279731
• The number of decimal digits it has is: 21
• The sum of 137972998393303509504's digits is 99
• More coming soon!