137979829834707390416

Names of 137979829834707390416

• Cardinal: 137979829834707390416 can be written as One hundred thirty-seven quintillion, nine hundred seventy-nine quadrillion, eight hundred twenty-nine trillion, eight hundred thirty-four billion, seven hundred seven million, three hundred ninety thousand, four hundred sixteen.

Scientific notation

• Scientific notation: 1.37979829834707390416 × 10²⁰

Factors of 137979829834707390416

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 183844

Divisors of 137979829834707390416

• Number of divisors d(n): 270
• Complete list of divisors:
  1 2 4 8 16 37 43 74 86 101 148 172 202 296 344 404 592 688 808 1369 1591 1616 1849 2738 3182 3698 3737 4343 5476 6364 7396 7474 8686 10952 12728 14792 14948 17372 21904 25456 29584 29896 34744 58867 59792 68413 69488 117734 136826 138269 160691 183661 186749 235468 273652 276538 321382 367322 373498 470936 547304 553076 642764 734644 746996 941872 1094608 1106152 1285528 1469288 1493992 2212304 2531281 2571056 2938576 2987984 5062562 5945567 6795457 6909713 7897423 10125124 11891134 13590914 13819426 15794846 18549761 20250248 23782268 27181828 27638852 31589692 37099522 40500496 47564536 54363656 55277704 63179384 74199044 95129072 108727312 110555408 126358768 148398088 251431909 255659381 292204651 296796176 339589189 502863818 511318762 584409302 679178378 686341157 797639723 1005727636 1022637524 1168818604 1358356756 1372682314 1595279446 2011455272 2045275048 2337637208 2716713512 2745364628 3190558892 4022910544 4090550096 4675274416 5433427024 5490729256 6381117784 10811572087 10981458512 12564799993 12762235568 21623144174 25129599986 25394622809 29512669751 33731362921 34298508089 43246288348 50259199972 50789245618 59025339502 67462725842 68597016178 86492576696 100518399944 101578491236 118050679004 134925451684 137194032356 172985153392 201036799888 203156982472 236101358008 269850903368 274388064712 406313964944 464897599741 472202716016 539701806736 548776129424 929795199482 1091968780787 1248060428077 1269044799293 1450448605603 1859590398964 2183937561574 2496120856154 2538089598586 2900897211206 3406867655021 3719180797928 4367875123148 4992241712308 5076179197172 5801794422412 6813735310042 7438361595856 8735750246296 9984483424616 10152358394344 11603588844824 13627470620084 17471500492592 19968966849232 20304716788688 23207177689648 27254941240168 46178235838849 46954657573841 53666598407311 54509882480336 62369290040929 92356471677698 93909315147682 107333196814622 124738580081858 126054103235777 146495309165903 184712943355396 187818630295364 214666393629244 249477160163716 252108206471554 292990618331806 369425886710792 375637260590728 429332787258488 498954320327432 504216412943108 585981236663612 738851773421584 751274521181456 858665574516976 997908640654864 1008432825886216 1171962473327224 1985664141070507 2016865651772432 2307663731514373 2343924946654448 3971328282141014 4615327463028746 4664001819723749 5420326439138411 6299298294133829 7942656564282028 9230654926057492 9328003639447498 10840652878276822 12598596588267658 15885313128564056 18461309852114984 18656007278894996 21681305756553644 25197193176535316 31770626257128112 36922619704229968 37312014557789992 43362611513107288 50394386353070632 74624029115579984 85383558066031801 86725223026214576 100788772706141264 170767116132063602 200552078248121207 233074036882951673 341534232264127204 401104156496242414 466148073765903346 683068464528254408 802208312992484828 932296147531806692 1366136929056508816 1604416625984969656 1864592295063613384 3208833251969939312 3729184590127226768 8623739364669211901 17247478729338423802 34494957458676847604 68989914917353695208 137979829834707390416
• Sum of all divisors σ(n): 284081420513555944146
• Sum of proper divisors (its aliquot sum) s(n): 146101590678848553730
• 137979829834707390416 is an abundant number, because the sum of its proper divisors (146101590678848553730) is greater than itself. Its abundance is 8121760844141163314

Bases of 137979829834707390416

• Binary: 1110111101011011010110101000010111110101010100101000100111111010000₂
• Hexadecimal: 0x77ADAD42FAA944FD0
• Base-36: T4B0NK5OEKTE8

Squares and roots of 137979829834707390416

• 137979829834707390416 squared (137979829834707390416²) is 19038433441214807686008265343088648653056
• 137979829834707390416 cubed (137979829834707390416³) is 2626919806538221812108425009111256753326166045968267123511296
• The square root of 137979829834707390416 is 11746481593.8521518809
• The cube root of 137979829834707390416 is 5167397.4711601743

Scales and comparisons

• 137,979,829,834,707,390,416 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 137,979,829,834,707,390,416 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 137979829834707390416 cubic inches would be around 430616.5 feet tall.

Recreational maths with 137979829834707390416

• 137979829834707390416 backwards is 614093707438928979731
• The number of decimal digits it has is: 21
• The sum of 137979829834707390416's digits is 107
• More coming soon!