137388175908056307

Names of 137388175908056307

• Cardinal: 137388175908056307 can be written as One hundred thirty-seven quadrillion, three hundred eighty-eight trillion, one hundred seventy-five billion, nine hundred eight million, fifty-six thousand, three hundred seven.

Scientific notation

• Scientific notation: 1.37388175908056307 × 10¹⁷

Factors of 137388175908056307

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 209

Divisors of 137388175908056307

• Number of divisors d(n): 270
• Complete list of divisors:
  1 3 9 13 27 39 81 117 169 193 243 351 507 579 729 1053 1521 1737 2187 2197 2509 3159 4563 5211 6561 6591 7527 9477 13689 15633 19683 19773 22581 28431 28561 32617 37249 41067 46899 59049 59319 67743 85293 85683 97851 111747 123201 140697 177147 177957 203229 255879 257049 293553 335241 369603 422091 424021 484237 531441 533871 609687 767637 771147 880659 1005723 1108809 1266273 1272063 1452711 1594323 1601613 1829061 2302911 2313441 2641977 3017169 3326427 3798819 3816189 4358133 4782969 4804839 5487183 5512273 6295081 6908733 6940323 7925931 9051507 9979281 11396457 11448567 13074399 14348907 14414517 16461549 16536819 18885243 20726199 20820969 23777793 27154521 29937843 34189371 34345701 39223197 43046721 43243551 49384647 49610457 56655729 62178597 62462907 71333379 81463563 81836053 89813529 102568113 103037103 117669591 129140163 129730653 148153941 148831371 169967187 186535791 187388721 214000137 244390689 245508159 269440587 307704339 309111309 353008773 389191959 444461823 446494113 509901561 559607373 562166163 642000411 733172067 736524477 808321761 923113017 927333927 1059026319 1063868689 1167575877 1333385469 1339482339 1529704683 1678822119 1686498489 1926001233 2199516201 2209573431 2424965283 2769339051 2782001781 3177078957 3191606067 3502727631 4000156407 4018447017 4589114049 5059495467 5778003699 6598548603 6628720293 7274895849 8308017153 8346005343 9531236871 9574818201 10508182893 12000469221 12055341051 13767342147 15178486401 17334011097 19795645809 19886160879 21824687547 24924051459 25038016029 28593710613 28724454603 31524548679 36001407663 36166023153 41302026441 45535459203 52002033291 59386937427 59658482637 75114048087 85781131839 86173363809 94573646037 108004222989 108498069459 123906079323 136606377609 156006099873 178160812281 178975447911 225342144261 257343395517 258520091427 283720938111 324012668967 325494208377 371718237969 409819132827 468018299619 534482436843 536926343733 676026432783 772030186551 775560274281 976482625131 1115154713907 1229457398481 1404054898857 1603447310529 1610779031199 2028079298349 2316090559653 2326680822843 2929447875393 3345464141721 3688372195443 4212164696571 4810341931587 4832337093597 6084237895047 6948271678959 6980042468529 8788343626179 10036392425163 14497011280791 18252713685141 20844815036877 20940127405587 26365030878537 30109177275489 43491033842373 54758141055423 62534445110631 62820382216761 79095092635611 90327531826467 130473101527119 188461146650283 237285277906833 270982595479401 391419304581357 565383439950849 711855833720499 812947786438203 1174257913744071 1696150319852547 3522773741232213 5088450959557641 10568321223696639 15265352878672923 45796058636018769 137388175908056307
• Sum of all divisors σ(n): 224417940181552572
• Sum of proper divisors (its aliquot sum) s(n): 87029764273496265
• 137388175908056307 is a deficient number, because the sum of its proper divisors (87029764273496265) is less than itself. Its deficiency is 50358411634560042

Bases of 137388175908056307

• Binary: 111101000000110011101000101101101010101101010110011110011₂
• Hexadecimal: 0x1E819D16D56ACF3
• Base-36: 11KS1KP22O6R

Squares and roots of 137388175908056307

• 137388175908056307 squared (137388175908056307²) is 18875510879343023456505706682478249
• 137388175908056307 cubed (137388175908056307³) is 2593272009045609893506059384319938241821995394766443
• The square root of 137388175908056307 is 370659110.1107003777
• The cube root of 137388175908056307 is 516000.1000391113

Scales and comparisons

• 137,388,175,908,056,307 seconds is equal to 4,368,519,024 years, 17 weeks, 6 days, 18 hours, 18 minutes, 27 seconds.
• To count from 1 to 137,388,175,908,056,307 would take you about thirteen billion, one hundred five million, five hundred fifty-seven thousand and seventy-three 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 137388175908056307 cubic inches would be around 43000 feet tall.

Recreational maths with 137388175908056307

• 137388175908056307 backwards is 703650809571883731
• 137388175908056307 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137388175908056307's digits is 81
• More coming soon!