137978465625

Names of 137978465625

• Cardinal: 137978465625 can be written as One hundred thirty-seven billion, nine hundred seventy-eight million, four hundred sixty-five thousand, six hundred twenty-five.

Scientific notation

• Scientific notation: 1.37978465625 × 10¹¹

Factors of 137978465625

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 68

Divisors of 137978465625

• Number of divisors d(n): 576
• Complete list of divisors:
  1 3 5 7 9 11 13 15 21 25 29 33 35 39 45 55 63 65 75 77 87 91 99 105 117 125 143 145 165 169 175 195 203 225 231 261 273 275 315 319 325 375 377 385 429 435 455 495 507 525 585 609 625 693 715 725 819 825 845 875 957 975 1001 1015 1125 1131 1155 1183 1287 1305 1365 1375 1521 1575 1595 1625 1827 1859 1875 1885 1925 2145 2175 2197 2233 2275 2475 2535 2625 2639 2871 2925 3003 3045 3125 3393 3465 3549 3575 3625 4095 4125 4147 4225 4375 4785 4875 4901 5005 5075 5577 5625 5655 5775 5915 6435 6525 6591 6699 6825 6875 7605 7875 7917 7975 8125 9009 9135 9295 9375 9425 9625 10647 10725 10875 10985 11165 11375 12375 12441 12675 13013 13125 13195 14355 14625 14703 15015 15225 15379 16731 16965 17325 17745 17875 18125 19773 20097 20475 20625 20735 21125 21875 23751 23925 24167 24375 24505 25025 25375 27885 28125 28275 28875 29029 29575 32175 32625 32955 33495 34125 34307 34375 37323 38025 39039 39375 39585 39875 40625 44109 45045 45675 46137 46475 47125 48125 53235 53625 53911 54375 54925 55825 56875 61875 62205 63375 63713 65065 65625 65975 71775 72501 73125 73515 75075 76125 76895 83655 84825 86625 87087 88725 89375 90625 98865 100485 102375 102921 103125 103675 105625 117117 118755 119625 120835 121875 122525 125125 126875 138411 139425 141375 144375 145145 147875 160875 161733 163125 164775 167475 169169 170625 171535 186615 190125 191139 195195 196875 197925 199375 217503 220545 225225 228375 230685 232375 235625 240625 261261 266175 268125 269555 271875 274625 279125 284375 308763 309375 311025 316875 318565 325325 329875 358875 362505 365625 367575 375375 377377 380625 384475 418275 424125 433125 435435 443625 445991 446875 485199 494325 502425 507507 511875 514605 518375 528125 573417 585585 593775 598125 604175 612625 625625 634375 692055 697125 700843 706875 721875 725725 739375 804375 808665 815625 823875 837375 845845 853125 857675 933075 950625 955695 975975 989625 996875 1087515 1102725 1126125 1132131 1141875 1153425 1161875 1178125 1306305 1330875 1337973 1340625 1347775 1373125 1395625 1522521 1543815 1555125 1584375 1592825 1626625 1649375 1794375 1812525 1837875 1876875 1886885 1903125 1922375 2091375 2102529 2120625 2165625 2177175 2218125 2229955 2425995 2471625 2512125 2537535 2559375 2573025 2591875 2867085 2927925 2968875 2990625 3020875 3063125 3128125 3396393 3460275 3485625 3504215 3534375 3628625 3696875 4013919 4021875 4043325 4119375 4186875 4229225 4288375 4665375 4753125 4778475 4879875 4905901 4948125 5437575 5513625 5630625 5660655 5709375 5767125 5809375 6307587 6531525 6654375 6689865 6738875 6865625 6978125 7612605 7719075 7775625 7964125 8133125 8246875 8971875 9062625 9189375 9384375 9434425 9611875 10456875 10512645 10603125 10885875 11090625 11149775 12129975 12358125 12560625 12687675 12865125 12959375 14335425 14639625 14717703 14844375 15104375 15315625 16981965 17301375 17428125 17521075 18143125 20069595 20216625 20596875 20934375 21146125 21441875 23326875 23892375 24399375 24529505 24740625 27187875 27568125 28153125 28303275 28835625 31537935 32657625 33271875 33449325 33694375 38063025 38595375 38878125 39820625 40665625 44153109 45313125 45946875 47172125 48059375 52284375 52563225 54429375 55748875 60649875 61790625 62803125 63438375 64325625 71677125 73198125 73588515 74221875 75521875 84909825 86506875 87605375 90715625 100347975 101083125 105730625 107209375 116634375 119461875 121996875 122647525 135939375 137840625 141516375 144178125 157689675 163288125 167246625 168471875 190315125 192976875 199103125 220765545 226565625 235860625 262816125 272146875 278744375 303249375 317191875 321628125 358385625 365990625 367942575 424549125 432534375 438026875 501739875 505415625 528653125 597309375 613237625 679696875 707581875 788448375 816440625 836233125 951575625 964884375 1103827725 1179303125 1314080625 1393721875 1516246875 1585959375 1791928125 1839712875 2122745625 2190134375 2508699375 3066188125 3537909375 3942241875 4181165625 4757878125 5519138625 6570403125 9198564375 10613728125 12543496875 15330940625 19711209375 27595693125 45992821875 137978465625
• Sum of all divisors σ(n): 348052723200
• Sum of proper divisors (its aliquot sum) s(n): 210074257575
• 137978465625 is an abundant number, because the sum of its proper divisors (210074257575) is greater than itself. Its abundance is 72095791950

Bases of 137978465625

• Binary: 10000000100000001010000100110101011001₂
• Hexadecimal: 0x2020284D59
• Base-36: 1RDWTDG9

Squares and roots of 137978465625

• 137978465625 squared (137978465625²) is 19038056976229306640625
• 137978465625 cubed (137978465625³) is 2626841890061446828431060791015625
• The square root of 137978465625 is 371454.5269948933
• The cube root of 137978465625 is 5167.3804410453

Scales and comparisons

• 137,978,465,625 seconds is equal to 4,387 years, 14 weeks, 6 days, 23 hours, 33 minutes, 45 seconds.
• To count from 1 to 137,978,465,625 would take you about eight thousand, seven hundred seventy-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 137978465625 cubic inches would be around 430.6 feet tall.

Recreational maths with 137978465625

• 137978465625 backwards is 526564879731
• 137978465625 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137978465625's digits is 63
• More coming soon!