137446345985910948

Names of 137446345985910948

• Cardinal: 137446345985910948 can be written as One hundred thirty-seven quadrillion, four hundred forty-six trillion, three hundred forty-five billion, nine hundred eighty-five million, nine hundred ten thousand, nine hundred forty-eight.

Scientific notation

• Scientific notation: 1.37446345985910948 × 10¹⁷

Factors of 137446345985910948

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 882

Divisors of 137446345985910948

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 839 868 961 1116 1302 1678 1922 1953 2517 2604 2883 3356 3844 3906 5034 5766 5873 6727 7551 7812 8649 10068 11532 11746 13454 15102 17298 17619 20181 23492 26009 26908 29791 30204 34596 35238 40362 52018 52857 59582 60543 70476 78027 80724 89373 104036 105714 119164 121086 156054 178746 182063 208537 211428 234081 242172 268119 312108 357492 364126 417074 468162 536238 546189 625611 703921 728252 806279 834148 923521 936324 1072476 1092378 1251222 1407842 1612558 1638567 1847042 1876833 2111763 2184756 2418837 2502444 2770563 2815684 3225116 3277134 3694084 3753666 4223526 4837674 4927447 5541126 5643953 6335289 6464647 6554268 7256511 7507332 8311689 8447052 9675348 9854894 11082252 11287906 12670578 12929294 14513022 14782341 16623378 16931859 19393941 19709788 21821551 22575812 24994649 25341156 25858588 29026044 29564682 33246756 33863718 38787882 43643102 44347023 49989298 50795577 58181823 59129364 65464653 67727436 74983947 77575764 87286204 88694046 99978596 101591154 116363646 130929306 149967894 152750857 174962543 177388092 196393959 203182308 224951841 232727292 261858612 299935788 305501714 349925086 392787918 449903682 458252571 524887629 590589719 611003428 676468081 699850172 774834119 785575836 899807364 916505142 1049775258 1181179438 1352936162 1374757713 1549668238 1574662887 1771769157 1833010284 2029404243 2099550516 2324502357 2362358876 2705872324 2749515426 3099336476 3149325774 3543538314 4058808486 4134128033 4649004714 4735276567 5315307471 5423838833 5499030852 6088212729 6298651548 6973507071 7087076628 8117616972 8268256066 9298009428 9470553134 10630614942 10847677666 12176425458 12402384099 13947014142 14205829701 16271516499 16536512132 18308281289 18941106268 20970510511 21261229884 21695355332 24352850916 24804768198 27894028284 28411659402 32543032998 36616562578 37207152297 41941021022 42617489103 48814549497 49609536396 54924843867 56823318804 62911531533 65086065996 73233125156 74414304594 83882042044 85234978206 97629098994 109849687734 125823063066 128157969023 146793573577 148828609188 164774531601 170469956412 188734594599 195258197988 219699375468 251646126132 256315938046 293587147154 329549063202 377469189198 384473907069 440380720731 512631876092 567556719959 587174294308 650085825841 659098126404 754938378396 768947814138 880761441462 1135113439918 1153421721207 1300171651682 1321142162193 1537895628276 1702670159877 1761522882924 1950257477523 2270226879836 2306843442414 2600343303364 2642284324386 3405340319754 3900514955046 3972897039713 4550600780887 4613686884828 5108010479631 5284568648772 5850772432569 6810680639508 7801029910092 7945794079426 9101201561774 10216020959262 11701544865138 11918691119139 13651802342661 15891588158852 17594258318729 18202403123548 20432041918524 23403089730276 23837382238278 27303604685322 35188516637458 35756073357417 40955407027983 47674764476556 52782774956187 54607209370644 70377033274916 71512146714834 81910814055966 105565549912374 123159808231103 143024293429668 158348324868561 163821628111932 211131099824748 246319616462206 316696649737122 369479424693309 492639232924412 545422007880599 633393299474244 738958849386618 1090844015761198 1108438274079927 1477917698773236 1636266023641797 2181688031522396 2216876548159854 3272532047283594 3817954055164193 4433753096319708 4908798070925391 6545064094567188 7635908110328386 9817596141850782 11453862165492579 15271816220656772 19635192283701564 22907724330985158 34361586496477737 45815448661970316 68723172992955474 137446345985910948
• Sum of all divisors σ(n): 410792402920099200
• Sum of proper divisors (its aliquot sum) s(n): 273346056934188252
• 137446345985910948 is an abundant number, because the sum of its proper divisors (273346056934188252) is greater than itself. Its abundance is 135899710948277304

Bases of 137446345985910948

• Binary: 111101000010011101011100100110100001010100110100010100100₂
• Hexadecimal: 0x1E84EB9342A68A4
• Base-36: 11LCNVNSISH0

Squares and roots of 137446345985910948

• 137446345985910948 squared (137446345985910948²) is 18891498024878738568190517386258704
• 137446345985910948 cubed (137446345985910948³) is 2596567373719636411256644605209087730133681033891392
• The square root of 137446345985910948 is 370737570.2379122891
• The cube root of 137446345985910948 is 516072.9144827379

Scales and comparisons

• 137,446,345,985,910,948 seconds is equal to 4,370,368,652 years, 46 weeks, 1 day, 17 hours, 55 minutes, 48 seconds.
• To count from 1 to 137,446,345,985,910,948 would take you about thirteen billion, one hundred eleven million, one hundred five thousand, nine hundred fifty-eight 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 137446345985910948 cubic inches would be around 43006.1 feet tall.

Recreational maths with 137446345985910948

• 137446345985910948 backwards is 849019589543644731
• The number of decimal digits it has is: 18
• The sum of 137446345985910948's digits is 90
• More coming soon!