138752018451505948840

Names of 138752018451505948840

• Cardinal: 138752018451505948840 can be written as One hundred thirty-eight quintillion, seven hundred fifty-two quadrillion, eighteen trillion, four hundred fifty-one billion, five hundred five million, nine hundred forty-eight thousand, eight hundred forty.

Scientific notation

• Scientific notation: 1.3875201845150594884 × 10²⁰

Factors of 138752018451505948840

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 37665368

Divisors of 138752018451505948840

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 4 5 8 10 13 20 26 40 52 65 71 104 130 142 193 260 284 355 386 520 568 710 772 923 965 1420 1544 1846 1930 2509 2840 3692 3860 4615 5018 7384 7720 9230 10036 12545 13703 18460 20072 25090 27406 36920 50180 54812 68515 100360 109624 137030 178139 274060 356278 524287 548120 712556 890695 1048574 1425112 1781390 2097148 2621435 3562780 4194296 5242870 6815731 7125560 10485740 13631462 20971480 27262924 34078655 37140797 37224377 54525848 68157310 74281594 74448754 101187391 136314620 148563188 148897508 185703985 186121885 202374782 272629240 297126376 297795016 371407970 372243770 404749564 482830361 483916901 505936955 742815940 744487540 809499128 965660722 967833802 1011873910 1315436083 1485631880 1488975080 1931321444 1935667604 2023747820 2414151805 2419584505 2630872166 2636996587 3862642888 3871335208 4047495640 4828303610 4839169010 5261744332 5273993174 6577180415 7168173821 7184304761 9656607220 9678338020 10523488664 10547986348 13154360830 13184982935 14336347642 14368609522 19313214440 19356676040 21095972696 26308721660 26369965870 28672695284 28737219044 34280955631 35840869105 35921523805 52617443320 52739931740 57345390568 57474438088 68561911262 71681738210 71843047610 93186259673 93395961893 105479863480 137123822524 143363476420 143686095220 171404778155 186372519346 186791923786 274247645048 286726952840 287372190440 342809556310 372745038692 373583847572 465931298365 466979809465 508940341291 685619112620 745490077384 747167695144 931862596730 933959618930 1017880682582 1371238225240 1863725193460 1867919237860 2035761365164 2544701706455 3727450386920 3735838475720 4071522730328 5089403412910 6616224436783 10178806825820 13232448873566 19472437036739 20357613651640 26464897747132 33081122183915 38944874073478 52929795494264 66162244367830 77889748146956 97362185183695 132324488735660 155779496293912 194724370367390 253141681477607 264648977471320 389448740734780 506283362955214 778897481469560 1012566725910428 1265708407388035 1382543029608469 2025133451820856 2531416814776070 2765086059216938 3758180348090627 5062833629552140 5530172118433876 6912715148042345 7516360696181254 10125667259104280 11060344236867752 13825430296084690 15032721392362508 17973059384910097 18790901740453135 27650860592169380 30065442784725016 35946118769820194 37581803480906270 48856344525178151 55301721184338760 71892237539640388 75163606961812540 89865296924550485 97712689050356302 143784475079280776 150327213923625080 179730593849100970 195425378100712604 244281722625890755 266830804714434517 359461187698201940 390850756201425208 488563445251781510 533661609428869034 718922375396403880 977126890503563020 1067323218857738068 1334154023572172585 1954253781007126040 2134646437715476136 2668308047144345170 3468800461287648721 5336616094288690340 6937600922575297442 10673232188577380680 13875201845150594884 17344002306438243605 27750403690301189768 34688004612876487210 69376009225752974420 138752018451505948840
• Sum of all divisors σ(n): 342709323560197816320
• Sum of proper divisors (its aliquot sum) s(n): 203957305108691867480
• 138752018451505948840 is an abundant number, because the sum of its proper divisors (203957305108691867480) is greater than itself. Its abundance is 65205286657185918640

Bases of 138752018451505948840

• Binary: 1111000010110010010001100011010010001010110011101010010100010101000₂
• Hexadecimal: 0x7859231A4567528A8
• Base-36: TA67XKV0H6D2G

Squares and roots of 138752018451505948840

• 138752018451505948840 squared (138752018451505948840²) is 19252122624367047284967140077908697345600
• 138752018451505948840 cubed (138752018451505948840³) is 2671270873606831676189486338326743425550601338713517399104000
• The square root of 138752018451505948840 is 11779304667.5729526629
• The cube root of 138752018451505948840 is 5177019.1310515689

Scales and comparisons

• 138,752,018,451,505,948,840 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,752,018,451,505,948,840 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 138752018451505948840 cubic inches would be around 431418.3 feet tall.

Recreational maths with 138752018451505948840

• 138752018451505948840 backwards is 048849505154810257831
• The number of decimal digits it has is: 21
• The sum of 138752018451505948840's digits is 88
• More coming soon!