131284991237828064

Names of 131284991237828064

• Cardinal: 131284991237828064 can be written as One hundred thirty-one quadrillion, two hundred eighty-four trillion, nine hundred ninety-one billion, two hundred thirty-seven million, eight hundred twenty-eight thousand and sixty-four.

Scientific notation

• Scientific notation: 1.31284991237828064 × 10¹⁷

Factors of 131284991237828064

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 1527085821

Divisors of 131284991237828064

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 169 182 208 224 273 312 336 338 364 416 507 546 624 672 676 728 757 1014 1092 1183 1248 1352 1456 1514 2028 2184 2271 2366 2704 2912 3028 3549 4056 4368 4542 4732 5299 5408 6056 7098 8112 8736 9084 9464 9841 10598 12112 14196 15897 16224 18168 18928 19682 21196 24224 28392 29523 31794 36336 37856 39364 42392 56784 59046 63588 68887 72672 78728 84784 113568 118092 127176 127933 137774 157456 169568 206661 236184 254352 255866 275548 314912 383799 413322 472368 508704 511732 551096 767598 826644 895531 944736 1023464 1102192 1535196 1653288 1791062 2046928 2204384 2686593 3070392 3306576 3582124 4093856 5373186 6140784 6613152 7164248 10746372 12281568 14328496 21492744 28656992 42985488 85970976 1527085039 3054170078 4581255117 6108340156 9162510234 10689595273 12216680312 18325020468 19852105507 21379190546 24433360624 32068785819 36650040936 39704211014 42758381092 48866721248 59556316521 64137571638 73300081872 79408422028 85516762184 119112633042 128275143276 138964738549 146600163744 158816844056 171033524368 238225266084 256550286552 258077371591 277929477098 317633688112 342067048736 416894215647 476450532168 513100573104 516154743182 555858954196 635267376224 774232114773 833788431294 952901064336 1026201146208 1032309486364 1111717908392 1156003374523 1548464229546 1667576862588 1806541601137 1905802128672 2064618972728 2223435816784 2312006749046 3096928459092 3335153725176 3468010123569 3613083202274 4129237945456 4446871633568 4624013498092 5419624803411 6193856918184 6670307450352 6936020247138 7226166404548 8092023621661 8258475890912 9248026996184 10839249606822 12387713836368 13340614900704 13872040494276 14452332809096 15028043868799 16184047243322 18496053992368 21678499213644 24276070864983 24775427672736 27744080988552 28904665618192 30056087737598 32368094486644 36992107984736 43356998427288 45084131606397 48552141729966 55488161977104 57809331236384 60112175475196 64736188973288 86713996854576 90168263212794 97104283459932 105196307081593 110976323954208 120224350950392 129472377946576 173427993709152 180336526425588 194208566919864 195364570294387 210392614163186 240448701900784 258944755893152 315588921244779 360673052851176 388417133839728 390729140588774 420785228326372 480897403801568 586093710883161 631177842489558 721346105702352 776834267679456 781458281177548 841570456652744 1172187421766322 1262355684979116 1367551992060709 1442692211404704 1562916562355096 1683140913305488 2344374843532644 2524711369958232 2735103984121418 3125833124710192 3366281826610976 4102655976182127 4688749687065288 5049422739916464 5470207968242836 6251666249420384 8205311952364254 9377499374130576 10098845479832928 10940415936485672 16410623904728508 18754998748261152 21880831872971344 32821247809457016 43761663745942688 65642495618914032 131284991237828064
• Sum of all divisors σ(n): 427045397664936960
• Sum of proper divisors (its aliquot sum) s(n): 295760406427108896
• 131284991237828064 is an abundant number, because the sum of its proper divisors (295760406427108896) is greater than itself. Its abundance is 164475415189280832

Bases of 131284991237828064

• Binary: 111010010011010110000000100000011000100100010110111100000₂
• Hexadecimal: 0x1D26B0103122DE0
• Base-36: ZWON8D4Z8IO

Squares and roots of 131284991237828064

• 131284991237828064 squared (131284991237828064²) is 17235748924316591540137036025988096
• 131284991237828064 cubed (131284991237828064³) is 2262795146506308199757864402508092522226138558726144
• The square root of 131284991237828064 is 362332707.9326790007
• The cube root of 131284991237828064 is 508243.3362570495

Scales and comparisons

• 131,284,991,237,828,064 seconds is equal to 4,174,456,630 years, 11 weeks, 3 days, 18 hours, 54 minutes, 24 seconds.
• To count from 1 to 131,284,991,237,828,064 would take you about twelve billion, five hundred twenty-three million, three hundred sixty-nine thousand, eight hundred ninety 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 131284991237828064 cubic inches would be around 42353.6 feet tall.

Recreational maths with 131284991237828064

• 131284991237828064 backwards is 460828732199482131
• 131284991237828064 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 131284991237828064's digits is 78
• More coming soon!