117801306361984128

Names of 117801306361984128

• Cardinal: 117801306361984128 can be written as One hundred seventeen quadrillion, eight hundred one trillion, three hundred six billion, three hundred sixty-one million, nine hundred eighty-four thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.17801306361984128 × 10¹⁷

Factors of 117801306361984128

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 301

Divisors of 117801306361984128

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 283 312 338 384 416 507 566 624 676 832 849 1014 1132 1248 1352 1664 1698 2028 2264 2496 2704 3396 3679 4056 4528 4992 5408 6792 7358 8112 9056 10816 11037 13584 14716 16224 18112 21632 22074 27168 29432 32448 36224 44148 47827 54336 58864 64896 80089 88296 95654 108672 117728 143481 160178 176592 191308 235456 240267 286962 320356 353184 382616 470912 480534 573924 640712 706368 765232 961068 1041157 1147848 1281424 1412736 1530464 1922136 2082314 2295696 2562848 3060928 3123471 3844272 4164628 4591392 5125696 6121856 6246942 7688544 8329256 9182784 10251392 12493884 13535041 15377088 16658512 18365568 22665187 24987768 27070082 30754176 33317024 40605123 45330374 49975536 54140164 66634048 67995561 81210246 90660748 99951072 108280328 133268096 135991122 162420492 181321496 199902144 216560656 271982244 294647431 324840984 362642992 399804288 433121312 543964488 589294862 649681968 725285984 866242624 883942293 1087928976 1178589724 1299363936 1450571968 1732485248 1767884586 2175857952 2357179448 2598727872 2901143936 3535769172 3830416603 4351715904 4714358896 5197455744 6414247921 7071538344 7660833206 8703431808 9428717792 11491249809 12828495842 14143076688 15321666412 18857435584 19242743763 22982499618 25656991684 28286153376 30643332824 37714871168 38485487526 45964999236 51313983368 56572306752 61286665648 76970975052 83385222973 91929998472 102627966736 113144613504 122573331296 153941950104 166770445946 183859996944 205255933472 245146662592 250155668919 307883900208 333540891892 367719993888 410511866944 490293325184 500311337838 615767800416 667081783784 735439987776 821023733888 1000622675676 1084007898649 1231535600832 1334163567568 1470879975552 1815232161643 2001245351352 2168015797298 2463071201664 2668327135136 3252023695947 3630464323286 4002490702704 4336031594596 5336654270272 5445696484929 6504047391894 7260928646572 8004981405408 8672063189192 10673308540544 10891392969858 13008094783788 14521857293144 16009962810816 17344126378384 21782785939716 23598018101359 26016189567576 29043714586288 32019925621632 34688252756768 43565571879432 47196036202718 52032379135152 58087429172576 69376505513536 70794054304077 87131143758864 94392072405436 104064758270304 116174858345152 138753011027072 141588108608154 174262287517728 188784144810872 208129516540608 232349716690304 283176217216308 306774235317667 348524575035456 377568289621744 416259033081216 566352434432616 613548470635334 697049150070912 755136579243488 920322705953001 1132704868865232 1227096941270668 1510273158486976 1840645411906002 2265409737730464 2454193882541336 3020546316973952 3681290823812004 4530819475460928 4908387765082672 7362581647624008 9061638950921856 9816775530165344 14725163295248016 19633551060330688 29450326590496032 39267102120661376 58900653180992064 117801306361984128
• Sum of all divisors σ(n): 340032764495445840
• Sum of proper divisors (its aliquot sum) s(n): 222231458133461712
• 117801306361984128 is an abundant number, because the sum of its proper divisors (222231458133461712) is greater than itself. Its abundance is 104430151771477584

Bases of 117801306361984128

• Binary: 110100010100000111010100111111011110010000111010010000000₂
• Hexadecimal: 0x1A283A9FBC87480
• Base-36: W7X2T1OBT6O

Squares and roots of 117801306361984128

• 117801306361984128 squared (117801306361984128²) is 13877147780590042190374844923920384
• 117801306361984128 cubed (117801306361984128³) is 1634746137131815659105279109351340108142050543665152
• The square root of 117801306361984128 is 343221949.1261946201
• The cube root of 117801306361984128 is 490211.3573300271

Scales and comparisons

• 117,801,306,361,984,128 seconds is equal to 3,745,717,158 years, 49 weeks, 1 day, 7 hours, 8 minutes, 48 seconds.
• To count from 1 to 117,801,306,361,984,128 would take you about eleven billion, two hundred thirty-seven million, one hundred fifty-one thousand, four hundred seventy-six 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 117801306361984128 cubic inches would be around 40850.9 feet tall.

Recreational maths with 117801306361984128

• 117801306361984128 backwards is 821489163603108711
• The number of decimal digits it has is: 18
• The sum of 117801306361984128's digits is 69
• More coming soon!