1315972671609984

Names of 1315972671609984

• Cardinal: 1315972671609984 can be written as One quadrillion, three hundred fifteen trillion, nine hundred seventy-two billion, six hundred seventy-one million, six hundred nine thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.315972671609984 × 10¹⁵

Factors of 1315972671609984

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 8148

Divisors of 1315972671609984

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 32 37 48 64 71 74 96 111 128 142 148 181 192 213 222 284 296 362 384 426 444 543 568 592 724 852 888 1061 1086 1136 1184 1448 1704 1776 2122 2172 2272 2368 2627 2896 3183 3408 3552 4244 4344 4544 4736 5254 5792 6366 6697 6793 6816 7104 7881 8488 8688 9088 10508 11584 12732 12851 13394 13586 13632 14208 15762 16976 17376 20091 20379 21016 23168 25464 25702 26788 27172 27264 31524 33952 34752 38553 39257 40182 40758 42032 50928 51404 53576 54344 63048 67904 69504 75331 77106 78514 80364 81516 84064 101856 102808 107152 108688 117771 126096 135808 150662 154212 157028 160728 163032 168128 192041 203712 205616 214304 217376 225993 235542 251341 252192 301324 308424 314056 321456 326064 336256 384082 407424 411232 428608 434752 451986 471084 475487 482303 502682 504384 576123 602648 616848 628112 642912 652128 754023 768164 822464 857216 869504 903972 942168 950974 964606 1005364 1008768 1152246 1205296 1229533 1233696 1256224 1285824 1304256 1426461 1446909 1508046 1536328 1644928 1807944 1884336 1901948 1929212 2010728 2304492 2410592 2459066 2467392 2512448 2571648 2608512 2787247 2852922 2893818 3016092 3072656 3615888 3688599 3768672 3803896 3858424 4021456 4608984 4821184 4918132 4934784 5024896 5574494 5705844 5787636 6032184 6145312 7105517 7207373 7231776 7377198 7537344 7607792 7716848 8042912 8361741 9217968 9642368 9836264 11148988 11411688 11575272 12064368 12290624 13634911 14211034 14414746 14463552 14754396 15074688 15215584 15433696 16085824 16723482 17845211 18435936 19672528 21316551 21622119 22297976 22823376 23150544 24128736 24581248 27269822 28422068 28829492 28927104 29508792 30431168 30867392 32171648 33446964 35690422 36871872 39345056 40904733 42633102 43244238 44595952 45492721 45646752 46301088 48257472 53535633 54539644 56844136 57658984 59017584 60862336 61734784 66893928 71380844 73743744 78690112 81809466 85266204 86488476 87296843 89191904 90985442 91293504 92602176 96514944 107071266 109079288 113688272 115317968 118035168 133787856 136478163 142761688 157380224 163618932 170532408 172976952 174593686 178383808 181970884 182587008 185204352 214142532 218158576 227376544 230635936 236070336 261890529 266672801 267575712 272956326 285523376 327237864 341064816 345953904 349187372 356767616 363941768 428285064 436317152 454753088 461271872 472140672 504491707 511723483 523781058 533345602 535151424 545912652 571046752 654475728 682129632 691907808 698374744 727883536 800018403 856570128 872634304 909506176 922543744 1008983414 1023446966 1047562116 1066691204 1070302848 1091825304 1142093504 1304534513 1308951456 1364259264 1383815616 1396749488 1455767072 1513475121 1535170449 1600036806 1713140256 1745268608 2017966828 2046893932 2095124232 2133382408 2183650608 2284187008 2609069026 2617902912 2728518528 2767631232 2793498976 2911534144 3026950242 3070340898 3200073612 3229983191 3426280512 3913603539 4035933656 4093787864 4190248464 4266764816 4367301216 5218138052 5235805824 5586997952 5823068288 6053900484 6140681796 6400147224 6459966382 6852561024 7827207078 8071867312 8187575728 8380496928 8533529632 8734602432 9689949573 10436276104 11173995904 12107800968 12281363592 12800294448 12919932764 15654414156 16143734624 16375151456 16760993856 17067059264 17469204864 18933768871 19379899146 20872552208 24215601936 24562727184 25600588896 25839865528 31308828312 32287469248 32750302912 33521987712 34134118528 37867537742 38759798292 41745104416 48267776981 48431203872 49125454368 51201177792 51679731056 56801306613 62617656624 64574938496 65500605824 75735075484 77519596584 83490208832 92621950423 96535553962 96862407744 98250908736 102402355584 103359462112 113602613226 125235313248 144803330943 151470150968 155039193168 166980417664 185243900846 193071107924 193724815488 196501817472 206718924224 227205226452 250470626496 277865851269 289606661886 302940301936 310078386336 370487801692 386142215848 413437848448 454410452904 500941252992 555731702538 579213323772 605880603872 620156772672 740975603384 772284431696 908820905808 1111463405076 1158426647544 1211761207744 1240313545344 1481951206768 1544568863392 1817641811616 2222926810152 2316853295088 2423522415488 2963902413536 3089137726784 3427012165651 3635283623232 4445853620304 4633706590176 5927804827072 6178275453568 6854024331302 7270567246464 8891707240608 9267413180352 10281036496953 11855609654144 13708048662604 17783414481216 18534826360704 20562072993906 27416097325208 35566828962432 41124145987812 54832194650416 82248291975624 109664389300832 164496583951248 219328778601664 328993167902496 438657557203328 657986335804992 1315972671609984
• Sum of all divisors σ(n): 3664693957317120
• Sum of proper divisors (its aliquot sum) s(n): 2348721285707136
• 1315972671609984 is an abundant number, because the sum of its proper divisors (2348721285707136) is greater than itself. Its abundance is 1032748614097152

Bases of 1315972671609984

• Binary: 100101011001101111011000011101000000001110010000000₂
• Hexadecimal: 0x4ACDEC3A01C80
• Base-36: CYH1HZ9OQO

Squares and roots of 1315972671609984

• 1315972671609984 squared (1315972671609984²) is 1731784072424318788866608480256
• 1315972671609984 cubed (1315972671609984³) is 2278980512439848817573951496581748390996475904
• The square root of 1315972671609984 is 36276337.6267503609
• The cube root of 1315972671609984 is 109584.4562002855

Scales and comparisons

• 1,315,972,671,609,984 seconds is equal to 41,843,860 years, 20 weeks, 16 hours, 6 minutes, 24 seconds.
• To count from 1 to 1,315,972,671,609,984 would take you about one hundred twenty-five million, five hundred thirty-one thousand, five hundred eighty-one 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 1315972671609984 cubic inches would be around 9132 feet tall.

Recreational maths with 1315972671609984

• 1315972671609984 backwards is 4899061762795131
• The number of decimal digits it has is: 16
• The sum of 1315972671609984's digits is 78
• More coming soon!