12946948747706848

Names of 12946948747706848

• Cardinal: 12946948747706848 can be written as Twelve quadrillion, nine hundred forty-six trillion, nine hundred forty-eight billion, seven hundred forty-seven million, seven hundred six thousand, eight hundred forty-eight.

Scientific notation

• Scientific notation: 1.2946948747706848 × 10¹⁶

Factors of 12946948747706848

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1360

Divisors of 12946948747706848

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 241 272 343 392 476 482 544 686 784 833 952 964 1093 1372 1568 1666 1687 1904 1928 2186 2744 3332 3374 3808 3856 4097 4372 5488 5831 6664 6748 7651 7712 8194 8744 10976 11662 11809 13328 13496 15302 16388 17488 18581 23324 23618 26656 26992 28679 30604 32776 34976 37162 46648 47236 53557 53984 57358 58081 61208 65552 74324 82663 93296 94472 107114 114716 116162 122416 130067 131104 148648 165326 186592 188944 200753 214228 229432 232324 244832 260134 263413 297296 330652 374899 377888 401506 406567 428456 458864 464648 520268 526826 594592 661304 749798 803012 813134 856912 910469 917728 929296 987377 1040536 1053652 1194649 1322608 1405271 1499596 1606024 1626268 1713824 1820938 1843891 1858592 1974754 2081072 2107304 2389298 2645216 2810542 2845969 2999192 3212048 3252536 3641876 3687782 3949508 4162144 4214608 4478021 4778596 5621084 5691938 5998384 6373283 6424096 6505072 6911639 7283752 7375564 7899016 8362543 8429216 8956042 9557192 11242168 11383876 11996768 12746566 12907237 13010144 13823278 14567504 14751128 15798032 16725086 17912084 19114384 19921783 20309033 22484336 22767752 25493132 25814474 27646556 29135008 29502256 31346147 31596064 33450172 35824168 38228768 39843566 40618066 44968672 45535504 48381473 50986264 51628948 55293112 58537801 59004512 62692294 63482533 66900344 71648336 79687132 81236132 90350659 91071008 96762946 101972528 103257896 110586224 117075602 125384588 126965066 133800688 142163231 143296672 159374264 162472264 180701318 193525892 203945056 206515792 219423029 221172448 234151204 250769176 253930132 267601376 284326462 287910409 318748528 324944528 338670311 361402636 387051784 409764607 413031584 438846058 444377731 468302408 501538352 507860264 568652924 575820818 637497056 649889056 677340622 722805272 774103568 819529214 877692116 888755462 936604816 995142617 1003076704 1015720528 1079203061 1137305848 1151641636 1354681244 1445610544 1535961203 1548207136 1639058428 1755384232 1777510924 1873209632 1990285234 2015372863 2031441056 2158406122 2274611696 2303283272 2709362488 2891221088 3071922406 3110644117 3278116856 3510768464 3555021848 3980570468 4030745726 4316812244 4549223392 4606566544 4894476953 5418724976 6143844812 6221288234 6556233712 6965998319 7021536928 7110043696 7554421427 7961140936 8061491452 8633624488 9213133088 9788953906 10837449952 12287689624 12442576468 13112467424 13931996638 14107610041 14220087392 15108842854 15922281872 16122982904 17267248976 19577907812 21774508819 24575379248 24885152936 27863993276 28215220082 30217685708 31844563744 32245965808 34261338671 34534497952 39155815624 43549017638 49150758496 49770305872 52880949989 55727986552 56430440164 60435371416 64491931616 68522677342 69386408569 78311631248 87098035276 98753270287 99540611744 105761899978 111455973104 112860880328 120870742832 137045354684 138772817138 156623262496 174196070552 197506540574 211523799956 222911946208 225721760656 239829370697 241741485664 274090709368 277545634276 348392141104 370166649923 395013081148 423047599912 451443521312 479658741394 485704859983 548181418736 555091268552 696784282208 740333299846 790026162296 846095199824 959317482788 971409719966 1096362837472 1110182537104 1179568945673 1480666599692 1580052324592 1678805594879 1692190399648 1918634965576 1942819439932 2220365074208 2359137891346 2961333199384 3160104649184 3357611189758 3399934019881 3837269931152 3885638879864 4718275782692 5922666398768 6715222379516 6799868039762 7674539862304 7771277759728 8256982619711 9436551565384 11845332797536 13430444759032 13599736079524 15542555519456 16513965239422 18873103130768 23799538139167 26860889518064 27199472159048 33027930478844 37746206261536 47599076278334 53721779036128 54398944318096 57798878337977 66055860957688 95198152556668 108797888636192 115597756675954 132111721915376 190396305113336 231195513351908 264223443830752 380792610226672 404592148365839 462391026703816 761585220453344 809184296731678 924782053407632 1618368593463356 1849564106815264 3236737186926712 6473474373853424 12946948747706848
• Sum of all divisors σ(n): 31633755093410400
• Sum of proper divisors (its aliquot sum) s(n): 18686806345703552
• 12946948747706848 is an abundant number, because the sum of its proper divisors (18686806345703552) is greater than itself. Its abundance is 5739857597996704

Bases of 12946948747706848

• Binary: 101101111111110010111001101001000010000100000111100000₂
• Hexadecimal: 0x2DFF2E690841E0
• Base-36: 3JHB6582NZ4

Squares and roots of 12946948747706848

• 12946948747706848 squared (12946948747706848²) is 167623481875747919665338546095104
• 12946948747706848 cubed (12946948747706848³) is 2170212628757476061115920214216413696264920072192
• The square root of 12946948747706848 is 113784659.5447156401
• The cube root of 12946948747706848 is 234813.1833372489

Scales and comparisons

• 12,946,948,747,706,848 seconds is equal to 411,672,922 years, 33 weeks, 4 hours, 47 minutes, 28 seconds.
• To count from 1 to 12,946,948,747,706,848 would take you about one billion, two hundred thirty-five million, eighteen thousand, seven hundred sixty-seven 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 12946948747706848 cubic inches would be around 19567.8 feet tall.

Recreational maths with 12946948747706848

• 12946948747706848 backwards is 84860774784964921
• The number of decimal digits it has is: 17
• The sum of 12946948747706848's digits is 94
• More coming soon!