12982678507008

Names of 12982678507008

• Cardinal: 12982678507008 can be written as Twelve trillion, nine hundred eighty-two billion, six hundred seventy-eight million, five hundred seven thousand and eight.

Scientific notation

• Scientific notation: 1.2982678507008 × 10¹³

Factors of 12982678507008

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 109

Divisors of 12982678507008

• Number of divisors d(n): 800
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 97 98 108 112 126 128 144 147 162 168 189 192 194 196 216 224 252 256 288 291 294 324 336 343 378 384 388 392 432 441 448 504 512 567 576 582 588 648 672 679 686 756 768 776 784 864 873 882 896 1008 1029 1134 1152 1164 1176 1296 1323 1344 1358 1372 1512 1536 1552 1568 1728 1746 1764 1792 2016 2037 2058 2268 2304 2328 2352 2592 2619 2646 2688 2716 2744 3024 3087 3104 3136 3456 3492 3528 3584 3969 4032 4074 4116 4536 4608 4656 4704 4753 5184 5238 5292 5376 5432 5488 6048 6111 6174 6208 6272 6912 6984 7056 7857 7938 8064 8148 8232 9072 9261 9312 9408 9409 9506 10368 10476 10584 10752 10864 10976 12096 12222 12348 12416 12544 13824 13968 14112 14259 15714 15876 16128 16296 16464 18144 18333 18522 18624 18816 18818 19012 20736 20952 21168 21728 21952 24192 24444 24696 24832 25088 27783 27936 28224 28227 28518 31428 31752 32256 32592 32928 33271 36288 36666 37044 37248 37632 37636 38024 41472 41904 42336 42777 43456 43904 48384 48888 49392 49664 54999 55566 55872 56448 56454 57036 62856 63504 65184 65856 65863 66542 72576 73332 74088 74496 75264 75272 76048 83808 84672 84681 85554 86912 87808 96768 97776 98784 99813 109998 111132 111744 112896 112908 114072 125712 127008 128331 130368 131712 131726 133084 145152 146664 148176 148992 150544 152096 167616 169344 169362 171108 173824 175616 195552 197568 197589 199626 219996 222264 223488 225792 225816 228144 251424 254016 254043 256662 260736 263424 263452 266168 290304 293328 296352 299439 301088 304192 335232 338688 338724 342216 347648 384993 391104 395136 395178 399252 439992 444528 446976 451632 456288 461041 502848 508032 508086 513324 521472 526848 526904 532336 586656 592704 592767 598878 602176 608384 670464 677376 677448 684432 762129 769986 782208 790272 790356 798504 879984 889056 898317 903264 912576 912673 922082 1005696 1016064 1016172 1026648 1042944 1053808 1064672 1173312 1185408 1185534 1197756 1204352 1216768 1340928 1354896 1368864 1383123 1524258 1539972 1564416 1580544 1580712 1597008 1759968 1778112 1778301 1796634 1806528 1825152 1825346 1844164 2011392 2032128 2032344 2053296 2107616 2129344 2346624 2370816 2371068 2395512 2408704 2433536 2694951 2709792 2737728 2738019 2766246 3048516 3079944 3128832 3161424 3194016 3227287 3519936 3556224 3556602 3593268 3613056 3650304 3650692 3688328 4022784 4064688 4106592 4149369 4215232 4258688 4693248 4741632 4742136 4791024 4817408 5334903 5389902 5419584 5475456 5476038 5532492 6097032 6159888 6322848 6388032 6388711 6454574 7039872 7112448 7113204 7186536 7226112 7300608 7301384 7376656 8129376 8213184 8214057 8298738 8430464 8517376 9386496 9484272 9582048 9681861 10669806 10779804 10839168 10950912 10952076 11064984 12194064 12319776 12448107 12645696 12776064 12777422 12909148 14079744 14224896 14226408 14373072 14452224 14602768 14753312 16258752 16426368 16428114 16597476 16860928 17034752 18968544 19164096 19166133 19363722 21339612 21559608 21678336 21901824 21904152 22129968 24388128 24639552 24642171 24896214 25291392 25552128 25554844 25818296 28159488 28452816 28746144 29045583 29205536 29506624 32517504 32852736 32856228 33194952 33721856 37344321 37937088 38328192 38332266 38727444 42679224 43119216 43356672 43808304 44259936 44720977 48776256 49279104 49284342 49792428 50582784 51104256 51109688 51636592 56905632 57492288 57498399 58091166 58411072 59013248 65035008 65705472 65712456 66389904 73926513 74688642 75874176 76656384 76664532 77454888 85358448 86238432 87136749 87616608 88519872 89441954 97552512 98558208 98568684 99584856 101165568 102219376 103273184 113811264 114984576 114996798 116182332 116822144 118026496 130070016 131424912 132779808 134162931 147853026 149377284 151748352 153312768 153329064 154909776 170716896 172476864 172495197 174273498 175233216 177039744 178883908 195105024 197116416 197137368 199169712 204438752 206546368 227622528 229969152 229993596 232364664 233644288 236052992 261410247 262849824 265559616 268325862 295706052 298754568 303496704 306658128 309819552 313046839 341433792 344953728 344990394 348546996 350466432 354079488 357767816 390210048 394274736 398339424 402488793 408877504 413092736 455245056 459938304 459987192 464729328 467288576 517485591 522820494 525699648 531119232 536651724 591412104 597509136 613316256 619639104 626093678 682867584 689907456 689980788 697093992 700932864 708158976 715535632 788549472 796678848 804977586 817755008 826185472 910490112 919974384 929458656 939140517 1034971182 1045640988 1051399296 1062238464 1073303448 1182824208 1195018272 1207466379 1226632512 1239278208 1252187356 1365735168 1379814912 1379961576 1394187984 1401865728 1431071264 1577098944 1593357696 1609955172 1635510016 1652370944 1839948768 1858917312 1878281034 2069942364 2091281976 2102798592 2124476928 2146606896 2365648416 2390036544 2414932758 2453265024 2478556416 2504374712 2731470336 2759923152 2788375968 2817421551 2862142528 3154197888 3186715392 3219910344 3271020032 3622399137 3679897536 3717834624 3756562068 4139884728 4182563952 4205597184 4293213792 4731296832 4780073088 4829865516 4906530048 4957112832 5008749424 5519846304 5576751936 5634843102 5724285056 6308395776 6373430784 6439820688 7244798274 7359795072 7435669248 7513124136 8279769456 8365127904 8452264653 8586427584 9462593664 9560146176 9659731032 9813060096 10017498848 11039692608 11153503872 11269686204 11448570112 12616791552 12879641376 14489596548 14719590144 14871338496 15026248272 16559538912 16730255808 16904529306 17172855168 18925187328 19120292352 19319462064 20034997696 22079385216 22307007744 22539372408 22897140224 25356793959 25759282752 28979193096 29439180288 30052496544 33119077824 33460511616 33809058612 34345710336 37850374656 38638924128 40069995392 44158770432 44614015488 45078744816 50713587918 51518565504 57958386192 60104993088 66238155648 66921023232 67618117224 68691420672 77277848256 80139990784 88317540864 90157489632 101427175836 103037131008 115916772384 120209986176 132476311296 133842046464 135236234448 154555696512 160279981568 180314979264 202854351672 206074262016 231833544768 240419972352 264952622592 270472468896 309111393024 360629958528 405708703344 463667089536 480839944704 540944937792 618222786048 721259917056 811417406688 927334179072 1081889875584 1442519834112 1622834813376 1854668358144 2163779751168 3245669626752 4327559502336 6491339253504 12982678507008
• Sum of all divisors σ(n): 45660082776000
• Sum of proper divisors (its aliquot sum) s(n): 32677404268992
• 12982678507008 is an abundant number, because the sum of its proper divisors (32677404268992) is greater than itself. Its abundance is 19694725761984

Bases of 12982678507008

• Binary: 10111100111011000011111100001100111000000000₂
• Hexadecimal: 0xBCEC3F0CE00
• Base-36: 4LO5RKW00

Squares and roots of 12982678507008

• 12982678507008 squared (12982678507008²) is 168549941216327471905112064
• 12982678507008 cubed (12982678507008³) is 2188229699186676506505875356494449344512
• The square root of 12982678507008 is 3603148.4159007383
• The cube root of 12982678507008 is 23502.8989977295

Scales and comparisons

• 12,982,678,507,008 seconds is equal to 412,809 years, 6 days, 17 hours, 16 minutes, 48 seconds.
• To count from 1 to 12,982,678,507,008 would take you about one million, thirty-two thousand and twenty-two 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 12982678507008 cubic inches would be around 1958.6 feet tall.

Recreational maths with 12982678507008

• 12982678507008 backwards is 80070587628921
• 12982678507008 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 12982678507008's digits is 63
• More coming soon!