12846979321344

Names of 12846979321344

• Cardinal: 12846979321344 can be written as Twelve trillion, eight hundred forty-six billion, nine hundred seventy-nine million, three hundred twenty-one thousand, three hundred forty-four.

Scientific notation

• Scientific notation: 1.2846979321344 × 10¹³

Factors of 12846979321344

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 2863

Divisors of 12846979321344

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 256 288 294 336 343 384 392 441 448 504 512 576 588 672 686 768 784 882 896 1008 1029 1152 1176 1344 1372 1536 1568 1764 1792 2016 2058 2304 2352 2688 2744 2851 3087 3136 3528 3584 4032 4116 4608 4704 5376 5488 5702 6174 6272 7056 8064 8232 8553 9408 10752 10976 11404 12348 12544 14112 16128 16464 17106 18816 19957 21952 22808 24696 25088 25659 28224 32256 32928 34212 37632 39914 43904 45616 49392 51318 56448 59871 65856 68424 75264 79828 87808 91232 98784 102636 112896 119742 131712 136848 139699 159656 175616 179613 182464 197568 205272 225792 239484 263424 273696 279398 319312 359226 364928 395136 410544 419097 478968 526848 547392 558796 638624 718452 729856 790272 821088 838194 957936 977893 1094784 1117592 1257291 1277248 1436904 1459712 1580544 1642176 1676388 1915872 1955786 2189568 2235184 2514582 2554496 2873808 2933679 3284352 3352776 3831744 3911572 4379136 4470368 5029164 5108992 5747616 5867358 6568704 6705552 7663488 7823144 8128201 8801037 8940736 10058328 10217984 11495232 11734716 13137408 13411104 15326976 15646288 16256402 17602074 17881472 20116656 22990464 23469432 24384603 26822208 30653952 31292576 32512804 35204148 35762944 40233312 45980928 46938864 48769206 53644416 56897407 62585152 65025608 70408296 71525888 73153809 80466624 91961856 93877728 97538412 107288832 113794814 125170304 130051216 140816592 146307618 160933248 170692221 187755456 195076824 214577664 227589628 250340608 260102432 281633184 292615236 321866496 341384442 375510912 390153648 398281849 455179256 500681216 512076663 520204864 563266368 585230472 643732992 682768884 751021824 780307296 796563698 910358512 1024153326 1040409728 1126532736 1170460944 1194845547 1365537768 1502043648 1560614592 1593127396 1820717024 2048306652 2080819456 2253065472 2340921888 2389691094 2731075536 2787972943 3121229184 3186254792 3584536641 3641434048 4096613304 4161638912 4506130944 4681843776 4779382188 5462151072 5575945886 6242458368 6372509584 7169073282 7282868096 8193226608 8363918829 9363687552 9558764376 10924302144 11151891772 12484916736 12745019168 14338146564 14565736192 16386453216 16727837658 18727375104 19117528752 21848604288 22303783544 25091756487 25490038336 28676293128 29131472384 32772906432 33455675316 37454750208 38235057504 43697208576 44607567088 50183512974 50980076672 57352586256 65545812864 66911350632 76470115008 87394417152 89215134176 100367025948 101960153344 114705172512 131091625728 133822701264 152940230016 178430268352 200734051896 203920306688 229410345024 262183251456 267645402528 305880460032 356860536704 401468103792 458820690048 535290805056 611760920064 713721073408 802936207584 917641380096 1070581610112 1427442146816 1605872415168 1835282760192 2141163220224 3211744830336 4282326440448 6423489660672 12846979321344
• Sum of all divisors σ(n): 43253949538800
• Sum of proper divisors (its aliquot sum) s(n): 30406970217456
• 12846979321344 is an abundant number, because the sum of its proper divisors (30406970217456) is greater than itself. Its abundance is 17559990896112

Bases of 12846979321344

• Binary: 10111010111100101011101000111000111000000000₂
• Hexadecimal: 0xBAF2BA38E00
• Base-36: 4JXTJSE80

Squares and roots of 12846979321344

• 12846979321344 squared (12846979321344²) is 165044877683040342813966336
• 12846979321344 cubed (12846979321344³) is 2120328130687769114462742346510142275584
• The square root of 12846979321344 is 3584268.3104566823
• The cube root of 12846979321344 is 23420.7253747853

Scales and comparisons

• 12,846,979,321,344 seconds is equal to 408,494 years, 10 weeks, 4 days, 7 hours, 2 minutes, 24 seconds.
• To count from 1 to 12,846,979,321,344 would take you about one million, twenty-one thousand, two hundred thirty-five 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 12846979321344 cubic inches would be around 1951.7 feet tall.

Recreational maths with 12846979321344

• 12846979321344 backwards is 44312397964821
• 12846979321344 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 12846979321344's digits is 63
• More coming soon!