12822328307712

Names of 12822328307712

• Cardinal: 12822328307712 can be written as Twelve trillion, eight hundred twenty-two billion, three hundred twenty-eight million, three hundred seven thousand, seven hundred twelve.

Scientific notation

• Scientific notation: 1.2822328307712 × 10¹³

Factors of 12822328307712

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 797201

Divisors of 12822328307712

• Number of divisors d(n): 416
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 14 16 17 21 22 24 28 32 33 34 42 44 48 51 56 64 66 68 77 84 88 96 102 112 119 128 132 136 154 168 176 187 192 204 224 231 238 256 264 272 308 336 352 357 374 384 408 448 462 476 512 528 544 561 616 672 704 714 748 768 816 896 924 952 1024 1056 1088 1122 1232 1309 1344 1408 1428 1496 1536 1632 1792 1848 1904 2048 2112 2176 2244 2464 2618 2688 2816 2856 2992 3072 3264 3584 3696 3808 3927 4096 4224 4352 4488 4928 5236 5376 5632 5712 5984 6144 6528 7168 7392 7616 7854 8448 8704 8976 9856 10472 10752 11264 11424 11968 12288 13056 14336 14784 15232 15708 16896 17408 17952 19712 20944 21504 22528 22848 23936 26112 28672 29568 30464 31416 33792 34816 35904 39424 41888 43008 45056 45696 47872 52224 59136 60928 62832 67584 69632 71808 78848 83776 86016 91392 95744 104448 118272 121856 125664 135168 143616 157696 167552 182784 191488 208896 236544 243712 251328 287232 315392 335104 365568 382976 473088 487424 502656 574464 670208 731136 765952 797161 946176 1005312 1148928 1340416 1462272 1594322 2010624 2297856 2391483 2680832 3188644 4021248 4782966 5361664 5580127 6377288 8042496 8768771 9565932 11160254 12754576 13551737 16084992 16740381 17537542 19131864 22320508 25509152 26306313 27103474 33480762 35075084 38263728 40655211 44641016 51018304 52612626 54206948 61381397 66961524 70150168 76527456 81310422 89282032 94862159 102036608 105225252 108413896 122762794 133923048 140300336 149069107 153054912 162620844 178564064 184144191 189724318 204073216 210450504 216827792 245525588 267846096 280600672 284586477 298138214 306109824 325241688 357128128 368288382 379448636 408146432 420901008 433655584 447207321 491051176 535692192 561201344 569172954 596276428 612219648 650483376 714256256 736576764 758897272 816292864 841802016 867311168 894414642 982102352 1043483749 1071384384 1122402688 1138345908 1192552856 1224439296 1300966752 1428512512 1473153528 1517794544 1632585728 1683604032 1734622336 1788829284 1964204704 2086967498 2142768768 2244805376 2276691816 2385105712 2448878592 2601933504 2857025024 2946307056 3035589088 3130451247 3265171456 3367208064 3469244672 3577658568 3928409408 4173934996 4285537536 4489610752 4553383632 4770211424 4897757184 5203867008 5714050048 5892614112 6071178176 6260902494 6734416128 6938489344 7155317136 7856818816 8347869992 8571075072 8979221504 9106767264 9540422848 9795514368 10407734016 11428100096 11785228224 12142356352 12521804988 13468832256 13876978688 14310634272 15713637632 16695739984 17142150144 17958443008 18213534528 19080845696 20815468032 22856200192 23570456448 24284712704 25043609976 26937664512 27753957376 28621268544 31427275264 33391479968 34284300288 35916886016 36427069056 38161691392 41630936064 47140912896 48569425408 50087219952 53875329024 55507914752 57242537088 62854550528 66782959936 68568600576 72854138112 76323382784 83261872128 94281825792 97138850816 100174439904 107750658048 114485074176 125709101056 133565919872 145708276224 152646765568 166523744256 188563651584 194277701632 200348879808 228970148352 251418202112 267131839744 291416552448 305293531136 377127303168 388555403264 400697759616 457940296704 534263679488 582833104896 610587062272 754254606336 801395519232 915880593408 1068527358976 1165666209792 1602791038464 1831761186816 2137054717952 3205582076928 4274109435904 6411164153856 12822328307712
• Sum of all divisors σ(n): 45132276847104
• Sum of proper divisors (its aliquot sum) s(n): 32309948539392
• 12822328307712 is an abundant number, because the sum of its proper divisors (32309948539392) is greater than itself. Its abundance is 19487620231680

Bases of 12822328307712

• Binary: 10111010100101101110010100101111000000000000₂
• Hexadecimal: 0xBA96E52F000
• Base-36: 4JMHV7MDC

Squares and roots of 12822328307712

• 12822328307712 squared (12822328307712²) is 164412103230752481758674944
• 12822328307712 cubed (12822328307712³) is 2108145965386145117265054644275016368128
• The square root of 12822328307712 is 3580827.8802131777
• The cube root of 12822328307712 is 23405.7357476973

Scales and comparisons

• 12,822,328,307,712 seconds is equal to 407,710 years, 19 weeks, 4 days, 15 hours, 15 minutes, 12 seconds.
• To count from 1 to 12,822,328,307,712 would take you about one million, nineteen thousand, two hundred seventy-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 12822328307712 cubic inches would be around 1950.5 feet tall.

Recreational maths with 12822328307712

• 12822328307712 backwards is 21770382322821
• 12822328307712 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 12822328307712's digits is 48
• More coming soon!