12747972671622144

Names of 12747972671622144

• Cardinal: 12747972671622144 can be written as Twelve quadrillion, seven hundred forty-seven trillion, nine hundred seventy-two billion, six hundred seventy-one million, six hundred twenty-two thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 1.2747972671622144 × 10¹⁶

Factors of 12747972671622144

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 1326

Divisors of 12747972671622144

• Number of divisors d(n): 1188
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 19 22 24 32 33 36 38 44 48 57 64 66 72 76 88 96 99 114 121 128 132 144 152 171 176 192 198 209 228 242 256 264 288 304 342 352 361 363 384 396 418 456 484 512 528 576 608 627 684 704 722 726 768 792 836 912 968 1024 1056 1083 1089 1152 1216 1254 1291 1368 1408 1444 1452 1536 1584 1672 1824 1881 1936 2112 2166 2178 2299 2304 2432 2508 2582 2736 2816 2888 2904 3072 3168 3249 3344 3648 3762 3872 3873 3971 4224 4332 4356 4598 4608 4864 5016 5164 5472 5632 5776 5808 6336 6498 6688 6859 6897 7296 7524 7744 7746 7942 8448 8664 8712 9196 9216 9728 10032 10328 10944 11264 11552 11616 11619 11913 12672 12996 13376 13718 13794 14201 14592 15048 15488 15492 15884 16896 17328 17424 18392 19456 20064 20577 20656 20691 21888 23104 23232 23238 23826 24529 25344 25992 26752 27436 27588 28402 29184 30096 30976 30984 31768 33792 34656 34848 35739 36784 40128 41154 41312 41382 42603 43681 43776 46208 46464 46476 47652 49058 50688 51984 53504 54872 55176 56804 58368 60192 61731 61952 61968 63536 69312 69696 71478 73568 73587 75449 80256 82308 82624 82764 85206 87362 87552 92416 92928 92952 95304 98116 101376 103968 107008 109744 110352 113608 120384 123462 123904 123936 127072 127809 131043 138624 139392 142956 147136 147174 150898 156211 160512 164616 165248 165528 170412 174724 175104 184832 185856 185904 190608 196232 207936 214016 219488 220704 220761 226347 227216 240768 246924 247872 254144 255618 262086 269819 277248 278784 285912 294272 294348 301796 312422 321024 329232 330496 331056 340824 349448 369664 371712 371808 381216 392464 393129 415872 438976 441408 441522 452694 454432 466051 468633 481536 493848 495744 508288 511236 524172 539638 554496 557568 571824 588544 588696 603592 624844 642048 658464 660992 662112 679041 681648 698896 743616 762432 784928 786258 809457 829939 831744 877952 882816 883044 905388 908864 932102 937266 963072 987696 991488 1016576 1022472 1048344 1079276 1108992 1115136 1143648 1177088 1177392 1207184 1249688 1316928 1321984 1324224 1358082 1363296 1397792 1398153 1405899 1487232 1524864 1569856 1572516 1618914 1659878 1663488 1666681 1755904 1765632 1766088 1810776 1817728 1864204 1874532 1926144 1975392 1982976 2033152 2044944 2096688 2158552 2287296 2354176 2354784 2414368 2428371 2489817 2499376 2633856 2648448 2716164 2726592 2795584 2796306 2811798 2968009 2974464 3049728 3139712 3145032 3237828 3319756 3326976 3333362 3511808 3531264 3532176 3621552 3635456 3728408 3749064 3950784 3965952 4066304 4089888 4193376 4194459 4317104 4574592 4709568 4828736 4856742 4979634 4998752 5000043 5126561 5267712 5296896 5432328 5453184 5591168 5592612 5623596 5936018 5948928 6099456 6279424 6290064 6475656 6639512 6666724 7023616 7062528 7064352 7243104 7270912 7456816 7469451 7498128 7901568 8179776 8386752 8388918 8634208 8854969 8904027 9149184 9419136 9657472 9713484 9959268 9997504 10000086 10253122 10535424 10593792 10864656 10906368 11182336 11185224 11247192 11872036 11897856 12198912 12558848 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177055175994752 193151101085184 199187072994096 223648643361792 265582763992128 289726651627776 335472965042688 354110351989504 386302202170368 398374145988192 531165527984256 579453303255552 670945930085376 708220703979008 796748291976384 1062331055968512 1158906606511104 1416441407958016 1593496583952768 2124662111937024 3186993167905536 4249324223874048 6373986335811072 12747972671622144
• Sum of all divisors σ(n): 42740580697028760
• Sum of proper divisors (its aliquot sum) s(n): 29992608025406616
• 12747972671622144 is an abundant number, because the sum of its proper divisors (29992608025406616) is greater than itself. Its abundance is 17244635353784472

Bases of 12747972671622144

• Binary: 101101010010100011011010101110101100101100110000000000₂
• Hexadecimal: 0x2D4A36AEB2CC00
• Base-36: 3HIS1SPS740

Squares and roots of 12747972671622144

• 12747972671622144 squared (12747972671622144²) is 162510807236425023660240311156736
• 12747972671622144 cubed (12747972671622144³) is 2071683329493200361018570285838683473706152361984
• The square root of 12747972671622144 is 112906920.3885312957
• The cube root of 12747972671622144 is 233604.0536115935

Scales and comparisons

• 12,747,972,671,622,144 seconds is equal to 405,346,098 years, 46 weeks, 1 day, 15 hours, 2 minutes, 24 seconds.
• To count from 1 to 12,747,972,671,622,144 would take you about one billion, two hundred sixteen million, thirty-eight thousand, two hundred ninety-six 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 12747972671622144 cubic inches would be around 19467 feet tall.

Recreational maths with 12747972671622144

• 12747972671622144 backwards is 44122617627974721
• 12747972671622144 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12747972671622144's digits is 72
• More coming soon!