126978378264576

Names of 126978378264576

• Cardinal: 126978378264576 can be written as One hundred twenty-six trillion, nine hundred seventy-eight billion, three hundred seventy-eight million, two hundred sixty-four thousand, five hundred seventy-six.

Scientific notation

• Scientific notation: 1.26978378264576 × 10¹⁴

Factors of 126978378264576

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 141212

Divisors of 126978378264576

• Number of divisors d(n): 416
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 256 261 281 288 348 384 432 464 512 522 562 576 696 768 783 843 864 928 1024 1044 1124 1152 1392 1536 1566 1686 1728 1856 2048 2088 2248 2304 2529 2784 3072 3132 3372 3456 3712 4096 4176 4496 4608 5058 5568 6144 6264 6744 6912 7424 7587 8149 8352 8992 9216 10116 11136 12288 12528 13488 13824 14848 15174 16298 16704 17984 18432 20232 22272 24447 25056 26976 27648 29696 30348 32596 33408 35968 36864 40464 44544 48894 50112 53952 55296 59392 60696 65192 66816 71936 73341 80928 89088 97788 100224 107904 110592 118784 121392 130384 133632 140897 143872 146682 161856 178176 195576 200448 215808 220023 242784 260768 267264 281794 287744 293364 323712 356352 391152 400896 422691 431616 440046 485568 521536 534528 563588 575488 586728 647424 782304 801792 845382 863232 880092 971136 1043072 1069056 1127176 1150976 1173456 1268073 1294848 1564608 1603584 1690764 1726464 1760184 1942272 2086144 2254352 2346912 2536146 2589696 3129216 3207168 3381528 3452928 3520368 3804219 3884544 4086013 4172288 4508704 4693824 5072292 5179392 6258432 6763056 7040736 7608438 7769088 8172026 8344576 9017408 9387648 10144584 10358784 12258039 12516864 13526112 14081472 15216876 15538176 16344052 16689152 18034816 18775296 20289168 24516078 25033728 27052224 28162944 30433752 31076352 32688104 33378304 36069632 36774117 37550592 39592057 40578336 49032156 50067456 54104448 56325888 60867504 65376208 72139264 73548234 75101184 79184114 81156672 98064312 100134912 108208896 110322351 112651776 118776171 121735008 130752416 144278528 147096468 150202368 158368228 162313344 196128624 216417792 220644702 225303552 237552342 243470016 261504832 288557056 294192936 300404736 316736456 324626688 356328513 392257248 432835584 441289404 450607104 475104684 486940032 523009664 577114112 588385872 633472912 649253376 712657026 784514496 865671168 882578808 901214208 950209368 973880064 1046019328 1068985539 1148169653 1176771744 1266945824 1298506752 1425314052 1569028992 1731342336 1765157616 1900418736 1947760128 2092038656 2137971078 2296339306 2353543488 2533891648 2597013504 2850628104 3138057984 3444508959 3530315232 3800837472 3895520256 4184077312 4275942156 4592678612 4707086976 5067783296 5194027008 5701256208 6276115968 6889017918 7060630464 7601674944 7791040512 8368154624 8551884312 9185357224 9414173952 10135566592 10333526877 11402512416 12552231936 13778035836 14121260928 15203349888 15582081024 16736309248 17103768624 18370714448 18828347904 20271133184 20667053754 22805024832 25104463872 27556071672 28242521856 30406699776 31000580631 34207537248 36741428896 37656695808 40542266368 41334107508 45610049664 50208927744 55112143344 56485043712 60813399552 62001161262 68415074496 73482857792 75313391616 81084532736 82668215016 91220099328 110224286688 112970087424 121626799104 124002322524 136830148992 146965715584 150626783232 162169065472 165336430032 182440198656 220448573376 225940174848 243253598208 248004645048 273660297984 293931431168 330672860064 364880397312 440897146752 451880349696 486507196416 496009290096 547320595968 587862862336 661345720128 729760794624 881794293504 992018580192 1094641191936 1175725724672 1322691440256 1459521589248 1763588587008 1984037160384 2189282383872 2351451449344 2645382880512 3527177174016 3968074320768 4378564767744 4702902898688 5290765761024 7054354348032 7936148641536 10581531522048 14108708696064 15872297283072 21163063044096 31744594566144 42326126088192 63489189132288 126978378264576
• Sum of all divisors σ(n): 390545923291200
• Sum of proper divisors (its aliquot sum) s(n): 263567545026624
• 126978378264576 is an abundant number, because the sum of its proper divisors (263567545026624) is greater than itself. Its abundance is 136589166762048

Bases of 126978378264576

• Binary: 11100110111110001110101001000010111000000000000₂
• Hexadecimal: 0x737C75217000
• Base-36: 190D27XMO0

Squares and roots of 126978378264576

• 126978378264576 squared (126978378264576²) is 16123508546701746745456459776
• 126978378264576 cubed (126978378264576³) is 2047336967195218448757001478904611629694976
• The square root of 126978378264576 is 11268468.3193669227
• The cube root of 126978378264576 is 50262.4042398283

Scales and comparisons

• 126,978,378,264,576 seconds is equal to 4,037,519 years, 34 weeks, 1 day, 20 hours, 9 minutes, 36 seconds.
• To count from 1 to 126,978,378,264,576 would take you about ten million, ninety-three thousand, seven hundred ninety-nine 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 126978378264576 cubic inches would be around 4188.5 feet tall.

Recreational maths with 126978378264576

• 126978378264576 backwards is 675462873879621
• The number of decimal digits it has is: 15
• The sum of 126978378264576's digits is 81
• More coming soon!