138241218834432

Names of 138241218834432

• Cardinal: 138241218834432 can be written as One hundred thirty-eight trillion, two hundred forty-one billion, two hundred eighteen million, eight hundred thirty-four thousand, four hundred thirty-two.

Scientific notation

• Scientific notation: 1.38241218834432 × 10¹⁴

Factors of 138241218834432

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 520633

Divisors of 138241218834432

• Number of divisors d(n): 520
• 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 84 96 98 108 112 126 128 144 147 168 189 192 196 216 224 252 256 288 294 336 343 378 384 392 432 441 448 504 512 576 588 672 686 756 768 784 864 882 896 1008 1024 1029 1152 1176 1323 1344 1372 1512 1536 1568 1728 1764 1792 2016 2048 2058 2304 2352 2401 2646 2688 2744 3024 3072 3087 3136 3456 3528 3584 4032 4096 4116 4608 4704 4802 5292 5376 5488 6048 6144 6174 6272 6912 7056 7168 7203 8064 8232 9216 9261 9408 9604 10584 10752 10976 12096 12288 12348 12544 13824 14112 14336 14406 16128 16464 18432 18522 18816 19208 21168 21504 21609 21952 24192 24696 25088 27648 28224 28672 28812 32256 32928 36864 37044 37632 38416 42336 43008 43218 43904 48384 49392 50176 55296 56448 57624 64512 64827 65856 74088 75264 76832 84672 86016 86436 87808 96768 98784 100352 110592 112896 115248 129024 129654 131712 148176 150528 153664 169344 172872 175616 193536 197568 200704 225792 230496 258048 259308 263424 296352 301056 307328 338688 345744 351232 387072 395136 451584 460992 518616 520621 526848 592704 602112 614656 677376 691488 702464 774144 790272 903168 921984 1037232 1041242 1053696 1185408 1229312 1354752 1382976 1404928 1561863 1580544 1806336 1843968 2074464 2082484 2107392 2370816 2458624 2709504 2765952 3123726 3161088 3644347 3687936 4148928 4164968 4214784 4685589 4741632 4917248 5419008 5531904 6247452 6322176 7288694 7375872 8297856 8329936 9371178 9483264 9834496 10933041 11063808 12494904 12644352 14056767 14577388 14751744 16595712 16659872 18742356 18966528 21866082 22127616 24989808 25510429 28113534 29154776 29503488 32799123 33191424 33319744 37484712 37933056 43732164 44255232 49979616 51020858 56227068 58309552 65598246 66382848 66639488 74969424 76531287 87464328 88510464 98397369 99959232 102041716 112454136 116619104 131196492 132765696 133278976 149938848 153062574 174928656 178573003 196794738 199918464 204083432 224908272 229593861 233238208 262392984 265531392 266557952 299877696 306125148 349857312 357146006 393589476 399836928 408166864 449816544 459187722 466476416 524785968 533115904 535719009 599755392 612250296 688781583 699714624 714292012 787178952 799673856 816333728 899633088 918375444 932952832 1049571936 1066231808 1071438018 1199510784 1224500592 1250011021 1377563166 1399429248 1428584024 1574357904 1599347712 1607157027 1632667456 1799266176 1836750888 1865905664 2099143872 2132463616 2142876036 2399021568 2449001184 2500022042 2755126332 2798858496 2857168048 3148715808 3198695424 3214314054 3265334912 3598532352 3673501776 3731811328 3750033063 4198287744 4285752072 4798043136 4821471081 4898002368 5000044084 5510252664 5597716992 5714336096 6297431616 6397390848 6428628108 6530669824 7197064704 7347003552 7463622656 7500066126 8396575488 8571504144 9596086272 9642942162 9796004736 10000088168 11020505328 11195433984 11250099189 11428672192 12594863232 12857256216 13061339648 14394129408 14694007104 14927245312 15000132252 16793150976 17143008288 19192172544 19285884324 19592009472 20000176336 22041010656 22390867968 22500198378 22857344384 25189726464 25714512432 26122679296 28788258816 29388014208 30000264504 33586301952 33750297567 34286016576 38571768648 39184018944 40000352672 44082021312 44781735936 45000396756 45714688768 50379452928 51429024864 52245358592 57576517632 58776028416 60000529008 67172603904 67500595134 68572033152 77143537296 78368037888 80000705344 88164042624 90000793512 91429377536 100758905856 102858049728 104490717184 117552056832 120001058016 134345207808 135001190268 137144066304 154287074592 156736075776 160001410688 176328085248 180001587024 182858755072 201517811712 205716099456 235104113664 240002116032 270002380536 274288132608 308574149184 313472151552 320002821376 352656170496 360003174048 365717510144 403035623424 411432198912 470208227328 480004232064 540004761072 548576265216 617148298368 640005642752 705312340992 720006348096 731435020288 822864397824 940416454656 960008464128 1080009522144 1097152530432 1234296596736 1280011285504 1410624681984 1440012696192 1645728795648 1920016928256 2160019044288 2194305060864 2468593193472 2560022571008 2821249363968 2880025392384 3291457591296 3840033856512 4320038088576 4937186386944 5120045142016 5760050784768 6582915182592 7680067713024 8640076177152 9874372773888 11520101569536 15360135426048 17280152354304 19748745547776 23040203139072 34560304708608 46080406278144 69120609417216 138241218834432
• Sum of all divisors σ(n): 477785034416080
• Sum of proper divisors (its aliquot sum) s(n): 339543815581648
• 138241218834432 is an abundant number, because the sum of its proper divisors (339543815581648) is greater than itself. Its abundance is 201302596747216

Bases of 138241218834432

• Binary: 11111011011101011001010101111011111000000000000₂
• Hexadecimal: 0x7DBACABDF000
• Base-36: 1D0350ETC0

Squares and roots of 138241218834432

• 138241218834432 squared (138241218834432²) is 19110634584829316732628762624
• 138241218834432 cubed (138241218834432³) is 2641877417706254105114676906815519685869568
• The square root of 138241218834432 is 11757602.5972318013
• The cube root of 138241218834432 is 51706.5845220769

Scales and comparisons

• 138,241,218,834,432 seconds is equal to 4,395,643 years, 7 weeks, 5 days, 21 hours, 7 minutes, 12 seconds.
• To count from 1 to 138,241,218,834,432 would take you about ten million, nine hundred eighty-nine thousand, one hundred seven 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 138241218834432 cubic inches would be around 4308.9 feet tall.

Recreational maths with 138241218834432

• 138241218834432 backwards is 234438812142831
• 138241218834432 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138241218834432's digits is 54
• More coming soon!