138183645782016

Names of 138183645782016

• Cardinal: 138183645782016 can be written as One hundred thirty-eight trillion, one hundred eighty-three billion, six hundred forty-five million, seven hundred eighty-two thousand and sixteen.

Scientific notation

• Scientific notation: 1.38183645782016 × 10¹⁴

Factors of 138183645782016

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 1528

Divisors of 138183645782016

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 127 128 144 192 214 254 256 288 321 381 384 428 508 512 576 642 762 768 856 963 1016 1024 1143 1152 1284 1289 1524 1536 1712 1926 2032 2048 2286 2304 2568 2578 3048 3072 3424 3852 3867 4064 4096 4572 4608 5136 5156 6096 6144 6848 7704 7734 8128 8192 9144 9216 10272 10312 11449 11601 12192 12288 13589 13696 15408 15468 16256 18288 18432 20544 20624 22898 23202 24384 24576 27178 27392 30816 30936 32512 34347 36576 36864 40767 41088 41248 45796 46404 48768 54356 54784 61632 61872 65024 68694 73152 73728 81534 82176 82496 91592 92808 97536 103041 108712 109568 122301 123264 123744 130048 137388 137923 146304 163068 163703 164352 164992 183184 185616 195072 206082 217424 219136 244602 246528 247488 260096 274776 275846 292608 326136 327406 328704 329984 366368 371232 390144 412164 413769 434848 438272 489204 491109 493056 494976 520192 549552 551692 585216 652272 654812 657408 659968 732736 742464 780288 824328 827538 869696 876544 978408 982218 986112 989952 1040384 1099104 1103384 1170432 1241307 1304544 1309624 1314816 1319936 1454023 1465472 1473327 1484928 1560576 1648656 1655076 1739392 1956816 1964436 1972224 1979904 2198208 2206768 2340864 2482614 2609088 2619248 2629632 2639872 2908046 2930944 2946654 2969856 3121152 3297312 3310152 3478784 3913632 3928872 3944448 3959808 4362069 4396416 4413536 4681728 4965228 5218176 5238496 5279744 5816092 5861888 5893308 5939712 6594624 6620304 6957568 7827264 7857744 7888896 7919616 8724138 8792832 8827072 9363456 9930456 10436352 10476992 10559488 11632184 11723776 11786616 11879424 13086207 13189248 13240608 13915136 14757761 15654528 15715488 15839232 17448276 17516221 17585664 17654144 19860912 20872704 20953984 23264368 23447552 23573232 23758848 26172414 26378496 26481216 27830272 29515522 31309056 31430976 31678464 34896552 35032442 35171328 35308288 39721824 41745408 41907968 44273283 46528736 46895104 47146464 47517696 52344828 52548663 52756992 52962432 55660544 59031044 62618112 62861952 69793104 70064884 70342656 70616576 79443648 83490816 83815936 88546566 93057472 93790208 94292928 95035392 104689656 105097326 105513984 105924864 111321088 118062088 125236224 125723904 132819849 139586208 140129768 140685312 141233152 157645989 158887296 166981632 167631872 177093132 186114944 188585856 209379312 210194652 211027968 211849728 236124176 250472448 251447808 265639698 279172416 280259536 281370624 282466304 315291978 317774592 333963264 335263744 354186264 372229888 377171712 418758624 420389304 422055936 423699456 472248352 500944896 502895616 531279396 558344832 560519072 564932608 630583956 635549184 670527488 708372528 744459776 754343424 837517248 840778608 844111872 847398912 944496704 1001889792 1005791232 1062558792 1116689664 1121038144 1129865216 1261167912 1271098368 1341054976 1416745056 1488919552 1508686848 1675034496 1681557216 1694797824 1874235647 1888993408 2011582464 2125117584 2233379328 2242076288 2522335824 2542196736 2833490112 2977839104 3017373696 3350068992 3363114432 3389595648 3748471294 3777986816 4023164928 4250235168 4466758656 4484152576 5044671648 5084393472 5622706941 5666980224 5955678208 6034747392 6700137984 6726228864 7496942588 7555973632 8500470336 8933517312 8968305152 10089343296 10168786944 11245413882 11333960448 11911356416 12069494784 13400275968 13452457728 14993885176 15111947264 16868120823 17000940672 17867034624 17936610304 20178686592 22490827764 22667920896 26800551936 26904915456 29987770352 30223894528 33736241646 34001881344 35734069248 35873220608 40357373184 44981655528 45335841792 53601103872 53809830912 59975540704 60447789056 67472483292 68003762688 71746441216 80714746368 89963311056 90671683584 107202207744 107619661824 119951081408 120895578112 134944966584 136007525376 143492882432 161429492736 179926622112 181343367168 215239323648 239902162816 269889933168 272015050752 322858985472 359853244224 362686734336 430478647296 479804325632 539779866336 544030101504 645717970944 719706488448 959608651264 1079559732672 1088060203008 1291435941888 1439412976896 1919217302528 2159119465344 2878825953792 3838434605056 4318238930688 5757651907584 7676869210112 8636477861376 11515303815168 15353738420224 17272955722752 23030607630336 34545911445504 46061215260672 69091822891008 138183645782016
• Sum of all divisors σ(n): 406426087791360
• Sum of proper divisors (its aliquot sum) s(n): 268242442009344
• 138183645782016 is an abundant number, because the sum of its proper divisors (268242442009344) is greater than itself. Its abundance is 130058796227328

Bases of 138183645782016

• Binary: 11111011010110101100011000111101110000000000000₂
• Hexadecimal: 0x7DAD631EE000
• Base-36: 1CZCOUWHS0

Squares and roots of 138183645782016

• 138183645782016 squared (138183645782016²) is 19094719961609668268189024256
• 138183645782016 cubed (138183645782016³) is 2638578019481860554037343261103601112580096
• The square root of 138183645782016 is 11755154.0092852889
• The cube root of 138183645782016 is 51699.4054783643

Scales and comparisons

• 138,183,645,782,016 seconds is equal to 4,393,812 years, 26 weeks, 2 days, 2 hours, 33 minutes, 36 seconds.
• To count from 1 to 138,183,645,782,016 would take you about ten million, nine hundred eighty-four thousand, five hundred thirty-one 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 138183645782016 cubic inches would be around 4308.3 feet tall.

Recreational maths with 138183645782016

• 138183645782016 backwards is 610287546381831
• The number of decimal digits it has is: 15
• The sum of 138183645782016's digits is 63
• More coming soon!