138222413404810083

Names of 138222413404810083

• Cardinal: 138222413404810083 can be written as One hundred thirty-eight quadrillion, two hundred twenty-two trillion, four hundred thirteen billion, four hundred four million, eight hundred ten thousand and eighty-three.

Scientific notation

• Scientific notation: 1.38222413404810083 × 10¹⁷

Factors of 138222413404810083

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 3940

Divisors of 138222413404810083

• Number of divisors d(n): 384
• Complete list of divisors:
  1 3 9 19 23 57 69 89 171 207 267 307 437 683 801 921 1093 1311 1691 1723 2047 2049 2763 3279 3933 5073 5169 5833 6141 6147 7061 9837 12977 15219 15507 15709 17499 18423 20767 21183 25139 27323 32737 38893 38931 39629 47127 52497 60787 62301 63549 75417 81969 97277 98211 116679 116793 118887 134159 141381 153347 182361 186903 209681 226251 245907 291831 294633 298471 335551 350037 356661 402477 460041 477641 519137 528961 547083 628429 629043 746519 752951 875493 895413 1006653 1154953 1176809 1207431 1380123 1398101 1432923 1557411 1586883 1848263 1883239 1885287 1887129 2237371 2239557 2258853 2686239 2913593 3019959 3464859 3526981 3530427 3983939 4194303 4298769 4672233 4760649 4822663 5544789 5649717 5655861 6375469 6712113 6718671 6776559 7717673 8740779 10050259 10394577 10580943 10591281 11940151 11951817 12166103 12582909 14183861 14467989 16634367 16949151 17169937 18661609 19126407 20136339 22359371 23153019 26222337 26563919 27066607 29864039 30150777 31742829 35781541 35820453 35855451 36498309 42510049 42551583 43314497 43403967 47077529 51509811 55984827 57379221 66440191 67012639 67078113 69459057 79691757 81199821 89592117 90452331 91630597 104736001 107344623 107461359 109494927 127530147 127654749 129943491 141232587 146635787 154529433 167608271 167954481 199320573 201037917 201234339 229181333 231155957 239075271 243599463 268776351 274891791 314208003 322033869 326228803 354570571 361280363 382590441 389830473 423697761 429217007 439907361 502824813 514265533 567416741 578154373 597961719 603113751 686872897 687543999 693467871 822975443 824675373 894473051 942624009 978686409 1063711713 1082783167 1083841089 1262363629 1286252237 1287651021 1319722083 1508474439 1528124393 1542796599 1702250223 1734463119 1989984019 2060618691 2062631997 2080403613 2408928023 2468926329 2683419153 2936059227 3184557149 3191135139 3248349501 3251523267 3787090887 3854990233 3858756711 3862953063 4354445327 4584373179 4628389797 5106750669 5203389357 5271170659 5969952057 6181856073 6864326897 7226784069 7406778987 8050257459 8155123133 8309448349 9553671447 9745048503 10984933087 11361272661 11564970699 11576270133 13050585043 13063335981 13297550579 13753119537 15813511977 17909856171 20397138637 20572880173 20592980691 21680352207 24438792503 24465369399 24928345047 28661014341 29034363467 29583801451 32153952307 32954799261 34694912097 39151755129 39190007943 39892651737 45769632437 47440535931 51455739197 61191415911 61718640519 61778942073 73244814427 73316377509 73396108197 74785035141 87103090401 88751404353 96461856921 98864397783 100152242521 114476449093 117455265387 119677955211 137308897311 154367217591 157879518631 183574247733 185155921557 219734443281 219949132527 252653461001 261309271203 266254213059 289385570763 300456727563 343429347279 387545634103 394879436759 411926691933 463101652773 469134188651 473638555893 562092227569 610925093833 659203329843 739540903061 757960383003 901370182689 977659044743 1030288041837 1162636902309 1183482001531 1184638310277 1407402565953 1420915667679 1686276682707 1832775281499 2175052532767 2218622709183 2273881149009 2632958329139 2932977134229 3487910706927 3550446004593 3553914930831 4222207697859 5058830048121 5498325844497 6525157598301 6655868127549 7502709298421 7898874987417 8798931402687 8913549584369 9082227045457 10651338013779 14051277158159 19575472794903 22486158029089 22508127895263 23696624962251 26740648753107 27246681136371 35144269871551 42153831474477 50026208253641 67458474087267 67524383685789 80221946259321 81740043409113 105432809614653 126461494423431 150078624760923 172562313863683 202375422261801 316298428843959 450235874282769 517686941591049 667741127559469 808318207045673 1553060824773147 2003223382678407 2424954621137019 6009670148035221 7274863863411057 15358045933867787 46074137801603361 138222413404810083
• Sum of all divisors σ(n): 223145688897331200
• Sum of proper divisors (its aliquot sum) s(n): 84923275492521117
• 138222413404810083 is a deficient number, because the sum of its proper divisors (84923275492521117) is less than itself. Its deficiency is 53299137912288966

Bases of 138222413404810083

• Binary: 111101011000100001000110101111010111111011010101101100011₂
• Hexadecimal: 0x1EB108D7AFDAB63
• Base-36: 11SZR8409MQR

Squares and roots of 138222413404810083

• 138222413404810083 squared (138222413404810083²) is 19105435567450222121851761298466889
• 138222413404810083 cubed (138222413404810083³) is 2640799413283066916879006990489354203111726108841787
• The square root of 138222413404810083 is 371782750.2787213539
• The cube root of 138222413404810083 is 517042.3980743207

Scales and comparisons

• 138,222,413,404,810,083 seconds is equal to 4,395,045,196 years, 14 weeks, 2 days, 13 hours, 28 minutes, 3 seconds.
• To count from 1 to 138,222,413,404,810,083 would take you about thirteen billion, one hundred eighty-five million, one hundred thirty-five thousand, five hundred eighty-eight 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 138222413404810083 cubic inches would be around 43086.9 feet tall.

Recreational maths with 138222413404810083

• 138222413404810083 backwards is 380018404314222831
• The number of decimal digits it has is: 18
• The sum of 138222413404810083's digits is 54
• More coming soon!