138016815146424

Names of 138016815146424

• Cardinal: 138016815146424 can be written as One hundred thirty-eight trillion, sixteen billion, eight hundred fifteen million, one hundred forty-six thousand, four hundred twenty-four.

Scientific notation

• Scientific notation: 1.38016815146424 × 10¹⁴

Factors of 138016815146424

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 252

Divisors of 138016815146424

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 67 72 81 93 108 124 134 149 162 186 201 216 248 268 279 298 324 372 402 447 536 558 596 603 648 744 804 837 894 961 1116 1192 1206 1341 1608 1674 1788 1809 1922 2077 2232 2412 2511 2682 2883 3348 3576 3618 3844 4023 4154 4619 4824 5022 5364 5427 5766 6231 6696 7236 7688 8046 8308 8649 9238 9983 10044 10728 10854 11532 12069 12462 13857 14472 16092 16616 17298 18476 18693 19966 20088 21708 22201 23064 24138 24924 25947 27714 29949 32184 34596 36952 37386 39932 41571 43416 44402 48276 49848 51894 55428 56079 59898 64387 66603 69192 74772 77841 79864 83142 88804 89847 96552 103788 110856 112158 119796 124713 128774 133206 143189 149544 155682 166284 168237 177608 179694 193161 199809 207576 224316 239592 249426 257548 266412 269541 286378 309473 311364 332568 336474 359388 374139 386322 399618 429567 448632 498852 515096 532824 539082 572756 579483 599427 618946 622728 672948 688231 718776 748278 772644 799236 808623 859134 928419 997704 1078164 1145512 1158966 1198854 1237892 1288701 1345896 1376462 1487467 1496556 1545288 1598472 1617246 1718268 1738449 1798281 1856838 2064693 2156328 2317932 2397708 2475784 2577402 2752924 2785257 2974934 2993112 3234492 3307949 3436536 3476898 3596562 3713676 3866103 4129386 4462401 4635864 4795416 5154804 5215347 5505848 5570514 5949868 6194079 6468984 6615898 6953796 7193124 7427352 7732206 8258772 8355771 8924802 9593663 9923847 10309608 10430694 11141028 11598309 11899736 12388158 13231796 13387203 13907592 14386248 15464412 16517544 16711542 17849604 18582237 19187326 19847694 20861388 21335161 22282056 23196618 24776316 25067313 26463592 26774406 28780989 29771541 30928824 33423084 35699208 37164474 38374652 39695388 40161609 41722776 42670322 46111477 46393236 49552632 50134626 53548812 55746711 57561978 59543082 64005483 66846168 74328948 76749304 79390776 80323218 85340644 86342967 89314623 92222954 92786472 100269252 102546419 107097624 111493422 115123956 119086164 120484827 128010966 138334431 148657896 160646436 170681288 172685934 178629246 184445908 192016449 200538504 205092838 221632583 222986844 230247912 238172328 240969654 256021932 259028901 267943869 276668862 307639257 321292872 345371868 357258492 368891816 384032898 410185676 415003293 443265166 445973688 481939308 512043864 518057802 535887738 553337724 576049347 615278514 664897749 690743736 714516984 768065796 777086703 820371352 830006586 886530332 922917771 963878616 1036115604 1071775476 1106675448 1152098694 1230557028 1245009879 1329795498 1429455787 1536131592 1554173406 1660013172 1728148041 1773060664 1845835542 1994693247 2072231208 2143550952 2304197388 2461114056 2490019758 2659590996 2768753313 2858911574 3108346812 3178938989 3320026344 3456296082 3691671084 3735029637 3989386494 4288367361 4608394776 4980039516 5319181992 5537506626 5717823148 5984079741 6216693624 6357877978 6870610073 6912592164 7383342168 7470059274 7978772988 8306259939 8576734722 9536816967 9960079032 11075013252 11435646296 11968159482 12715755956 12865102083 13741220146 13825184328 14940118548 15957545976 16612519878 17153469444 17952239223 19073633934 20611830219 22150026504 23936318964 25431511912 25730204166 27482440292 28610450901 29880237096 33225039756 34306938888 35904478446 38147267868 38595306249 41223660438 47872637928 51460408332 54964880584 57220901802 61835490657 66450079512 71808956892 76294535736 77190612498 82447320876 85831352703 102920816664 114441803604 115785918747 123670981314 143617913784 154381224996 164894641752 171662705406 185506471971 212988912263 228883607208 231571837494 247341962628 257494058109 308762449992 343325410812 371012943942 425977824526 463143674988 494683925256 514988116218 556519415913 638966736789 686650821624 742025887884 851955649052 926287349976 1029976232436 1113038831826 1277933473578 1484051775768 1703911298104 1916900210367 2059952464872 2226077663652 2555866947156 3833800420734 4452155327304 5111733894312 5750700631101 7667600841468 11501401262202 15335201682936 17252101893303 23002802524404 34504203786606 46005605048808 69008407573212 138016815146424
• Sum of all divisors σ(n): 408148446618000
• Sum of proper divisors (its aliquot sum) s(n): 270131631471576
• 138016815146424 is an abundant number, because the sum of its proper divisors (270131631471576) is greater than itself. Its abundance is 132114816325152

Bases of 138016815146424

• Binary: 11111011000011010001011001111010110010110111000₂
• Hexadecimal: 0x7D868B3D65B8
• Base-36: 1CX81S8ZI0

Squares and roots of 138016815146424

• 138016815146424 squared (138016815146424²) is 19048641263162173260559987776
• 138016815146424 cubed (138016815146424³) is 2629032800008398230217912686786689090113024
• The square root of 138016815146424 is 11748055.8028306967
• The cube root of 138016815146424 is 51678.5913460937

Scales and comparisons

• 138,016,815,146,424 seconds is equal to 4,388,507 years, 41 weeks, 6 days, 23 hours, 20 minutes, 24 seconds.
• To count from 1 to 138,016,815,146,424 would take you about ten million, nine hundred seventy-one thousand, two hundred sixty-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 138016815146424 cubic inches would be around 4306.5 feet tall.

Recreational maths with 138016815146424

• 138016815146424 backwards is 424641518610831
• 138016815146424 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138016815146424's digits is 54
• More coming soon!