138824014069224

Names of 138824014069224

• Cardinal: 138824014069224 can be written as One hundred thirty-eight trillion, eight hundred twenty-four billion, fourteen million, sixty-nine thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 1.38824014069224 × 10¹⁴

Factors of 138824014069224

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 598

Divisors of 138824014069224

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 41 44 54 66 72 81 82 88 99 108 123 132 162 164 198 216 243 246 264 297 324 328 369 396 451 486 492 541 594 648 738 792 891 902 972 984 1082 1107 1188 1353 1476 1623 1782 1804 1944 2164 2214 2376 2673 2706 2952 3246 3321 3564 3608 4059 4328 4428 4869 5346 5412 5951 6492 6642 7128 8118 8856 9738 9963 10692 10824 11902 12177 12984 13284 14607 16236 17853 19476 19926 21384 22181 23804 24354 26568 29214 32472 35706 36531 38952 39852 43821 44362 47608 48708 53559 58428 66543 71412 73062 79704 87642 88724 97416 107118 109593 116856 131463 133086 142824 146124 160677 175284 177448 199629 214236 219186 243991 262926 266172 292248 292681 321354 350568 399258 428472 438372 482031 487982 525852 532344 585362 598887 642708 731973 798516 876744 878043 964062 975964 1051704 1170724 1197774 1285416 1446093 1463946 1597032 1756086 1796661 1928124 1951928 2195919 2341448 2395548 2634129 2892186 2927892 3219491 3512172 3593322 3856248 4391838 4791096 5268258 5389983 5784372 5855784 6438982 6587757 7024344 7186644 7902387 8783676 9658473 10536516 10779966 11568744 11999921 12877964 13175514 14373288 15804774 17567352 19316946 19763271 21073032 21559932 23707161 23999842 25755928 26351028 28975419 31609548 35999763 38633892 39526542 43119864 47414322 47999684 52702056 57950838 59289813 63219096 71121483 71999526 77267784 79053084 86926257 94828644 95999368 107999289 115901676 118579626 131999131 142242966 143999052 158106168 158340421 173852514 189657288 215998578 231803352 237159252 260778771 263998262 284485932 287998104 316680842 323997867 347705028 395997393 431997156 474318504 475021263 521557542 527996524 568971864 633361684 647995734 695410056 782336313 791994786 863994312 950042526 971993601 1043115084 1055993048 1187992179 1266723368 1295991468 1425063789 1564672626 1583989572 1741744631 1900085052 1943987202 2086230168 2375984358 2591982936 2850127578 2915980803 3129345252 3167979144 3483489262 3563976537 3800170104 3887974404 4275191367 4751968716 5225233893 5700255156 5831961606 6258690504 6491957261 6966978524 7127953074 7775948808 8550382734 9503937432 10450467786 10691929611 11400510312 11663923212 12825574101 12983914522 13933957048 14255906148 15675701679 17100765468 19475871783 20900935572 21383859222 23327846424 25651148202 25967829044 28511812296 31351403358 32075788833 34201530936 38476722303 38951743566 41801871144 42767718444 47027105037 51302296404 51935658088 58427615349 62702806716 64151577666 71411529871 76953444606 77903487132 85535436888 94054210074 102604592808 116855230698 125405613432 128303155332 141081315111 142823059742 153906889212 155806974264 175282846047 188108420148 214234589613 233710461396 256606310664 282162630222 285646119484 307813778424 350565692094 376216840296 423243945333 428469179226 467420922792 525848538141 564325260444 571292238968 642703768839 701131384188 846487890666 856938358452 1051697076282 1128650520888 1285407537678 1402262768376 1577545614423 1692975781332 1713876716904 1928111306517 2103394152564 2570815075356 3155091228846 3385951562664 3856222613034 4206788305128 5141630150712 5784333919551 6310182457692 7712445226068 11568667839102 12620364915384 15424890452136 17353001758653 23137335678204 34706003517306 46274671356408 69412007034612 138824014069224
• Sum of all divisors σ(n): 436534406904960
• Sum of proper divisors (its aliquot sum) s(n): 297710392835736
• 138824014069224 is an abundant number, because the sum of its proper divisors (297710392835736) is greater than itself. Its abundance is 158886378766512

Bases of 138824014069224

• Binary: 11111100100001001111100000010110111110111101000₂
• Hexadecimal: 0x7E427C0B7DE8
• Base-36: 1D7IVDNAI0

Squares and roots of 138824014069224

• 138824014069224 squared (138824014069224²) is 19272106882292103095063962176
• 138824014069224 cubed (138824014069224³) is 2675431236970907598978391360669202181671424
• The square root of 138824014069224 is 11782360.2927946489
• The cube root of 138824014069224 is 51779.1439308553

Scales and comparisons

• 138,824,014,069,224 seconds is equal to 4,414,174 years, 12 weeks, 2 days, 2 hours, 20 minutes, 24 seconds.
• To count from 1 to 138,824,014,069,224 would take you about eleven million, thirty-five thousand, four hundred thirty-five 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 138824014069224 cubic inches would be around 4314.9 feet tall.

Recreational maths with 138824014069224

• 138824014069224 backwards is 422960410428831
• 138824014069224 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138824014069224's digits is 54
• More coming soon!