138400403577408

Names of 138400403577408

• Cardinal: 138400403577408 can be written as One hundred thirty-eight trillion, four hundred billion, four hundred three million, five hundred seventy-seven thousand, four hundred eight.

Scientific notation

• Scientific notation: 1.38400403577408 × 10¹⁴

Factors of 138400403577408

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1486

Divisors of 138400403577408

• Number of divisors d(n): 1512
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 49 56 57 63 64 72 76 79 84 96 98 112 114 126 133 139 144 147 152 158 168 171 192 196 224 228 237 252 266 278 288 294 304 316 336 342 361 392 399 417 441 448 456 474 504 532 553 556 576 588 608 632 672 684 711 722 784 798 834 882 912 931 948 973 1008 1064 1083 1106 1112 1176 1197 1216 1237 1251 1264 1344 1368 1422 1444 1501 1568 1596 1659 1668 1764 1824 1862 1896 1946 2016 2128 2166 2212 2224 2352 2394 2474 2502 2527 2528 2641 2736 2793 2844 2888 2919 3002 3136 3192 3249 3318 3336 3528 3648 3711 3724 3792 3871 3892 4032 4256 4332 4424 4448 4503 4704 4788 4948 4977 5004 5054 5056 5282 5472 5586 5688 5776 5838 6004 6384 6498 6636 6672 6811 7056 7422 7448 7581 7584 7742 7784 7923 8379 8512 8659 8664 8757 8848 8896 9006 9408 9576 9896 9954 10008 10108 10507 10564 10944 10981 11133 11172 11376 11552 11613 11676 12008 12768 12996 13272 13344 13509 13622 14112 14844 14896 15162 15168 15484 15568 15846 16758 17318 17328 17514 17689 17696 18012 18487 19152 19792 19908 20016 20216 20433 21014 21128 21962 22266 22344 22743 22752 23104 23226 23352 23503 23769 24016 25536 25977 25992 26544 26688 27018 27244 28224 28519 29688 29792 30324 30968 31136 31521 31692 32943 33516 34636 34656 34839 35028 35378 35392 36024 36974 38304 39584 39816 40032 40432 40866 42028 42256 43924 44532 44688 45486 45504 46452 46704 47006 47538 48032 50179 51954 51984 53067 53088 54036 54488 55461 57038 59376 59584 60613 60648 61299 61936 62272 63042 63384 65886 67032 69272 69312 69678 70056 70509 70756 72048 73549 73948 76608 76867 77931 79168 79632 80064 80864 81732 84056 84512 85557 87848 89064 89376 90972 92904 93408 94012 94563 95076 96064 97723 98829 100358 103908 103968 106134 106176 108072 108976 110922 114076 118752 121226 121296 122598 123872 126084 126768 129409 131772 134064 138544 139356 140112 141018 141512 144096 147098 147896 150537 153734 155862 159201 159264 161728 163464 164521 166383 168112 169024 171114 171943 175696 178128 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• Sum of all divisors σ(n): 497147857315200
• Sum of proper divisors (its aliquot sum) s(n): 358747453737792
• 138400403577408 is an abundant number, because the sum of its proper divisors (358747453737792) is greater than itself. Its abundance is 220347050160384

Bases of 138400403577408

• Binary: 11111011101111111011010111001000101101001000000₂
• Hexadecimal: 0x7DDFDAE45A40
• Base-36: 1D249MWB40

Squares and roots of 138400403577408

• 138400403577408 squared (138400403577408²) is 19154671710389409124247998464
• 138400403577408 cubed (138400403577408³) is 2651014295110654192680328002974769289101312
• The square root of 138400403577408 is 11764370.0884241141
• The cube root of 138400403577408 is 51726.4236172543

Scales and comparisons

• 138,400,403,577,408 seconds is equal to 4,400,704 years, 38 weeks, 21 hours, 16 minutes, 48 seconds.
• To count from 1 to 138,400,403,577,408 would take you about eleven million, one thousand, seven hundred sixty-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 138400403577408 cubic inches would be around 4310.5 feet tall.

Recreational maths with 138400403577408

• 138400403577408 backwards is 804775304004831
• The number of decimal digits it has is: 15
• The sum of 138400403577408's digits is 54
• More coming soon!