138417223776

Names of 138417223776

• Cardinal: 138417223776 can be written as One hundred thirty-eight billion, four hundred seventeen million, two hundred twenty-three thousand, seven hundred seventy-six.

Scientific notation

• Scientific notation: 1.38417223776 × 10¹¹

Factors of 138417223776

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 586

Divisors of 138417223776

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 61 74 78 96 104 111 122 148 156 157 183 208 222 244 296 312 313 314 366 416 444 471 481 488 592 624 626 628 732 793 888 939 942 962 976 1184 1248 1252 1256 1443 1464 1586 1776 1878 1884 1924 1952 2041 2257 2379 2504 2512 2886 2928 3172 3552 3756 3768 3848 4069 4082 4514 4758 5008 5024 5772 5809 5856 6123 6344 6771 7512 7536 7696 8138 8164 9028 9516 9577 10016 11544 11581 11618 12207 12246 12688 13542 15024 15072 15392 16276 16328 17427 18056 19032 19093 19154 23088 23162 23236 24414 24492 25376 27084 28731 29341 30048 32552 32656 34743 34854 36112 38064 38186 38308 46176 46324 46472 48828 48984 49141 54168 57279 57462 58682 65104 65312 69486 69708 72224 75517 76128 76372 76616 88023 92648 92944 97656 97968 98282 108336 114558 114924 117364 124501 130208 138972 139416 147423 150553 151034 152744 153232 176046 185296 185888 195312 195936 196564 216672 226551 229116 229848 234728 248209 249002 277944 278832 294846 301106 302068 305488 306464 352092 354349 370592 373503 390624 393128 451659 453102 458232 459696 469456 496418 498004 555888 557664 589692 602212 604136 610976 638833 704184 706441 708698 744627 747006 786256 903318 906204 916464 919392 938912 992836 996008 1063047 1111776 1179384 1204424 1208272 1277666 1408368 1412882 1417396 1489254 1494012 1572512 1806636 1812408 1818217 1832928 1916499 1985672 1992016 2119323 2126094 2358768 2408848 2416544 2555332 2816736 2825764 2834792 2978508 2988024 2997601 3613272 3624816 3636434 3832998 3971344 3984032 4238646 4252188 4606537 4717536 4817696 5110664 5454651 5651528 5669584 5957016 5976048 5995202 7226544 7249632 7272868 7665996 7942688 8477292 8504376 8992803 9183733 9213074 10221328 10909302 11303056 11339168 11914032 11952096 11990404 13819611 14453088 14545736 15331992 16954584 17008752 17985606 18367466 18426148 20442656 21818604 22606112 23636821 23828064 23980808 27551199 27639222 29091472 30663984 33909168 34017504 35971212 36734932 36852296 38968813 43637208 47273642 47961616 55102398 55278444 58182944 61327968 67818336 70910463 71942424 73469864 73704592 77937626 87274416 94547284 95923232 110204796 110556888 110911237 116906439 141820926 143884848 146939728 147409184 155875252 174548832 189094568 220409592 221113776 221822474 233812878 283641852 287769696 293879456 311750504 332733711 378189136 440819184 442227552 443644948 467625756 567283704 623501008 665467422 756378272 881638368 887289896 935251512 1134567408 1247002016 1330934844 1441846081 1774579792 1870503024 2269134816 2661869688 2883692162 3549159584 3741006048 4325538243 5323739376 5767384324 8651076486 10647478752 11534768648 17302152972 23069537296 34604305944 46139074592 69208611888 138417223776
• Sum of all divisors σ(n): 412373356416
• Sum of proper divisors (its aliquot sum) s(n): 273956132640
• 138417223776 is an abundant number, because the sum of its proper divisors (273956132640) is greater than itself. Its abundance is 135538908864

Bases of 138417223776

• Binary: 10000000111010010011110011100001100000₂
• Hexadecimal: 0x203A4F3860
• Base-36: 1RL61HEO

Squares and roots of 138417223776

• 138417223776 squared (138417223776²) is 19159327837855259698176
• 138417223776 cubed (138417223776³) is 2651980968730157725541021611032576
• The square root of 138417223776 is 372044.6529329511
• The cube root of 138417223776 is 5172.8519019319

Scales and comparisons

• 138,417,223,776 seconds is equal to 4,401 years, 12 weeks, 3 days, 4 hours, 49 minutes, 36 seconds.
• To count from 1 to 138,417,223,776 would take you about eight thousand, eight hundred two 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 138417223776 cubic inches would be around 431.1 feet tall.

Recreational maths with 138417223776

• 138417223776 backwards is 677322714831
• The number of decimal digits it has is: 12
• The sum of 138417223776's digits is 51
• More coming soon!