138407982336

Names of 138407982336

• Cardinal: 138407982336 can be written as One hundred thirty-eight billion, four hundred seven million, nine hundred eighty-two thousand, three hundred thirty-six.

Scientific notation

• Scientific notation: 1.38407982336 × 10¹¹

Factors of 138407982336

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 2586

Divisors of 138407982336

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 47 48 52 54 64 72 78 94 96 104 108 117 128 141 144 156 169 188 192 208 216 234 256 282 288 312 338 351 376 384 416 423 432 468 507 564 576 611 624 676 702 752 768 832 846 864 936 1014 1128 1152 1222 1248 1269 1352 1404 1504 1521 1664 1692 1728 1833 1872 2028 2256 2304 2444 2496 2521 2538 2704 2808 3008 3042 3328 3384 3456 3666 3744 4056 4512 4563 4888 4992 5042 5076 5408 5499 5616 6016 6084 6768 6912 7332 7488 7563 7943 8112 9024 9126 9776 9984 10084 10152 10816 10998 11232 12032 12168 13536 14664 14976 15126 15886 16224 16497 18048 18252 19552 20168 20304 21632 21996 22464 22689 23829 24336 27072 29328 29952 30252 31772 32448 32773 32994 36096 36504 39104 40336 40608 43264 43992 44928 45378 47658 48672 54144 58656 60504 63544 64896 65546 65988 68067 71487 73008 78208 80672 81216 87984 89856 90756 95316 97344 98319 108288 117312 118487 121008 127088 129792 131092 131976 136134 142974 146016 156416 161344 162432 175968 181512 190632 194688 196638 214461 234624 236974 242016 254176 262184 263952 272268 285948 292032 294957 322688 324864 351936 355461 363024 381264 389376 393276 426049 428922 469248 473948 484032 508352 524368 527904 544536 571896 584064 589914 645376 703872 710922 726048 762528 786552 852098 857844 884871 947896 968064 1016704 1048736 1055808 1066383 1089072 1143792 1168128 1179828 1278147 1407744 1421844 1452096 1525056 1540331 1573104 1704196 1715688 1769742 1895792 1936128 2033408 2097472 2111616 2132766 2178144 2287584 2359656 2556294 2843688 2904192 3050112 3080662 3146208 3199149 3408392 3431376 3539484 3791584 3834441 4194944 4223232 4265532 4356288 4575168 4620993 4719312 5112588 5687376 5808384 6100224 6161324 6292416 6398298 6816784 6862752 7078968 7583168 7668882 8389888 8531064 8712576 9150336 9241986 9438624 10225176 11374752 11503323 12322648 12584832 12796596 13633568 13725504 13862979 14157936 15166336 15337764 17062128 17425152 18300672 18483972 18877248 20024303 20450352 22749504 23006646 24645296 25169664 25593192 27267136 27451008 27725958 28315872 30332672 30675528 34124256 36967944 37754496 40048606 40900704 41588937 45499008 46013292 49290592 51186384 54534272 54902016 55451916 56631744 60072909 61351056 68248512 73935888 75508992 80097212 81801408 83177874 90998016 92026584 98581184 102372768 109068544 110903832 113263488 120145818 122702112 136497024 147871776 160194424 163602816 166355748 180218727 184053168 197162368 204745536 221807664 226526976 240291636 245404224 272994048 295743552 320388848 327205632 332711496 360437454 368106336 394324736 409491072 443615328 480583272 490808448 540656181 591487104 640777696 665422992 720874908 736212672 818982144 887230656 961166544 981616896 1081312362 1182974208 1281555392 1330845984 1441749816 1472425344 1774461312 1922333088 2162624724 2563110784 2661691968 2883499632 2944850688 3548922624 3844666176 4325249448 5126221568 5323383936 5766999264 7689332352 8650498896 10646767872 11533998528 15378664704 17300997792 23067997056 34601995584 46135994112 69203991168 138407982336
• Sum of all divisors σ(n): 452812389120
• Sum of proper divisors (its aliquot sum) s(n): 314404406784
• 138407982336 is an abundant number, because the sum of its proper divisors (314404406784) is greater than itself. Its abundance is 175996424448

Bases of 138407982336

• Binary: 10000000111001110000100011010100000000₂
• Hexadecimal: 0x2039C23500
• Base-36: 1RL0JEO0

Squares and roots of 138407982336

• 138407982336 squared (138407982336²) is 19156769574322488016896
• 138407982336 cubed (138407982336³) is 2651449824857649160610113237549056
• The square root of 138407982336 is 372032.2329261271
• The cube root of 138407982336 is 5172.7367773755

Scales and comparisons

• 138,407,982,336 seconds is equal to 4,400 years, 49 weeks, 1 day, 5 hours, 45 minutes, 36 seconds.
• To count from 1 to 138,407,982,336 would take you about eight thousand, eight hundred 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 138407982336 cubic inches would be around 431.1 feet tall.

Recreational maths with 138407982336

• 138407982336 backwards is 633289704831
• 138407982336 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138407982336's digits is 54
• More coming soon!