138209838624

Names of 138209838624

• Cardinal: 138209838624 can be written as One hundred thirty-eight billion, two hundred nine million, eight hundred thirty-eight thousand, six hundred twenty-four.

Scientific notation

• Scientific notation: 1.38209838624 × 10¹¹

Factors of 138209838624

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 3216

Divisors of 138209838624

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 54 66 72 78 81 88 96 99 104 108 117 132 143 144 156 162 169 176 198 208 216 234 243 264 286 288 297 312 324 338 351 352 396 416 429 432 468 486 507 528 572 594 624 648 676 702 729 792 858 864 891 936 972 1014 1053 1056 1144 1188 1248 1287 1296 1352 1404 1458 1521 1584 1716 1782 1859 1872 1944 2028 2106 2288 2376 2574 2592 2673 2704 2808 2916 3042 3159 3168 3187 3432 3564 3718 3744 3861 3888 4056 4212 4563 4576 4752 5148 5346 5408 5577 5616 5832 6084 6318 6374 6864 7128 7436 7722 7776 8019 8112 8424 9126 9477 9504 9561 10296 10692 11154 11232 11583 11664 12168 12636 12748 13689 13728 14256 14872 15444 16038 16224 16731 16848 18252 18954 19122 20592 21384 22308 23166 23328 24336 25272 25496 27378 28512 28683 29744 30888 32076 33462 33696 34749 35057 36504 37908 38244 41067 41184 41431 42768 44616 46332 48672 50193 50544 50992 54756 57366 59488 61776 64152 66924 69498 70114 73008 75816 76488 82134 82862 85536 86049 89232 92664 100386 101088 101984 104247 105171 109512 114732 123201 123552 124293 128304 133848 138996 140228 146016 150579 151632 152976 164268 165724 172098 178464 185328 200772 208494 210342 219024 229464 246402 248586 256608 258147 267696 277992 280456 301158 303264 305952 315513 328536 331448 344196 370656 372879 401544 416988 420684 438048 451737 455741 458928 492804 497172 516294 535392 538603 555984 560912 602316 631026 657072 662896 688392 745758 774441 803088 833976 841368 903474 911482 917856 946539 985608 994344 1032588 1077206 1111968 1118637 1121824 1204632 1262052 1314144 1325792 1355211 1367223 1376784 1491516 1548882 1606176 1615809 1667952 1682736 1806948 1822964 1893078 1971216 1988688 2065176 2154412 2237274 2323323 2409264 2524104 2710422 2734446 2753568 2839617 2983032 3097764 3231618 3335904 3355911 3365472 3613896 3645928 3786156 3942432 3977376 4101669 4130352 4308824 4474548 4646646 4818528 4847427 5048208 5420844 5468892 5679234 5924633 5966064 6195528 6463236 6711822 7227792 7291856 7572312 8203338 8260704 8518851 8617648 8949096 9293292 9694854 10067733 10096416 10841688 10937784 11358468 11849266 11932128 12305007 12391056 12926472 13423644 14455584 14542281 14583712 15144624 16406676 17037702 17235296 17773899 17898192 18586584 19389708 20135466 21683376 21875568 22716936 23698532 24610014 24782112 25556553 25852944 26847288 29084562 30203199 30289248 32813352 34075404 35547798 35796384 36915021 37173168 38779416 40270932 43366752 43626843 43751136 45433872 47397064 49220028 51113106 51705888 53321697 53694576 58169124 60406398 65626704 68150808 71095596 73830042 74346336 77558832 80541864 87253686 90867744 94794128 98440056 102226212 106643394 107389152 110745063 116338248 120812796 130880529 131253408 136301616 142191192 147660084 155117664 159965091 161083728 174507372 189588256 196880112 204452424 213286788 221490126 232676496 241625592 261761058 272603232 284382384 295320168 319930182 322167456 332235189 349014744 392641587 393760224 408904848 426573576 442980252 465352992 479895273 483251184 523522116 568764768 590640336 639860364 664470378 698029488 785283174 817809696 853147152 885960504 959790546 966502368 1047044232 1181280672 1279720728 1328940756 1396058976 1439685819 1570566348 1706294304 1771921008 1919581092 2094088464 2559441456 2657881512 2879371638 3141132696 3543842016 3839162184 4188176928 4319057457 5118882912 5315763024 5758743276 6282265392 7678324368 8638114914 10631526048 11517486552 12564530784 15356648736 17276229828 23034973104 34552459656 46069946208 69104919312 138209838624
• Sum of all divisors σ(n): 482071392432
• Sum of proper divisors (its aliquot sum) s(n): 343861553808
• 138209838624 is an abundant number, because the sum of its proper divisors (343861553808) is greater than itself. Its abundance is 205651715184

Bases of 138209838624

• Binary: 10000000101101111100101100011000100000₂
• Hexadecimal: 0x202DF2C620
• Base-36: 1RHQKI00

Squares and roots of 138209838624

• 138209838624 squared (138209838624²) is 19101959492472122213376
• 138209838624 cubed (138209838624³) is 2640078738856756953929502654234624
• The square root of 138209838624 is 371765.8384305907
• The cube root of 138209838624 is 5170.2671829215

Scales and comparisons

• 138,209,838,624 seconds is equal to 4,394 years, 33 weeks, 3 days, 21 hours, 50 minutes, 24 seconds.
• To count from 1 to 138,209,838,624 would take you about eight thousand, seven hundred eighty-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 138209838624 cubic inches would be around 430.9 feet tall.

Recreational maths with 138209838624

• 138209838624 backwards is 426838902831
• 138209838624 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138209838624's digits is 54
• More coming soon!