138523874944

Names of 138523874944

• Cardinal: 138523874944 can be written as One hundred thirty-eight billion, five hundred twenty-three million, eight hundred seventy-four thousand, nine hundred forty-four.

Scientific notation

• Scientific notation: 1.38523874944 × 10¹¹

Factors of 138523874944

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 149

Divisors of 138523874944

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 4 7 8 13 14 16 17 26 28 32 34 37 49 52 56 64 68 73 74 91 98 104 112 119 128 136 146 148 182 196 208 221 224 238 259 272 292 296 364 392 416 442 448 476 481 511 518 544 584 592 629 637 728 784 832 833 884 896 949 952 962 1022 1036 1088 1168 1184 1241 1258 1274 1369 1456 1547 1568 1664 1666 1768 1813 1898 1904 1924 2044 2072 2176 2336 2368 2482 2516 2548 2701 2738 2912 3094 3136 3332 3367 3536 3577 3626 3796 3808 3848 4088 4144 4403 4672 4736 4964 5032 5096 5402 5476 5824 6188 6272 6643 6664 6734 7072 7154 7252 7592 7616 7696 8176 8177 8288 8687 8806 9344 9583 9928 10064 10192 10804 10829 10952 11648 12376 13286 13328 13468 14144 14308 14504 15184 15232 15392 16133 16352 16354 16576 17374 17612 17797 18907 19166 19856 20128 20384 21608 21658 21904 23273 23569 24752 26572 26656 26936 28288 28616 29008 30368 30784 30821 32266 32704 32708 33152 34748 35113 35224 35594 37814 38332 39712 40256 40768 43216 43316 43808 45917 46501 46546 47138 49504 53144 53312 53872 57232 57239 58016 60736 60809 61568 61642 64532 65408 65416 67081 69496 70226 70448 71188 75628 76664 79424 80512 81536 86432 86632 87616 91834 93002 93092 94276 99008 99937 106288 106624 107744 112931 114464 114478 116032 121472 121618 123284 124579 129064 130832 132349 134162 138992 140452 140896 142376 151256 153328 158848 162911 172864 173264 175232 183668 186004 186184 188552 198016 199874 212576 215488 225862 228928 228956 232064 243236 245791 246568 249158 258128 261664 264698 268324 277984 280904 281792 284752 302512 302549 306656 321419 325822 345728 346528 367336 372008 372368 377104 399748 400673 425152 430976 451724 457856 457912 486472 491582 493136 498316 516256 523328 529396 536648 555968 561808 563584 569504 596921 605024 605098 613312 642838 651644 693056 699559 734672 744016 744736 754208 790517 799496 801346 850304 872053 903448 915824 972944 983164 986272 996632 1032512 1046656 1058792 1073296 1111936 1123616 1139008 1140377 1193842 1210048 1210196 1226624 1285676 1299181 1303288 1386112 1399118 1469344 1488032 1489472 1508416 1581034 1598992 1602692 1698929 1720537 1744106 1806896 1831648 1945888 1966328 1972544 1993264 2065024 2117584 2117843 2146592 2247232 2249933 2278016 2280754 2387684 2420096 2420392 2571352 2598362 2606576 2798236 2938688 2976064 2978944 3016832 3162068 3197984 3205384 3397858 3441074 3488212 3613792 3663296 3891776 3932656 3945088 3986528 4178447 4235168 4235686 4293184 4494464 4499866 4561508 4775368 4840784 4896913 5142704 5196724 5213152 5596472 5877376 5952128 6324136 6395968 6410768 6795716 6882148 6976424 7227584 7326592 7783552 7865312 7973056 8356894 8470336 8471372 8586368 8999732 9094267 9123016 9550736 9681568 9793826 10285408 10393448 10426304 11192944 11892503 12648272 12791936 12821536 13591432 13764296 13952848 14455168 14824901 15730624 15946112 16713788 16940672 16942744 17999464 18188534 18246032 19101472 19363136 19587652 20570816 20786896 20852608 22086077 22385888 23785006 25296544 25643072 27182864 27528592 27905696 29249129 29649802 31461248 33427576 33885488 35998928 36377068 36492064 38202944 38726272 39175304 41141632 41573792 44172154 44771776 47570012 50593088 51286144 54365728 55057184 55811392 58498258 59299604 63659869 66855152 67770976 71997856 72754136 72984128 76405888 78350608 83147584 83247521 88344308 89543552 95140024 101186176 108731456 110114368 111622784 116996516 118599208 127319738 133710304 135541952 143995712 145508272 145968256 154602539 156701216 166295168 166495042 176688616 190280048 217462912 220228736 233993032 237198416 254639476 267420608 271083904 287991424 291016544 309205078 313402432 332990084 353377232 380560096 467986064 474396832 509278952 534841216 582033088 618410156 626804864 665980168 706754464 761120192 935972128 948793664 1018557904 1082217773 1164066176 1236820312 1331960336 1413508928 1522240384 1871944256 1897587328 2037115808 2164435546 2473640624 2663920672 2827017856 3743888512 4074231616 4328871092 4947281248 5327841344 8148463232 8657742184 9894562496 10655682688 17315484368 19789124992 34630968736 69261937472 138523874944
• Sum of all divisors σ(n): 381365492760
• Sum of proper divisors (its aliquot sum) s(n): 242841617816
• 138523874944 is an abundant number, because the sum of its proper divisors (242841617816) is greater than itself. Its abundance is 104317742872

Bases of 138523874944

• Binary: 10000001000000101010101001011010000000₂
• Hexadecimal: 0x2040AA9680
• Base-36: 1RMXJDZ4

Squares and roots of 138523874944

• 138523874944 squared (138523874944²) is 19188863929500951003136
• 138523874944 cubed (138523874944³) is 2658115787287622169087482615824384
• The square root of 138523874944 is 372187.9564736075
• The cube root of 138523874944 is 5174.1801303351

Scales and comparisons

• 138,523,874,944 seconds is equal to 4,404 years, 32 weeks, 5 days, 14 hours, 9 minutes, 4 seconds.
• To count from 1 to 138,523,874,944 would take you about eight thousand, eight hundred 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 138523874944 cubic inches would be around 431.2 feet tall.

Recreational maths with 138523874944

• 138523874944 backwards is 449478325831
• The number of decimal digits it has is: 12
• The sum of 138523874944's digits is 58
• More coming soon!