138384360576
138,384,360,576 is an even composite number composed of five prime numbers multiplied together.
138384360576 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138384360576:
27 × 34 × 72 × 11 × 24763
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 11 × 24763)See below for interesting mathematical facts about the number 138384360576 from the Numbermatics database.
Names of 138384360576
- Cardinal: 138384360576 can be written as One hundred thirty-eight billion, three hundred eighty-four million, three hundred sixty thousand, five hundred seventy-six.
Scientific notation
- Scientific notation: 1.38384360576 × 1011
Factors of 138384360576
Divisors of 138384360576
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 49 54 56 63 64 66 72 77 81 84 88 96 98 99 108 112 126 128 132 144 147 154 162 168 176 189 192 196 198 216 224 231 252 264 288 294 297 308 324 336 352 378 384 392 396 432 441 448 462 504 528 539 567 576 588 594 616 648 672 693 704 756 784 792 864 882 891 896 924 1008 1056 1078 1134 1152 1176 1188 1232 1296 1323 1344 1386 1408 1512 1568 1584 1617 1728 1764 1782 1848 2016 2079 2112 2156 2268 2352 2376 2464 2592 2646 2688 2772 3024 3136 3168 3234 3456 3528 3564 3696 3969 4032 4158 4224 4312 4536 4704 4752 4851 4928 5184 5292 5544 6048 6237 6272 6336 6468 7056 7128 7392 7938 8064 8316 8624 9072 9408 9504 9702 9856 10368 10584 11088 12096 12474 12672 12936 14112 14256 14553 14784 15876 16632 17248 18144 18816 19008 19404 21168 22176 24192 24763 24948 25872 28224 28512 29106 29568 31752 33264 34496 36288 38016 38808 42336 43659 44352 49526 49896 51744 56448 57024 58212 63504 66528 68992 72576 74289 77616 84672 87318 88704 99052 99792 103488 114048 116424 127008 133056 148578 155232 169344 173341 174636 198104 199584 206976 222867 232848 254016 266112 272393 297156 310464 346682 349272 396208 399168 445734 465696 508032 520023 544786 594312 620928 668601 693364 698544 792416 798336 817179 891468 931392 1040046 1089572 1188624 1213387 1337202 1386728 1397088 1560069 1584832 1634358 1782936 1862784 1906751 2005803 2080092 2179144 2377248 2426774 2451537 2674404 2773456 2794176 3120138 3169664 3268716 3565872 3640161 3813502 4011606 4160184 4358288 4680207 4754496 4853548 4903074 5348808 5546912 5588352 5720253 6240276 6537432 7131744 7280322 7354611 7627004 8023212 8320368 8716576 9360414 9508992 9707096 9806148 10697616 10920483 11093824 11440506 12480552 13074864 13347257 14040621 14263488 14560644 14709222 15254008 16046424 16640736 17160759 17433152 18720828 19414192 19612296 21395232 21840966 22063833 22187648 22881012 24961104 26149728 26694514 28081242 28526976 29121288 29418444 30508016 32092848 32761449 33281472 34321518 34866304 37441656 38828384 39224592 40041771 42790464 43681932 44127666 45762024 49922208 51482277 52299456 53389028 56162484 58242576 58836888 61016032 64185696 65522898 66562944 68643036 74883312 77656768 78449184 80083542 85580928 87363864 88255332 91524048 98284347 99844416 102964554 104598912 106778056 112324968 116485152 117673776 120125313 122032064 128371392 131045796 137286072 149766624 154446831 155313536 156898368 160167084 174727728 176510664 183048096 196568694 199688832 205929108 213556112 224649936 232970304 235347552 240250626 244064128 256742784 262091592 274572144 299533248 308893662 313796736 320334168 349455456 353021328 360375939 366096192 393137388 411858216 427112224 449299872 465940608 470695104 480501252 524183184 549144288 599066496 617787324 640668336 698910912 706042656 720751878 732192384 786274776 823716432 854224448 898599744 941390208 961002504 1048366368 1081127817 1098288576 1235574648 1281336672 1397821824 1412085312 1441503756 1572549552 1647432864 1708448896 1797199488 1922005008 2096732736 2162255634 2196577152 2471149296 2562673344 2824170624 2883007512 3145099104 3294865728 3844010016 4193465472 4324511268 4942298592 5125346688 5766015024 6290198208 6589731456 7688020032 8649022536 9884597184 11532030048 12580396416 15376040064 17298045072 19769194368 23064060096 34596090144 46128120192 69192180288 138384360576
- Sum of all divisors σ(n): 522639762480
- Sum of proper divisors (its aliquot sum) s(n): 384255401904
- 138384360576 is an abundant number, because the sum of its proper divisors (384255401904) is greater than itself. Its abundance is 245871041328
Bases of 138384360576
- Binary: 100000001110000101100111000100100000002
- Hexadecimal: 0x203859C480
- Base-36: 1RKMH400
Squares and roots of 138384360576
- 138384360576 squared (1383843605762) is 19150231252028383051776
- 138384360576 cubed (1383843605763) is 2650092506694479691623217261182976
-
The
square root of 138384360576 is 372000.4846448455 -
The
cube root of 138384360576 is 5172.4424877529
Scales and comparisons
How big is 138384360576?- 138,384,360,576 seconds is equal to 4,400 years, 10 weeks, 20 hours, 9 minutes, 36 seconds.
-
To count from 1 to 138,384,360,576 would take you about eight thousand, eight hundred 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 138384360576 cubic inches would be around 431 feet tall.
Recreational maths with 138384360576
- 138384360576 backwards is 675063483831
- 138384360576 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138384360576's digits is 54
- More coming soon!
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