137996978138296
137,996,978,138,296 is an even composite number composed of five prime numbers multiplied together.
137996978138296 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 137996978138296:
23 × 192 × 313 × 792 × 257
(2 × 2 × 2 × 19 × 19 × 31 × 31 × 31 × 79 × 79 × 257)See below for interesting mathematical facts about the number 137996978138296 from the Numbermatics database.
Names of 137996978138296
- Cardinal: 137996978138296 can be written as One hundred thirty-seven trillion, nine hundred ninety-six billion, nine hundred seventy-eight million, one hundred thirty-eight thousand, two hundred ninety-six.
Scientific notation
- Scientific notation: 1.37996978138296 × 1014
Factors of 137996978138296
Divisors of 137996978138296
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 4 8 19 31 38 62 76 79 124 152 158 248 257 316 361 514 589 632 722 961 1028 1178 1444 1501 1922 2056 2356 2449 2888 3002 3844 4712 4883 4898 6004 6241 7688 7967 9766 9796 11191 12008 12482 15934 18259 19532 19592 20303 22382 24964 28519 29791 31868 36518 39064 40606 44764 46531 49928 57038 59582 63736 73036 75919 81212 89528 92777 93062 114076 118579 119164 146072 151373 151838 162424 185554 186124 193471 228152 237158 238328 246977 302746 303676 346921 371108 372248 385757 386942 474316 493954 566029 605492 607352 629393 693842 742216 771514 773884 884089 948632 987908 1132058 1210984 1258786 1387684 1442461 1543028 1547768 1603937 1768178 1975816 2253001 2264116 2353489 2517572 2775368 2876087 2884922 3086056 3207874 3536356 3675949 4506002 4528232 4692563 4706978 5035144 5752174 5769844 5997601 6415748 7072712 7329383 7351898 7656287 9012004 9385126 9413956 10754551 11504348 11539688 11958467 11995202 12831496 14658766 14703796 15312574 18024008 18770252 18827912 19511183 21509102 23008696 23916934 23990404 27406759 29317532 29407592 30474803 30625148 37540504 39022366 43018204 44716291 47833868 47980808 49722047 54813518 58635064 60949606 61250296 69843031 78044732 86036408 89158697 89432582 95667736 99444094 109627036 113954419 121899212 139686062 145469453 156089464 178317394 178865164 185925631 198888188 219254072 227210873 227908838 243798424 279372124 290938906 356634788 357730328 370712477 371851262 397776376 454421746 455817676 558744248 579021257 581877812 604846673 713269576 741424954 743702524 849609529 908843492 911635352 944718893 1158042514 1163755624 1209693346 1482849908 1487405048 1541383457 1699219058 1817686984 1889437786 2165133961 2316085028 2419386692 2763919607 2965699816 3082766914 3398438116 3532586989 3778875572 4330267922 4632170056 4838773384 5527839214 6165533828 6796876232 7043537063 7065173978 7557751144 8660535844 11055678428 11492086787 12331067656 14087074126 14130347956 17321071688 17949658967 22111356856 22984173574 28174148252 28260695912 29286285683 35899317934 45968347148 47782887167 56348296504 58572571366 67119152791 71798635868 91936694296 95565774334 117145142732 134238305582 143597271736 191131548668 218349648953 234290285464 268476611164 382263097336 436699297906 536953222328 556439427977 873398595812 907874856173 1112878855954 1746797191624 1815749712346 2225757711908 3631499424692 4451515423816 7262998849384 17249622267287 34499244534574 68998489069148 137996978138296
- Sum of all divisors σ(n): 286910723998080
- Sum of proper divisors (its aliquot sum) s(n): 148913745859784
- 137996978138296 is an abundant number, because the sum of its proper divisors (148913745859784) is greater than itself. Its abundance is 10916767721488
Bases of 137996978138296
- Binary: 111110110000001111011001101110010101100101110002
- Hexadecimal: 0x7D81ECDCACB8
- Base-36: 1CWYXPT22G
Squares and roots of 137996978138296
- 137996978138296 squared (1379969781382962) is 19043165975301344158101783616
- 137996978138296 cubed (1379969781382963) is 2627899358777601814876275047106756714958336
-
The
square root of 137996978138296 is 11747211.5047910839 -
The
cube root of 137996978138296 is 51676.1153247145
Scales and comparisons
How big is 137996978138296?- 137,996,978,138,296 seconds is equal to 4,387,877 years, 2 weeks, 4 days, 23 hours, 18 minutes, 16 seconds.
-
To count from 1 to 137,996,978,138,296 would take you about ten million, nine hundred sixty-nine thousand, six hundred ninety-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 137996978138296 cubic inches would be around 4306.3 feet tall.
Recreational maths with 137996978138296
- 137996978138296 backwards is 692831879699731
- The number of decimal digits it has is: 15
- The sum of 137996978138296's digits is 88
- More coming soon!
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