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3140114341131 = 33197383850419
BaseRepresentation
bin101101101100011101011…
…001100101110100001011
3102010012011222010021202000
4231230131121211310023
5402421423232404011
610402314300042043
7442602650335335
oct55543531456413
912105158107660
103140114341131
111000795757019
124286a9b33323
1319a15acb7171
14abda77aa455
1556a354ee356
hex2db1d665d0b

3140114341131 has 32 divisors (see below), whose sum is σ = 4963944864000. Its totient is φ = 1956062551104.

The previous prime is 3140114341127. The next prime is 3140114341139. The reversal of 3140114341131 is 1311434110413.

3140114341131 is a `hidden beast` number, since 3 + 1 + 401 + 143 + 4 + 113 + 1 = 666.

It is not a de Polignac number, because 3140114341131 - 22 = 3140114341127 is a prime.

It is a super-2 number, since 2×31401143411312 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3140114341095 and 3140114341104.

It is not an unprimeable number, because it can be changed into a prime (3140114341139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41887761 + ... + 41962658.

It is an arithmetic number, because the mean of its divisors is an integer number (155123277000).

Almost surely, 23140114341131 is an apocalyptic number.

3140114341131 is a deficient number, since it is larger than the sum of its proper divisors (1823830522869).

3140114341131 is a wasteful number, since it uses less digits than its factorization.

3140114341131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83850520 (or 83850514 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 3140114341131 its reverse (1311434110413), we get a palindrome (4451548451544).

The spelling of 3140114341131 in words is "three trillion, one hundred forty billion, one hundred fourteen million, three hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 19 27 57 73 171 219 513 657 1387 1971 4161 12483 37449 83850419 251551257 754653771 1593157961 2263961313 4779473883 6121080587 14338421649 18363241761 43015264947 55089725283 116300531153 165269175849 348901593459 1046704780377 3140114341131