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138742247831 = 11109115714969
BaseRepresentation
bin1000000100110110101…
…1101011000110010111
3111021010012000110010112
42001031223223012113
54233121003412311
6143423131513235
713011106435235
oct2011553530627
9437105013115
10138742247831
1153927422340
1222a805b881b
1310111129a45
146a02587955
1539205c928b
hex204daeb197

138742247831 has 8 divisors (see below), whose sum is σ = 152743760400. Its totient is φ = 124972165440.

The previous prime is 138742247827. The next prime is 138742247837.

138742247831 is nontrivially palindromic in base 10.

138742247831 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 138742247831 - 22 = 138742247827 is a prime.

It is a super-2 number, since 2×1387422478312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 138742247831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138742247837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57856286 + ... + 57858683.

It is an arithmetic number, because the mean of its divisors is an integer number (19092970050).

Almost surely, 2138742247831 is an apocalyptic number.

138742247831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

138742247831 is a deficient number, since it is larger than the sum of its proper divisors (14001512569).

138742247831 is a wasteful number, since it uses less digits than its factorization.

138742247831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115715089.

The product of its digits is 1806336, while the sum is 50.

The spelling of 138742247831 in words is "one hundred thirty-eight billion, seven hundred forty-two million, two hundred forty-seven thousand, eight hundred thirty-one".

Divisors: 1 11 109 1199 115714969 1272864659 12612931621 138742247831