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137744711140 = 2256887235557
BaseRepresentation
bin1000000001001000111…
…0010111110111100100
3111011112122222100001011
42000102032113313210
54224100121224030
6143140135112004
712644304504061
oct2002216276744
9434478870034
10137744711140
1153465331253
1222842512604
13ccb2572b4a
146949cbbc68
1538b2c32b2a
hex2012397de4

137744711140 has 12 divisors (see below), whose sum is σ = 289263893436. Its totient is φ = 55097884448.

The previous prime is 137744711107. The next prime is 137744711171. The reversal of 137744711140 is 41117447731.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 81454301604 + 56290409536 = 285402^2 + 237256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 137744711093 and 137744711102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3443617759 + ... + 3443617798.

It is an arithmetic number, because the mean of its divisors is an integer number (24105324453).

Almost surely, 2137744711140 is an apocalyptic number.

137744711140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137744711140 is an abundant number, since it is smaller than the sum of its proper divisors (151519182296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137744711140 is a wasteful number, since it uses less digits than its factorization.

137744711140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6887235566 (or 6887235564 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 40.

The spelling of 137744711140 in words is "one hundred thirty-seven billion, seven hundred forty-four million, seven hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 6887235557 13774471114 27548942228 34436177785 68872355570 137744711140