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137414041 = 3137472549
BaseRepresentation
bin10000011000011…
…00010110011001
3100120120100121221
420030030112121
5240134222131
621345132041
73256000012
oct1014142631
9316510557
10137414041
1170626226
123a02a021
13226132ab
1414370009
15c0e5411
hex830c599

137414041 has 16 divisors (see below), whose sum is σ = 148838400. Its totient is φ = 126584640.

The previous prime is 137414003. The next prime is 137414047. The reversal of 137414041 is 140414731.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137414041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137413997 and 137414015.

It is not an unprimeable number, because it can be changed into a prime (137414047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52635 + ... + 55183.

It is an arithmetic number, because the mean of its divisors is an integer number (9302400).

Almost surely, 2137414041 is an apocalyptic number.

It is an amenable number.

137414041 is a deficient number, since it is larger than the sum of its proper divisors (11424359).

137414041 is a wasteful number, since it uses less digits than its factorization.

137414041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 137414041 is about 11722.3735224570. The cubic root of 137414041 is about 516.0324792267.

Adding to 137414041 its reverse (140414731), we get a palindrome (277828772).

The spelling of 137414041 in words is "one hundred thirty-seven million, four hundred fourteen thousand, forty-one".

Divisors: 1 31 37 47 1147 1457 1739 2549 53909 79019 94313 119803 2923703 3713893 4432711 137414041