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137034314104 = 23294175719031
BaseRepresentation
bin111111110011111100…
…0011011000101111000
3111002201011020102111211
41333213320123011320
54221121241022404
6142541440532504
712620560310512
oct1774770330570
9432634212454
10137034314104
1153130330466
1222684621134
13cbcb33327c
1468bd7d8bb2
1538706a9b04
hex1fe7e1b178

137034314104 has 64 divisors (see below), whose sum is σ = 272656238400. Its totient is φ = 64452326400.

The previous prime is 137034314101. The next prime is 137034314117. The reversal of 137034314104 is 401413430731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137034314101) 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 15 ways as a sum of consecutive naturals, for example, 7191069 + ... + 7210099.

It is an arithmetic number, because the mean of its divisors is an integer number (4260253725).

Almost surely, 2137034314104 is an apocalyptic number.

It is an amenable number.

137034314104 is a deficient number, since it is larger than the sum of its proper divisors (135621924296).

137034314104 is a wasteful number, since it uses less digits than its factorization.

137034314104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19864 (or 19860 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

Adding to 137034314104 its reverse (401413430731), we get a palindrome (538447744835).

The spelling of 137034314104 in words is "one hundred thirty-seven billion, thirty-four million, three hundred fourteen thousand, one hundred four".

Divisors: 1 2 4 8 29 41 58 82 116 164 232 328 757 1189 1514 2378 3028 4756 6056 9512 19031 21953 31037 38062 43906 62074 76124 87812 124148 152248 175624 248296 551899 780271 900073 1103798 1560542 1800146 2207596 3121084 3600292 4415192 6242168 7200584 14406467 22627859 28812934 45255718 57625868 90511436 115251736 181022872 417787543 590665147 835575086 1181330294 1671150172 2362660588 3342300344 4725321176 17129289263 34258578526 68517157052 137034314104