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137342074311 = 331313121512
BaseRepresentation
bin111111111101000111…
…0011011110111000111
3111010111121100021011000
41333322032123313013
54222234032334221
6143032153144343
712631315240551
oct1777216336707
9433447307130
10137342074311
1153279025242
122274b6bb0b3
13cc4a01a2c0
14690c62c4d1
15388c6ece26
hex1ffa39bdc7

137342074311 has 72 divisors (see below), whose sum is σ = 222278688240. Its totient is φ = 83317572000.

The previous prime is 137342074297. The next prime is 137342074327. The reversal of 137342074311 is 113470243731.

137342074311 is a `hidden beast` number, since 13 + 7 + 3 + 4 + 207 + 431 + 1 = 666.

It is not a de Polignac number, because 137342074311 - 25 = 137342074279 is a prime.

It is a super-2 number, since 2×1373420743112 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137342074361) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 909550086 + ... + 909550236.

Almost surely, 2137342074311 is an apocalyptic number.

137342074311 is a deficient number, since it is larger than the sum of its proper divisors (84936613929).

137342074311 is an equidigital number, since it uses as much as digits as its factorization.

137342074311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 137342074311 in words is "one hundred thirty-seven billion, three hundred forty-two million, seventy-four thousand, three hundred eleven".

Divisors: 1 3 9 13 27 39 117 131 151 351 393 453 1179 1359 1703 1963 3537 4077 5109 5889 15327 17161 17667 19781 22801 45981 51483 53001 59343 68403 154449 178029 205209 223093 257153 296413 463347 534087 615627 669279 771459 889239 2007837 2314377 2591311 2667717 2986931 6023511 6943131 7773933 8003151 8960793 23321799 26882379 33687043 38830103 69965397 80647137 101061129 116490309 303183387 349470927 391287961 909550161 1048412781 1173863883 3521591649 5086743493 10564774947 15260230479 45780691437 137342074311