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137314014 = 23294311831
BaseRepresentation
bin10000010111100…
…11111011011110
3100120101021102020
420023303323132
5240123022024
621343041010
73255102255
oct1013637336
9316337366
10137314014
1170568062
1239ba0166
13225a98c6
141434579c
15c0c5979
hex82f3ede

137314014 has 32 divisors (see below), whose sum is σ = 284912640. Its totient is φ = 44066400.

The previous prime is 137314003. The next prime is 137314019. The reversal of 137314014 is 410413731.

It is a super-3 number, since 3×1373140143 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137314019) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 74079 + ... + 75909.

It is an arithmetic number, because the mean of its divisors is an integer number (8903520).

Almost surely, 2137314014 is an apocalyptic number.

137314014 is an abundant number, since it is smaller than the sum of its proper divisors (147598626).

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

137314014 is a wasteful number, since it uses less digits than its factorization.

137314014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 137314014 is about 11718.1062463181. The cubic root of 137314014 is about 515.9072379972.

Adding to 137314014 its reverse (410413731), we get a palindrome (547727745).

The spelling of 137314014 in words is "one hundred thirty-seven million, three hundred fourteen thousand, fourteen".

Divisors: 1 2 3 6 29 58 87 174 431 862 1293 1831 2586 3662 5493 10986 12499 24998 37497 53099 74994 106198 159297 318594 789161 1578322 2367483 4734966 22885669 45771338 68657007 137314014