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73144137 = 3112201499
BaseRepresentation
bin1000101110000…
…01011101001001
312002122002220010
410113001131021
5122211103022
611131422133
71545500133
oct427013511
9162562803
1073144137
1138319300
12205b4949
13121cc971
149a00053
15664c50c
hex45c1749

73144137 has 12 divisors (see below), whose sum is σ = 107198000. Its totient is φ = 44329560.

The previous prime is 73144133. The next prime is 73144139.

73144137 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 73144137 - 22 = 73144133 is a prime.

It is a super-3 number, since 3×731441373 (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73144133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100387 + ... + 101112.

Almost surely, 273144137 is an apocalyptic number.

It is an amenable number.

73144137 is a deficient number, since it is larger than the sum of its proper divisors (34053863).

73144137 is a wasteful number, since it uses less digits than its factorization.

73144137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201524 (or 201513 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 73144137 is about 8552.4345656661. The cubic root of 73144137 is about 418.2088061104.

The spelling of 73144137 in words is "seventy-three million, one hundred forty-four thousand, one hundred thirty-seven".

Divisors: 1 3 11 33 121 363 201499 604497 2216489 6649467 24381379 73144137