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145317627 = 32713177433
BaseRepresentation
bin10001010100101…
…01111011111011
3101010102220022100
420222111323323
5244200131002
622230354443
73413115360
oct1052257373
9333386270
10145317627
1175034314
12407bba23
132414c880
141542a467
15cb5711c
hex8a95efb

145317627 has 24 divisors (see below), whose sum is σ = 258343904. Its totient is φ = 76650624.

The previous prime is 145317607. The next prime is 145317631. The reversal of 145317627 is 726713541.

It is a happy number.

145317627 is a `hidden beast` number, since 14 + 5 + 3 + 17 + 627 = 666.

It is not a de Polignac number, because 145317627 - 28 = 145317371 is a prime.

It is a super-2 number, since 2×1453176272 = 42234425433822258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145317591 and 145317600.

It is not an unprimeable number, because it can be changed into a prime (145317607) 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 23 ways as a sum of consecutive naturals, for example, 87898 + ... + 89535.

Almost surely, 2145317627 is an apocalyptic number.

145317627 is a deficient number, since it is larger than the sum of its proper divisors (113026277).

145317627 is a wasteful number, since it uses less digits than its factorization.

145317627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177459 (or 177456 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 145317627 is about 12054.7761074190. The cubic root of 145317627 is about 525.7421123994.

The spelling of 145317627 in words is "one hundred forty-five million, three hundred seventeen thousand, six hundred twenty-seven".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 177433 532299 1242031 1596897 2306629 3726093 6919887 11178279 16146403 20759661 48439209 145317627