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145900185223 = 13194114407049
BaseRepresentation
bin1000011111100001010…
…1000010011010000111
3111221121000221100021211
42013320111002122013
54342300421411343
6151005311152251
713353354053332
oct2077025023207
9457530840254
10145900185223
115696a93a681
1224339815687
13109b2080660
1470c1097619
153bddbde79d
hex21f8542687

145900185223 has 16 divisors (see below), whose sum is σ = 169426908000. Its totient is φ = 124476894720.

The previous prime is 145900185191. The next prime is 145900185239. The reversal of 145900185223 is 322581009541.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 145900185223 - 25 = 145900185191 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145900185253) 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, 7193398 + ... + 7213651.

It is an arithmetic number, because the mean of its divisors is an integer number (10589181750).

Almost surely, 2145900185223 is an apocalyptic number.

145900185223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

145900185223 is a deficient number, since it is larger than the sum of its proper divisors (23526722777).

145900185223 is a wasteful number, since it uses less digits than its factorization.

145900185223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14407122.

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 145900185223 in words is "one hundred forty-five billion, nine hundred million, one hundred eighty-five thousand, two hundred twenty-three".

Divisors: 1 13 19 41 247 533 779 10127 14407049 187291637 273733931 590689009 3558541103 7678957117 11223091171 145900185223