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144167404225 = 5213443592013
BaseRepresentation
bin1000011001000100001…
…1000000001011000001
3111210010021101221121211
42012101003000023001
54330223323413400
6150121331450121
713262413500565
oct2062103001301
9453107357554
10144167404225
1156160817669
1223b35456941
1310797097360
146d98cbb6a5
153b3ba12dba
hex21910c02c1

144167404225 has 12 divisors (see below), whose sum is σ = 192518934076. Its totient is φ = 106462082880.

The previous prime is 144167404201. The next prime is 144167404309. The reversal of 144167404225 is 522404761441.

It can be written as a sum of positive squares in 6 ways, for example, as 21496544689 + 122670859536 = 146617^2 + 350244^2 .

It is not a de Polignac number, because 144167404225 - 25 = 144167404193 is a prime.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221795682 + ... + 221796331.

Almost surely, 2144167404225 is an apocalyptic number.

It is an amenable number.

144167404225 is a deficient number, since it is larger than the sum of its proper divisors (48351529851).

144167404225 is a wasteful number, since it uses less digits than its factorization.

144167404225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443592036 (or 443592031 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 144167404225 in words is "one hundred forty-four billion, one hundred sixty-seven million, four hundred four thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 325 443592013 2217960065 5766696169 11089800325 28833480845 144167404225