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144381000625 = 54151992
BaseRepresentation
bin1000011001110111000…
…1110011101110110001
3111210200011022202210121
42012131301303232301
54331143014010000
6150154441530241
713300616153611
oct2063561635661
9453604282717
10144381000625
1156260346814
1223b94aa3981
13107cc402164
146db93dca41
153b50655b1a
hex219dc73bb1

144381000625 has 15 divisors (see below), whose sum is σ = 180430369581. Its totient is φ = 115497201000.

The previous prime is 144381000611. The next prime is 144381000641. The reversal of 144381000625 is 526000183441.

The square root of 144381000625 is 379975.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 11319470449 + 133061530176 = 106393^2 + 364776^2 .

It is not a de Polignac number, because 144381000625 - 213 = 144380992433 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9491776 + ... + 9506974.

Almost surely, 2144381000625 is an apocalyptic number.

144381000625 is the 379975-th square number.

144381000625 is the 189988-th centered octagonal number.

It is an amenable number.

144381000625 is a deficient number, since it is larger than the sum of its proper divisors (36049368956).

144381000625 is an frugal number, since it uses more digits than its factorization.

144381000625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30418 (or 15204 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 144381000625 in words is "one hundred forty-four billion, three hundred eighty-one million, six hundred twenty-five", and thus it is an aban number.

Divisors: 1 5 25 125 625 15199 75995 379975 1899875 9499375 231009601 1155048005 5775240025 28876200125 144381000625