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1439604027225 = 3452721322932
BaseRepresentation
bin10100111100101111000…
…101100010111101011001
312002121212110221211110000
4110330233011202331121
5142041302112332400
63021202302243213
7206002505221200
oct24745705427531
95077773854400
101439604027225
11505594a41101
121b3008586509
13a59a5927c00
144d96a380237
15276a9ecb600
hex14f2f162f59

1439604027225 has 405 divisors, whose sum is σ = 3370489681383. Its totient is φ = 605407944960.

The previous prime is 1439604027203. The next prime is 1439604027233. The reversal of 1439604027225 is 5227204069341.

The square root of 1439604027225 is 1199835.

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

1439604027225 is a `hidden beast` number, since 1 + 4 + 39 + 604 + 0 + 2 + 7 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 692921391561 + 746682635664 = 832419^2 + 864108^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 1439604027225 - 29 = 1439604026713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 4913324179 + ... + 4913324471.

Almost surely, 21439604027225 is an apocalyptic number.

1439604027225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1439604027225 is the 1199835-th square number.

1439604027225 is the 599918-th centered octagonal number.

It is an amenable number.

1439604027225 is an abundant number, since it is smaller than the sum of its proper divisors (1930885654158).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1439604027225 is an equidigital number, since it uses as much as digits as its factorization.

1439604027225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1439604027225 in words is "one trillion, four hundred thirty-nine billion, six hundred four million, twenty-seven thousand, two hundred twenty-five".