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4010146426225 = 52157225512
BaseRepresentation
bin111010010110101111010…
…110100110110101110001
3112012100212222222120002001
4322112233112212311301
51011200234441114400
612310122535054001
7562503111131512
oct72265726466561
915170788876061
104010146426225
11130676a127895
12549239b11301
13231202c33234
14dc140adaa09
156e4a6b3da6a
hex3a5af5a6d71

4010146426225 has 27 divisors (see below), whose sum is σ = 5006418329601. Its totient is φ = 3186433692000.

The previous prime is 4010146426183. The next prime is 4010146426243. The reversal of 4010146426225 is 5226246410104.

The square root of 4010146426225 is 2002535.

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

It can be written as a sum of positive squares in 4 ways, for example, as 485004994929 + 3525141431296 = 696423^2 + 1877536^2 .

It is not a de Polignac number, because 4010146426225 - 211 = 4010146424177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1571988700 + ... + 1571991250.

Almost surely, 24010146426225 is an apocalyptic number.

4010146426225 is the 2002535-th square number.

4010146426225 is the 1001268-th centered octagonal number.

It is an amenable number.

4010146426225 is a deficient number, since it is larger than the sum of its proper divisors (996271903376).

4010146426225 is an frugal number, since it uses more digits than its factorization.

4010146426225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5426 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 4010146426225 in words is "four trillion, ten billion, one hundred forty-six million, four hundred twenty-six thousand, two hundred twenty-five".

Divisors: 1 5 25 157 785 2551 3925 12755 24649 63775 123245 400507 616225 2002535 6507601 10012675 32538005 62879599 162690025 314397995 1021693357 1571989975 5108466785 25542333925 160405857049 802029285245 4010146426225