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1406435258225 = 52292338325797
BaseRepresentation
bin10100011101110110000…
…100101110111101110001
311222110020220001210012002
4110131312010232331301
5141020334411230400
62554035112343345
7203416530305564
oct24356604567561
94873226053162
101406435258225
114a2514046018
121a86b03a4b55
13a281ac0a68a
144c10115a4db
15268b80c2ed5
hex1477612ef71

1406435258225 has 24 divisors (see below), whose sum is σ = 1811860160760. Its totient is φ = 1081687416320.

The previous prime is 1406435258201. The next prime is 1406435258231. The reversal of 1406435258225 is 5228525346041.

It can be written as a sum of positive squares in 12 ways, for example, as 386704884736 + 1019730373489 = 621856^2 + 1009817^2 .

It is not a de Polignac number, because 1406435258225 - 218 = 1406434996081 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1406435258225.

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 23 ways as a sum of consecutive naturals, for example, 3993974 + ... + 4331823.

It is an arithmetic number, because the mean of its divisors is an integer number (75494173365).

Almost surely, 21406435258225 is an apocalyptic number.

It is an amenable number.

1406435258225 is a deficient number, since it is larger than the sum of its proper divisors (405424902535).

1406435258225 is a wasteful number, since it uses less digits than its factorization.

1406435258225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8326069 (or 8326064 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 47.

The spelling of 1406435258225 in words is "one trillion, four hundred six billion, four hundred thirty-five million, two hundred fifty-eight thousand, two hundred twenty-five".

Divisors: 1 5 25 29 145 233 725 1165 5825 6757 33785 168925 8325797 41628985 208144925 241448113 1207240565 1939910701 6036202825 9699553505 48497767525 56257410329 281287051645 1406435258225