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1426431314889 = 3272568732
BaseRepresentation
bin10100110000011101111…
…011101000101111001001
312001100212110011201012100
4110300131323220233021
5141332312404034024
63011143221304013
7205025204060100
oct24603573505711
95040773151170
101426431314889
114aaa45321389
121b0550b65009
13a4686834479
144d07aad7037
15271888107c9
hex14c1dee8bc9

1426431314889 has 27 divisors (see below), whose sum is σ = 2396834897223. Its totient is φ = 815089276512.

The previous prime is 1426431314887. The next prime is 1426431314939. The reversal of 1426431314889 is 9884131346241.

The square root of 1426431314889 is 1194333.

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

1426431314889 is a `hidden beast` number, since 1 + 4 + 26 + 4 + 3 + 131 + 488 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75276153225 + 1351155161664 = 274365^2 + 1162392^2 .

It is not a de Polignac number, because 1426431314889 - 21 = 1426431314887 is a prime.

It is a super-2 number, since 2×14264313148892 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1426431314887) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25052557 + ... + 25109429.

Almost surely, 21426431314889 is an apocalyptic number.

1426431314889 is the 1194333-rd square number.

1426431314889 is the 597167-th centered octagonal number.

It is an amenable number.

1426431314889 is a deficient number, since it is larger than the sum of its proper divisors (970403582334).

1426431314889 is an frugal number, since it uses more digits than its factorization.

1426431314889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113766 (or 56883 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 1426431314889 in words is "one trillion, four hundred twenty-six billion, four hundred thirty-one million, three hundred fourteen thousand, eight hundred eighty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 56873 170619 398111 511857 1194333 2786777 3582999 8360331 25080993 3234538129 9703614387 22641766903 29110843161 67925300709 158492368321 203775902127 475477104963 1426431314889