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14289627402 = 2323797721961
BaseRepresentation
bin11010100111011101…
…00110100100001010
31100212212110021200100
431103232212210022
5213231121034102
610321540150230
71014052554201
oct152356464412
940785407610
1014289627402
116073138626
122929698376
13146961763b
14997b4a238
15589793a1c
hex353ba690a

14289627402 has 48 divisors (see below), whose sum is σ = 31831634952. Its totient is φ = 4629519360.

The previous prime is 14289627367. The next prime is 14289627403. The reversal of 14289627402 is 20472698241.

14289627402 is a `hidden beast` number, since 14 + 2 + 8 + 9 + 627 + 4 + 0 + 2 = 666.

14289627402 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13390886961 + 898740441 = 115719^2 + 29979^2 .

It is not an unprimeable number, because it can be changed into a prime (14289627403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 639702 + ... + 661662.

Almost surely, 214289627402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14289627402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15915817476).

14289627402 is an abundant number, since it is smaller than the sum of its proper divisors (17542007550).

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

14289627402 is a wasteful number, since it uses less digits than its factorization.

14289627402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22983 (or 22980 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 14289627402 in words is "fourteen billion, two hundred eighty-nine million, six hundred twenty-seven thousand, four hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 977 1954 2931 5862 8793 17586 21961 36149 43922 65883 72298 108447 131766 197649 216894 325341 395298 650682 812557 1625114 2437671 4875342 7313013 14626026 21455897 42911794 64367691 128735382 193103073 386206146 793868189 1587736378 2381604567 4763209134 7144813701 14289627402