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14253026040 = 233251137891093
BaseRepresentation
bin11010100011000101…
…11110101011111000
31100210022120202001100
431101202332223320
5213142233313130
610314151451400
71013126502531
oct152142765370
940708522040
1014253026040
116054509470
122919386b60
131461b70a26
14992d3d688
15586463c60
hex3518beaf8

14253026040 has 384 divisors, whose sum is σ = 52530379200. Its totient is φ = 3321077760.

The previous prime is 14253026033. The next prime is 14253026059. The reversal of 14253026040 is 4062035241.

14253026040 is a `hidden beast` number, since 1 + 4 + 2 + 53 + 0 + 2 + 604 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14253025995 and 14253026013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13039734 + ... + 13040826.

Almost surely, 214253026040 is an apocalyptic number.

14253026040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14253026040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26265189600).

14253026040 is an abundant number, since it is smaller than the sum of its proper divisors (38277353160).

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

14253026040 is a wasteful number, since it uses less digits than its factorization.

14253026040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 14253026040 in words is "fourteen billion, two hundred fifty-three million, twenty-six thousand, forty".