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14294383488 = 2732721123021
BaseRepresentation
bin11010101000000001…
…01111101110000000
31100220012101220210200
431110000233232000
5213233330232423
610322230125200
71014141153300
oct152400575600
940805356720
1014294383488
116075896980
12292b1b0800
13146a5c13a8
14998627600
15589dd2d43
hex35402fb80

14294383488 has 288 divisors, whose sum is σ = 52201464120. Its totient is φ = 3712665600.

The previous prime is 14294383457. The next prime is 14294383507. The reversal of 14294383488 is 88438349241.

14294383488 is a `hidden beast` number, since 1 + 4 + 294 + 3 + 8 + 348 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×142943834882 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 609418 + ... + 632438.

Almost surely, 214294383488 is an apocalyptic number.

14294383488 is a gapful number since it is divisible by the number (18) 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 14294383488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26100732060).

14294383488 is an abundant number, since it is smaller than the sum of its proper divisors (37907080632).

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

14294383488 is a wasteful number, since it uses less digits than its factorization.

14294383488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23066 (or 23044 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 14294383488 in words is "fourteen billion, two hundred ninety-four million, three hundred eighty-three thousand, four hundred eighty-eight".