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14160803328 = 29327443991
BaseRepresentation
bin11010011000000110…
…01011011000000000
31100112220001100021100
431030003023120000
5213000131201303
610301055054400
71010626561620
oct151403133000
940486040240
1014160803328
11600744a151
1228b2511400
131448a21189
149849b4880
1557d2e88a3
hex34c0cb600

14160803328 has 240 divisors, whose sum is σ = 46860143616. Its totient is φ = 4032737280.

The previous prime is 14160803287. The next prime is 14160803333. The reversal of 14160803328 is 82330806141.

14160803328 is a `hidden beast` number, since 1 + 41 + 608 + 0 + 3 + 3 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14160803292 and 14160803301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14288913 + ... + 14289903.

Almost surely, 214160803328 is an apocalyptic number.

14160803328 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 14160803328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23430071808).

14160803328 is an abundant number, since it is smaller than the sum of its proper divisors (32699340288).

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

14160803328 is an equidigital number, since it uses as much as digits as its factorization.

14160803328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 14160803328 in words is "fourteen billion, one hundred sixty million, eight hundred three thousand, three hundred twenty-eight".