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14031059328 = 2733112132989
BaseRepresentation
bin11010001000101000…
…01111100110000000
31100012211220122222000
431010110033212000
5212213422344303
610240142144000
71004463015336
oct150424174600
940184818860
1014031059328
115a50192600
122876b82000
131427b95090
1497167db56
15571c1ada3
hex34450f980

14031059328 has 768 divisors, whose sum is σ = 51279480000. Its totient is φ = 3746856960.

The previous prime is 14031059323. The next prime is 14031059359. The reversal of 14031059328 is 82395013041.

14031059328 is a `hidden beast` number, since 1 + 40 + 3 + 1 + 0 + 593 + 28 = 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 = 14031059292 and 14031059301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14031059323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 157652308 + ... + 157652396.

Almost surely, 214031059328 is an apocalyptic number.

14031059328 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 14031059328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25639740000).

14031059328 is an abundant number, since it is smaller than the sum of its proper divisors (37248420672).

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

14031059328 is a wasteful number, since it uses less digits than its factorization.

14031059328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 14031059328 in words is "fourteen billion, thirty-one million, fifty-nine thousand, three hundred twenty-eight".