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14005012320 = 2533513249377
BaseRepresentation
bin11010000101100001…
…11000011101100000
31100011000220100012000
431002300320131200
5212140240343240
610233412004000
71004025432465
oct150260703540
940130810160
1014005012320
115a37512052
12286a300600
131422675450
1496c01d66c
1556e7c3430
hex342c38760

14005012320 has 192 divisors, whose sum is σ = 52788335040. Its totient is φ = 3447373824.

The previous prime is 14005012319. The next prime is 14005012327. The reversal of 14005012320 is 2321050041.

14005012320 is a `hidden beast` number, since 140 + 0 + 501 + 2 + 3 + 20 = 666.

It is a super-2 number, since 2×140050123202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14005012293 and 14005012302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14005012327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68529 + ... + 180848.

It is an arithmetic number, because the mean of its divisors is an integer number (274939245).

Almost surely, 214005012320 is an apocalyptic number.

14005012320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14005012320 is an abundant number, since it is smaller than the sum of its proper divisors (38783322720).

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

14005012320 is a wasteful number, since it uses less digits than its factorization.

14005012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249414 (or 249400 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 14005012320 its reverse (2321050041), we get a palindrome (16326062361).

The spelling of 14005012320 in words is "fourteen billion, five million, twelve thousand, three hundred twenty".