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14990329224 = 2332131719179277
BaseRepresentation
bin11011111010111111…
…00100010110001000
31102200200221121212200
431331133210112020
5221200011013344
610515250440200
71040321460513
oct157537442610
942620847780
1014990329224
1163a2717242
122aa4293060
13154b8412c0
14a22c27d7a
155cb054069
hex37d7e4588

14990329224 has 384 divisors, whose sum is σ = 49179312000. Its totient is φ = 4074872832.

The previous prime is 14990329213. The next prime is 14990329229. The reversal of 14990329224 is 42292309941.

14990329224 is a `hidden beast` number, since 14 + 9 + 90 + 329 + 224 = 666.

It is a Cunningham number, because it is equal to 1224352-1.

It is a self number, because there is not a number n which added to its sum of digits gives 14990329224.

It is not an unprimeable number, because it can be changed into a prime (14990329229) by changing a digit.

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, 54116574 + ... + 54116850.

It is an arithmetic number, because the mean of its divisors is an integer number (128071125).

Almost surely, 214990329224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14990329224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24589656000).

14990329224 is an abundant number, since it is smaller than the sum of its proper divisors (34188982776).

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

14990329224 is a wasteful number, since it uses less digits than its factorization.

14990329224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 14990329224 in words is "fourteen billion, nine hundred ninety million, three hundred twenty-nine thousand, two hundred twenty-four".