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14199698304 = 2733113112049
BaseRepresentation
bin11010011100101111…
…00011001110000000
31100122121020102011000
431032113203032000
5213040110321204
610305004452000
71011611305221
oct151627431600
940577212130
1014199698304
1160273a5560
12290354a000
131453abba5c
14989c1b248
1558192d039
hex34e5e3380

14199698304 has 256 divisors, whose sum is σ = 47197440000. Its totient is φ = 4163788800.

The previous prime is 14199698269. The next prime is 14199698309. The reversal of 14199698304 is 40389699141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14199698309) 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, 1172472 + ... + 1184520.

It is an arithmetic number, because the mean of its divisors is an integer number (184365000).

Almost surely, 214199698304 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 14199698304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23598720000).

14199698304 is an abundant number, since it is smaller than the sum of its proper divisors (32997741696).

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

14199698304 is a wasteful number, since it uses less digits than its factorization.

14199698304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12114 (or 12096 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 14199698304 in words is "fourteen billion, one hundred ninety-nine million, six hundred ninety-eight thousand, three hundred four".