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16143494400 = 2834521119149
BaseRepresentation
bin11110000100011101…
…00010110100000000
31112200001211111010000
433002032202310000
5231030213310100
611225523040000
71111023303225
oct170216426400
945601744100
1016143494400
116934644310
123166510000
1316a3717c67
14ad204594c
156473dc900
hex3c23a2d00

16143494400 has 1080 divisors, whose sum is σ = 69003396000. Its totient is φ = 3682713600.

The previous prime is 16143494399. The next prime is 16143494417. The reversal of 16143494400 is 449434161.

It is a happy number.

16143494400 is a `hidden beast` number, since 1 + 614 + 34 + 9 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×161434944002 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 108345526 + ... + 108345674.

Almost surely, 216143494400 is an apocalyptic number.

16143494400 is a gapful number since it is divisible by the number (10) 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 16143494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34501698000).

16143494400 is an abundant number, since it is smaller than the sum of its proper divisors (52859901600).

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

16143494400 is a wasteful number, since it uses less digits than its factorization.

16143494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 16143494400 in words is "sixteen billion, one hundred forty-three million, four hundred ninety-four thousand, four hundred".