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14002018992 = 24341317193183
BaseRepresentation
bin11010000101001010…
…11101101010110000
31100010211021021010000
431002211131222300
5212134004101432
610233223510000
71003661124543
oct150245355260
940124237100
1014002018992
115a35858125
1228692b8300
131421b67b50
1496b88085a
1556e3d157c
hex34295dab0

14002018992 has 800 divisors, whose sum is σ = 50816747520. Its totient is φ = 3672760320.

The previous prime is 14002018963. The next prime is 14002018993. The reversal of 14002018992 is 29981020041.

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

It is not an unprimeable number, because it can be changed into a prime (14002018993) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 168698983 + ... + 168699065.

Almost surely, 214002018992 is an apocalyptic number.

14002018992 is a gapful number since it is divisible by the number (12) 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 14002018992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25408373760).

14002018992 is an abundant number, since it is smaller than the sum of its proper divisors (36814728528).

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

14002018992 is a wasteful number, since it uses less digits than its factorization.

14002018992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 14002018992 in words is "fourteen billion, two million, eighteen thousand, nine hundred ninety-two".