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14020231680 = 29345713743
BaseRepresentation
bin11010000111010101…
…11100001000000000
31100012002112120020000
431003222330020000
5212203134403210
610235114120000
71004302001010
oct150352741000
940162476200
1014020231680
115a45067634
122873420000
1314258738a0
14970061c40
15570cccac0
hex343abc200

14020231680 has 800 divisors, whose sum is σ = 61887538944. Its totient is φ = 2954133504.

The previous prime is 14020231679. The next prime is 14020231681. The reversal of 14020231680 is 8613202041.

14020231680 is a `hidden beast` number, since 140 + 202 + 316 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14020231679) and next prime (14020231681).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14020231681) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 18869389 + ... + 18870131.

Almost surely, 214020231680 is an apocalyptic number.

14020231680 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 14020231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30943769472).

14020231680 is an abundant number, since it is smaller than the sum of its proper divisors (47867307264).

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

14020231680 is an equidigital number, since it uses as much as digits as its factorization.

14020231680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 14020231680 in words is "fourteen billion, twenty million, two hundred thirty-one thousand, six hundred eighty".