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14001746688 = 283231434797
BaseRepresentation
bin11010000101001000…
…11011001100000000
31100010210202102120200
431002210123030000
5212133421343223
610233214005200
71003655611626
oct150244331400
940123672520
1014001746688
115a35691586
1228691a6800
131421aa0c17
1496b80d516
1556e37aa43
hex34291b300

14001746688 has 432 divisors, whose sum is σ = 43998130176. Its totient is φ = 4273274880.

The previous prime is 14001746683. The next prime is 14001746699. The reversal of 14001746688 is 88664710041.

It is not an unprimeable number, because it can be changed into a prime (14001746683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144347856 + ... + 144347952.

Almost surely, 214001746688 is an apocalyptic number.

14001746688 is a gapful number since it is divisible by the number (18) 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 14001746688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21999065088).

14001746688 is an abundant number, since it is smaller than the sum of its proper divisors (29996383488).

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

14001746688 is a wasteful number, since it uses less digits than its factorization.

14001746688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 14001746688 in words is "fourteen billion, one million, seven hundred forty-six thousand, six hundred eighty-eight".