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14461142667 = 31759281457
BaseRepresentation
bin11010111011111001…
…11000011010001011
31101022211012011101120
431131330320122023
5214104023031132
610350544250323
71021234453536
oct153574703213
941284164346
1014461142667
116150a35584
1229770109a3
13149600a56a
149b2835a1d
1559987302c
hex35df3868b

14461142667 has 24 divisors (see below), whose sum is σ = 20767880016. Its totient is φ = 8919757824.

The previous prime is 14461142651. The next prime is 14461142669. The reversal of 14461142667 is 76624116441.

It is not a de Polignac number, because 14461142667 - 24 = 14461142651 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14461142669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136803 + ... + 218259.

It is an arithmetic number, because the mean of its divisors is an integer number (865328334).

Almost surely, 214461142667 is an apocalyptic number.

14461142667 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

14461142667 is a deficient number, since it is larger than the sum of its proper divisors (6306737349).

14461142667 is an equidigital number, since it uses as much as digits as its factorization.

14461142667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81595 (or 81536 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The spelling of 14461142667 in words is "fourteen billion, four hundred sixty-one million, one hundred forty-two thousand, six hundred sixty-seven".

Divisors: 1 3 17 51 59 177 1003 3009 3481 10443 59177 81457 177531 244371 1384769 4154307 4805963 14417889 81701371 245104113 283551817 850655451 4820380889 14461142667