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133444444444331 = 6531759116177353
BaseRepresentation
bin11110010101110111110100…
…101101010101011010101011
3122111111011102202220122011112
4132111313310231111122223
5114442323210234204311
61151451310444220535
740052020506334166
oct3625676455253253
9574434382818145
10133444444444331
113957951aaaa129
1212b7251653a74b
13595c9ac4ca397
1424d4a61bccadd
1510662e248528b
hex795df4b556ab

133444444444331 has 8 divisors (see below), whose sum is σ = 133724781548160. Its totient is φ = 133164339700032.

The previous prime is 133444444444313. The next prime is 133444444444351.

133444444444331 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133444444444331 is a prime.

It is a super-2 number, since 2×1334444444443312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133444444444331.

It is not an unprimeable number, because it can be changed into a prime (133444444444351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56940050 + ... + 59237303.

It is an arithmetic number, because the mean of its divisors is an integer number (16715597693520).

Almost surely, 2133444444444331 is an apocalyptic number.

133444444444331 is a deficient number, since it is larger than the sum of its proper divisors (280337103829).

133444444444331 is a wasteful number, since it uses less digits than its factorization.

133444444444331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116179765.

The product of its digits is 21233664, while the sum is 50.

The spelling of 133444444444331 in words is "one hundred thirty-three trillion, four hundred forty-four billion, four hundred forty-four million, four hundred forty-four thousand, three hundred thirty-one".

Divisors: 1 653 1759 1148627 116177353 75863811509 204355963927 133444444444331