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441478018408869 = 33131257772132219
BaseRepresentation
bin110010001100001011001110…
…0011101101010000110100101
32010220010212221011120201221000
41210120112130131222012211
5430331133440203040434
64202540111331143513
7161663506565130201
oct14430263435520645
92126125834521830
10441478018408869
1111873985a0a1312
1241621493144b99
1315c45277153c50
147b03915c41b01
153608cca500b99
hex191859c76a1a5

441478018408869 has 16 divisors (see below), whose sum is σ = 704352394043200. Its totient is φ = 271678780559088.

The previous prime is 441478018408831. The next prime is 441478018408873. The reversal of 441478018408869 is 968804810874144.

441478018408869 is a `hidden beast` number, since 4 + 4 + 1 + 478 + 0 + 18 + 4 + 0 + 88 + 69 = 666.

It is not a de Polignac number, because 441478018408869 - 217 = 441478018277797 is a prime.

It is a super-2 number, since 2×4414780184088692 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 441478018408797 and 441478018408806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441478018408829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 628886065759 + ... + 628886066460.

It is an arithmetic number, because the mean of its divisors is an integer number (44022024627700).

Almost surely, 2441478018408869 is an apocalyptic number.

It is an amenable number.

441478018408869 is a deficient number, since it is larger than the sum of its proper divisors (262874375634331).

441478018408869 is a wasteful number, since it uses less digits than its factorization.

441478018408869 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257772132241 (or 1257772132235 counting only the distinct ones).

The product of its (nonzero) digits is 396361728, while the sum is 72.

The spelling of 441478018408869 in words is "four hundred forty-one trillion, four hundred seventy-eight billion, eighteen million, four hundred eight thousand, eight hundred sixty-nine".

Divisors: 1 3 9 13 27 39 117 351 1257772132219 3773316396657 11319949189971 16351037718847 33959847569913 49053113156541 147159339469623 441478018408869