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441107403444 = 223243284953103
BaseRepresentation
bin1100110101101000000…
…11001101001010110100
31120011120112101211102200
412122310003031022310
524211341443402234
6534350354304500
743604024031201
oct6326403151264
91504515354380
10441107403444
111600886a1aa4
12715a5b88130
1332799c642c6
14174c7878ca8
15b71a729d99
hex66b40cd2b4

441107403444 has 36 divisors (see below), whose sum is σ = 1140952228416. Its totient is φ = 143616363408.

The previous prime is 441107403409. The next prime is 441107403469. The reversal of 441107403444 is 444304701144.

441107403444 is a `hidden beast` number, since 441 + 107 + 40 + 34 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4411074034442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 441107403399 and 441107403408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142475004 + ... + 142478099.

It is an arithmetic number, because the mean of its divisors is an integer number (31693117456).

Almost surely, 2441107403444 is an apocalyptic number.

It is an amenable number.

441107403444 is an abundant number, since it is smaller than the sum of its proper divisors (699844824972).

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

441107403444 is a wasteful number, since it uses less digits than its factorization.

441107403444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284953156 (or 284953151 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 441107403444 in words is "four hundred forty-one billion, one hundred seven million, four hundred three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 284953103 569906206 854859309 1139812412 1709718618 2564577927 3419437236 5129155854 10258311708 12252983429 24505966858 36758950287 49011933716 73517900574 110276850861 147035801148 220553701722 441107403444