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443442424244344 = 23723936293677147
BaseRepresentation
bin110010011010011101111110…
…0001011001110100001111000
32011011002200101222201200110021
41210310323330023032201320
5431110330041101304334
64211042345401500224
7162255441442205650
oct14464737413164170
92134080358650407
10443442424244344
1111932696aa694a8
124189a1427a1674
131605859735cbb5
147b70a2931b360
15363ee4d6d43b4
hex1934efc2ce878

443442424244344 has 64 divisors (see below), whose sum is σ = 991559137651200. Its totient is φ = 181781859963264.

The previous prime is 443442424244299. The next prime is 443442424244363.

It is a happy number.

443442424244344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 443442424244291 and 443442424244300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118755579 + ... + 122432725.

It is an arithmetic number, because the mean of its divisors is an integer number (15493111525800).

Almost surely, 2443442424244344 is an apocalyptic number.

It is an amenable number.

443442424244344 is an abundant number, since it is smaller than the sum of its proper divisors (548116713406856).

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

443442424244344 is a wasteful number, since it uses less digits than its factorization.

443442424244344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3770812 (or 3770808 counting only the distinct ones).

The product of its digits is 75497472, while the sum is 52.

The spelling of 443442424244344 in words is "four hundred forty-three trillion, four hundred forty-two billion, four hundred twenty-four million, two hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 1288 93629 187258 374516 655403 749032 1310806 2153467 2621612 3677147 4306934 5243224 7354294 8613868 14708588 15074269 17227736 25740029 29417176 30148538 51480058 60297076 84574381 102960116 120594152 169148762 205920232 338297524 592020667 676595048 1184041334 2368082668 4736165336 344287596463 688575192926 1377150385852 2410013175241 2754300771704 4820026350482 7918614718649 9640052700964 15837229437298 19280105401928 31674458874596 55430303030543 63348917749192 110860606061086 221721212122172 443442424244344