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441524343104 = 26131740130497
BaseRepresentation
bin1100110110011001110…
…01101101000101000000
31120012122120221120010022
412123030321231011000
524213220212434404
6534500010553012
743620245664545
oct6331471550500
91505576846108
10441524343104
11160281a87a29
12716a1738768
1332835457070
1417526dacbcc
15b7421378be
hex66cce6d140

441524343104 has 56 divisors (see below), whose sum is σ = 943631176488. Its totient is φ = 203762073600.

The previous prime is 441524343101. The next prime is 441524343193. The reversal of 441524343104 is 401343425144.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 60736616704 + 380787726400 = 246448^2 + 617080^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441524343101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14462384 + ... + 14492880.

It is an arithmetic number, because the mean of its divisors is an integer number (16850556723).

Almost surely, 2441524343104 is an apocalyptic number.

It is an amenable number.

441524343104 is an abundant number, since it is smaller than the sum of its proper divisors (502106833384).

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

441524343104 is a wasteful number, since it uses less digits than its factorization.

441524343104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47923 (or 47913 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 441524343104 its reverse (401343425144), we get a palindrome (842867768248).

The spelling of 441524343104 in words is "four hundred forty-one billion, five hundred twenty-four million, three hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 17401 30497 34802 60994 69604 121988 139208 226213 243976 278416 396461 452426 487952 556832 792922 904852 975904 1113664 1585844 1809704 1951808 3171688 3619408 6343376 7238816 12686752 14477632 25373504 530678297 1061356594 2122713188 4245426376 6898817861 8490852752 13797635722 16981705504 27595271444 33963411008 55190542888 110381085776 220762171552 441524343104