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441345544328 = 231318612280337
BaseRepresentation
bin1100110110000100011…
…11101001000010001000
31120012012010111122022102
412123002033221002020
524212333424404303
6534430142412532
743612645141403
oct6330217510210
91505163448272
10441345544328
111601a0065847
1271651891148
13328073b3b80
141750b348d3a
15b7315ba288
hex66c23e9088

441345544328 has 32 divisors (see below), whose sum is σ = 891657764760. Its totient is φ = 203588398080.

The previous prime is 441345544327. The next prime is 441345544349. The reversal of 441345544328 is 823445543144.

It can be written as a sum of positive squares in 4 ways, for example, as 221086159204 + 220259385124 = 470198^2 + 469318^2 .

It is a super-2 number, since 2×4413455443282 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (441345544327) 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, 946625 + ... + 1333712.

Almost surely, 2441345544328 is an apocalyptic number.

It is an amenable number.

441345544328 is an abundant number, since it is smaller than the sum of its proper divisors (450312220432).

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

441345544328 is a wasteful number, since it uses less digits than its factorization.

441345544328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282217 (or 2282213 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 47.

The spelling of 441345544328 in words is "four hundred forty-one billion, three hundred forty-five million, five hundred forty-four thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 104 1861 3722 7444 14888 24193 48386 96772 193544 2280337 4560674 9121348 18242696 29644381 59288762 118577524 237155048 4243707157 8487414314 16974828628 33949657256 55168193041 110336386082 220672772164 441345544328