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442061884340 = 225101218842517
BaseRepresentation
bin1100110111011001111…
…00010000101110110100
31120021001001102111001222
412123230330100232310
524220320320244330
6535025212205512
743636464006266
oct6335474205664
91507031374058
10442061884340
1116052845568a
1271811769898
13328bc9247bb
1417578537b36
15b7744190e5
hex66ecf10bb4

442061884340 has 24 divisors (see below), whose sum is σ = 937521347112. Its totient is φ = 175074012800.

The previous prime is 442061884307. The next prime is 442061884343. The reversal of 442061884340 is 43488160244.

It can be written as a sum of positive squares in 4 ways, for example, as 63152695204 + 378909189136 = 251302^2 + 615556^2 .

It is a junction number, because it is equal to n+sod(n) for n = 442061884291 and 442061884300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442061884343) 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, 109419239 + ... + 109423278.

It is an arithmetic number, because the mean of its divisors is an integer number (39063389463).

Almost surely, 2442061884340 is an apocalyptic number.

It is an amenable number.

442061884340 is an abundant number, since it is smaller than the sum of its proper divisors (495459462772).

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

442061884340 is a wasteful number, since it uses less digits than its factorization.

442061884340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218842627 (or 218842625 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 44.

The spelling of 442061884340 in words is "four hundred forty-two billion, sixty-one million, eight hundred eighty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 218842517 437685034 875370068 1094212585 2188425170 4376850340 22103094217 44206188434 88412376868 110515471085 221030942170 442061884340