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442330052524452 = 223212286945903457
BaseRepresentation
bin110010010010010111111110…
…1101001110111100110100100
32011000011100011220002102112200
41210210233331221313212210
5430434113421421240302
64204431342035214500
7162112202023456131
oct14444577551674644
92130140156072480
10442330052524452
11118a38138147214
124173a63b747430
1315ca7711400a11
147b32c62b13588
153621046a3881c
hex1924bfda779a4

442330052524452 has 18 divisors (see below), whose sum is σ = 1118112077214678. Its totient is φ = 147443350841472.

The previous prime is 442330052524447. The next prime is 442330052524463. The reversal of 442330052524452 is 254425250033244.

442330052524452 is a `hidden beast` number, since 4 + 4 + 2 + 3 + 30 + 0 + 52 + 524 + 45 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 267732518901156 + 174597533623296 = 16362534^2 + 13213536^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 442330052524398 and 442330052524407.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6143472951693 + ... + 6143472951764.

Almost surely, 2442330052524452 is an apocalyptic number.

It is an amenable number.

442330052524452 is an abundant number, since it is smaller than the sum of its proper divisors (675782024690226).

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

442330052524452 is a wasteful number, since it uses less digits than its factorization.

442330052524452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12286945903467 (or 12286945903462 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 45.

The spelling of 442330052524452 in words is "four hundred forty-two trillion, three hundred thirty billion, fifty-two million, five hundred twenty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 12286945903457 24573891806914 36860837710371 49147783613828 73721675420742 110582513131113 147443350841484 221165026262226 442330052524452