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442432504336 = 241662892
BaseRepresentation
bin1100111000000110000…
…10000100001000010000
31120021222212210221010111
412130003002010020100
524222100210114321
6535130052011104
743651614144124
oct6340302041020
91507885727114
10442432504336
111606a86839a9
12718b5900a94
133294b64a384
14175b1851584
15b796c275e1
hex6703084210

442432504336 has 15 divisors (see below), whose sum is σ = 857218132141. Its totient is φ = 221214921856.

The previous prime is 442432504307. The next prime is 442432504351. The reversal of 442432504336 is 633405234244.

The square root of 442432504336 is 665156.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 258425822736 + 184006681600 = 508356^2 + 428960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2577480 + ... + 2743768.

Almost surely, 2442432504336 is an apocalyptic number.

442432504336 is the 665156-th square number.

It is an amenable number.

442432504336 is a deficient number, since it is larger than the sum of its proper divisors (414785627805).

442432504336 is an frugal number, since it uses more digits than its factorization.

442432504336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332586 (or 166291 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 40.

The spelling of 442432504336 in words is "four hundred forty-two billion, four hundred thirty-two million, five hundred four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 166289 332578 665156 1330312 2660624 27652031521 55304063042 110608126084 221216252168 442432504336