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442443146896 = 2417929292
BaseRepresentation
bin1100111000000111010…
…10101010011010010000
31120022000121211121222101
412130003222222122100
524222110421200041
6535131112050144
743652103461032
oct6340352523220
91508017747871
10442443146896
11160703692903
12718b9393954
133295090554a
14175b3021c52
15b797b2ab31
hex6703aaa690

442443146896 has 45 divisors (see below), whose sum is σ = 862978297321. Its totient is φ = 219748900352.

The previous prime is 442443146869. The next prime is 442443146897. The reversal of 442443146896 is 698641344244.

The square root of 442443146896 is 665164.

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., 8531108496 + 433912038400 = 92364^2 + 658720^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442443146897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 476256960 + ... + 476257888.

Almost surely, 2442443146896 is an apocalyptic number.

442443146896 is the 665164-th square number.

It is an amenable number.

442443146896 is a deficient number, since it is larger than the sum of its proper divisors (420535150425).

442443146896 is an frugal number, since it uses more digits than its factorization.

442443146896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 1110 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 55.

The spelling of 442443146896 in words is "four hundred forty-two billion, four hundred forty-three million, one hundred forty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 179 358 716 929 1432 1858 2864 3716 7432 14864 32041 64082 128164 166291 256328 332582 512656 665164 863041 1330328 1726082 2660656 3452164 6904328 13808656 29766089 59532178 119064356 154484339 238128712 308968678 476257424 617937356 1235874712 2471749424 27652696681 55305393362 110610786724 221221573448 442443146896