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442516624337 is a prime number
BaseRepresentation
bin1100111000010000000…
…10111101001111010001
31120022012202002200002002
412130020002331033101
524222233223434322
6535142255003345
743653655150004
oct6341002751721
91508182080062
10442516624337
11160741109567
1271919b09555
1332962bc0b18
14175bcaab53b
15b79e2e1c92
hex67080bd3d1

442516624337 has 2 divisors, whose sum is σ = 442516624338. Its totient is φ = 442516624336.

The previous prime is 442516624307. The next prime is 442516624393. The reversal of 442516624337 is 733426615244.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 245088364096 + 197428260241 = 495064^2 + 444329^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-442516624337 is a prime.

It is a super-2 number, since 2×4425166243372 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442516624291 and 442516624300.

It is not a weakly prime, because it can be changed into another prime (442516624307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221258312168 + 221258312169.

It is an arithmetic number, because the mean of its divisors is an integer number (221258312169).

Almost surely, 2442516624337 is an apocalyptic number.

It is an amenable number.

442516624337 is a deficient number, since it is larger than the sum of its proper divisors (1).

442516624337 is an equidigital number, since it uses as much as digits as its factorization.

442516624337 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2903040, while the sum is 47.

The spelling of 442516624337 in words is "four hundred forty-two billion, five hundred sixteen million, six hundred twenty-four thousand, three hundred thirty-seven".