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440440331993 is a prime number
BaseRepresentation
bin1100110100011000100…
…10100001111011011001
31120002212001012002102122
412122030102201323121
524204010211110433
6534200244511025
743551344023364
oct6321422417331
91502761162378
10440440331993
1115a8760a3382
127143a6ab475
13326c19b3b7c
14174630330db
15b6cbdae198
hex668c4a1ed9

440440331993 has 2 divisors, whose sum is σ = 440440331994. Its totient is φ = 440440331992.

The previous prime is 440440331953. The next prime is 440440332001. The reversal of 440440331993 is 399133044044.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 411742955584 + 28697376409 = 641672^2 + 169403^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-440440331993 is a prime.

It is a super-2 number, since 2×4404403319932 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (440440331953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 220220165996 + 220220165997.

It is an arithmetic number, because the mean of its divisors is an integer number (220220165997).

Almost surely, 2440440331993 is an apocalyptic number.

It is an amenable number.

440440331993 is a deficient number, since it is larger than the sum of its proper divisors (1).

440440331993 is an equidigital number, since it uses as much as digits as its factorization.

440440331993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 559872, while the sum is 44.

The spelling of 440440331993 in words is "four hundred forty billion, four hundred forty million, three hundred thirty-one thousand, nine hundred ninety-three".