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440456141104601 is a prime number
BaseRepresentation
bin110010000100101111010111…
…1110101000110010111011001
32010202112012021210011002212112
41210021132233311012113121
5430212413134110321401
64200434431410122105
7161526622531302026
oct14411365765062731
92122465253132775
10440456141104601
11118385444a92976
1241497426580335
1315b9cab359536b
147aaa29607654d
1535dc41d2e53bb
hex19097afd465d9

440456141104601 has 2 divisors, whose sum is σ = 440456141104602. Its totient is φ = 440456141104600.

The previous prime is 440456141104597. The next prime is 440456141104667. The reversal of 440456141104601 is 106401141654044.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 427624349646400 + 12831791458201 = 20679080^2 + 3582149^2 .

It is a cyclic number.

It is not a de Polignac number, because 440456141104601 - 22 = 440456141104597 is a prime.

It is a super-2 number, since 2×4404561411046012 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (440456141104691) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 220228070552300 + 220228070552301.

It is an arithmetic number, because the mean of its divisors is an integer number (220228070552301).

Almost surely, 2440456141104601 is an apocalyptic number.

It is an amenable number.

440456141104601 is a deficient number, since it is larger than the sum of its proper divisors (1).

440456141104601 is an equidigital number, since it uses as much as digits as its factorization.

440456141104601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 184320, while the sum is 41.

Adding to 440456141104601 its reverse (106401141654044), we get a palindrome (546857282758645).

The spelling of 440456141104601 in words is "four hundred forty trillion, four hundred fifty-six billion, one hundred forty-one million, one hundred four thousand, six hundred one".