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442434400023 = 37111915300433
BaseRepresentation
bin1100111000000110010…
…01010010111100010111
31120022000000101020112010
412130003021102330113
524222101201300043
6535130200355303
743651636230660
oct6340311227427
91508000336463
10442434400023
111606a9759190
12718b6475b33
133294bb62195
14175b1bc6367
15b796e9e133
hex6703252f17

442434400023 has 16 divisors (see below), whose sum is σ = 735475366656. Its totient is φ = 229836051840.

The previous prime is 442434399959. The next prime is 442434400027. The reversal of 442434400023 is 320004434244.

It is not a de Polignac number, because 442434400023 - 26 = 442434399959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442434400027) 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 in 15 ways as a sum of consecutive naturals, for example, 957649986 + ... + 957650447.

It is an arithmetic number, because the mean of its divisors is an integer number (45967210416).

Almost surely, 2442434400023 is an apocalyptic number.

442434400023 is a deficient number, since it is larger than the sum of its proper divisors (293040966633).

442434400023 is a wasteful number, since it uses less digits than its factorization.

442434400023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915300454.

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 442434400023 its reverse (320004434244), we get a palindrome (762438834267).

The spelling of 442434400023 in words is "four hundred forty-two billion, four hundred thirty-four million, four hundred thousand, twenty-three".

Divisors: 1 3 7 11 21 33 77 231 1915300433 5745901299 13407103031 21068304763 40221309093 63204914289 147478133341 442434400023