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442434400132 = 22727429735407
BaseRepresentation
bin1100111000000110010…
…01010010111110000100
31120022000000101020200011
412130003021102332010
524222101201301012
6535130200400004
743651636231204
oct6340311227604
91508000336604
10442434400132
111606a975927a
12718b6476004
133294bb6224a
14175b1bc6404
15b796e9e1a7
hex6703252f84

442434400132 has 24 divisors (see below), whose sum is σ = 775527544064. Its totient is φ = 220855263552.

The previous prime is 442434400129. The next prime is 442434400153. The reversal of 442434400132 is 231004434244.

It is a junction number, because it is equal to n+sod(n) for n = 442434400094 and 442434400103.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12477973 + ... + 12513379.

Almost surely, 2442434400132 is an apocalyptic number.

It is an amenable number.

442434400132 is a deficient number, since it is larger than the sum of its proper divisors (333093143932).

442434400132 is a wasteful number, since it uses less digits than its factorization.

442434400132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40435 (or 40433 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 442434400132 its reverse (231004434244), we get a palindrome (673438834376).

The spelling of 442434400132 in words is "four hundred forty-two billion, four hundred thirty-four million, four hundred thousand, one hundred thirty-two".

Divisors: 1 2 4 727 1454 2908 4297 8594 17188 35407 70814 141628 3123919 6247838 12495676 25740889 51481778 102963556 152143879 304287758 608575516 110608600033 221217200066 442434400132