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442073392996 = 22192174972
BaseRepresentation
bin1100110111011011010…
…00001010011101100100
31120021001212002011222111
412123231220022131210
524220331242033441
6535030303010404
743636663561234
oct6335550123544
91507055064874
10442073392996
111605339a6274
1271815599a04
13328c2123c61
1417579c91cc4
15b77543e081
hex66eda0a764

442073392996 has 27 divisors (see below), whose sum is σ = 816535406169. Its totient is φ = 209391218208.

The previous prime is 442073392993. The next prime is 442073393009. The reversal of 442073392996 is 699293370244.

It is a happy number.

The square root of 442073392996 is 664886.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1262380900 + 440811012096 = 35530^2 + 663936^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 442073392996.

It is not an unprimeable number, because it can be changed into a prime (442073392993) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25256920 + ... + 25274416.

Almost surely, 2442073392996 is an apocalyptic number.

442073392996 is the 664886-th square number.

It is an amenable number.

442073392996 is a deficient number, since it is larger than the sum of its proper divisors (374462013173).

442073392996 is an frugal number, since it uses more digits than its factorization.

442073392996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35036 (or 17518 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 58.

The spelling of 442073392996 in words is "four hundred forty-two billion, seventy-three million, three hundred ninety-two thousand, nine hundred ninety-six".

Divisors: 1 2 4 19 38 76 361 722 1444 17497 34994 69988 332443 664886 1329772 6316417 12632834 25265668 306145009 612290018 1224580036 5816755171 11633510342 23267020684 110518348249 221036696498 442073392996