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442250270361 = 3419238892
BaseRepresentation
bin1100110111110000010…
…10111001011010011001
31120021112011220111010000
412123320022321122121
524221212032122421
6535100022043213
743644242162544
oct6337012713231
91507464814100
10442250270361
11160614825909
1271864879509
133291c973713
141759557585b
15b785c2c226
hex66f82b9699

442250270361 has 45 divisors (see below), whose sum is σ = 697425655311. Its totient is φ = 279244138176.

The previous prime is 442250270359. The next prime is 442250270381. The reversal of 442250270361 is 163072052244.

The square root of 442250270361 is 665019.

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

442250270361 is a `hidden beast` number, since 4 + 4 + 2 + 25 + 0 + 270 + 361 = 666.

It can be written as a sum of positive squares in only one way, i.e., 320560924761 + 121689345600 = 566181^2 + 348840^2 .

It is not a de Polignac number, because 442250270361 - 21 = 442250270359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442250270381) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 113716305 + ... + 113720193.

Almost surely, 2442250270361 is an apocalyptic number.

442250270361 is the 665019-th square number.

442250270361 is the 332510-th centered octagonal number.

It is an amenable number.

442250270361 is a deficient number, since it is larger than the sum of its proper divisors (255175384950).

442250270361 is an frugal number, since it uses more digits than its factorization.

442250270361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7828 (or 3911 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Multiplying 442250270361 by its sum of digits (36), we get a square (15921009732996 = 39901142).

The spelling of 442250270361 in words is "four hundred forty-two billion, two hundred fifty million, two hundred seventy thousand, three hundred sixty-one".

Divisors: 1 3 9 19 27 57 81 171 361 513 1083 1539 3249 3889 9747 11667 29241 35001 73891 105003 221673 315009 665019 1403929 1995057 4211787 5985171 12635361 15124321 37906083 45372963 113718249 136118889 287362099 408356667 862086297 1225070001 2586258891 5459879881 7758776673 16379639643 23276330019 49138918929 147416756787 442250270361