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442434401133 = 37321127893433
BaseRepresentation
bin1100111000000110010…
…01010011001101101101
31120022000000101022001020
412130003021103031231
524222101201314013
6535130200404353
743651636234134
oct6340311231555
91508000338036
10442434401133
111606a9759aaa
12718b64766b9
133294bb6283a
14175b1bc691b
15b796e9e623
hex670325336d

442434401133 has 32 divisors (see below), whose sum is σ = 601218126720. Its totient is φ = 289348899840.

The previous prime is 442434401131. The next prime is 442434401141. The reversal of 442434401133 is 331104434244.

It is not a de Polignac number, because 442434401133 - 21 = 442434401131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 442434401094 and 442434401103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442434401131) 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 31 ways as a sum of consecutive naturals, for example, 128875185 + ... + 128878617.

It is an arithmetic number, because the mean of its divisors is an integer number (18788066460).

Almost surely, 2442434401133 is an apocalyptic number.

It is an amenable number.

442434401133 is a deficient number, since it is larger than the sum of its proper divisors (158783725587).

442434401133 is a wasteful number, since it uses less digits than its factorization.

442434401133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6509.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 442434401133 its reverse (331104434244), we get a palindrome (773538835377).

The spelling of 442434401133 in words is "four hundred forty-two billion, four hundred thirty-four million, four hundred one thousand, one hundred thirty-three".

Divisors: 1 3 73 211 219 633 2789 3433 8367 10299 15403 46209 203597 250609 588479 610791 724363 751827 1765437 2173089 9574637 28723911 42958967 52878499 128876901 158635497 698948501 2020248407 2096845503 6060745221 147478133711 442434401133