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442433101334244 = 22337996470948951
BaseRepresentation
bin110010010011000111111101…
…1110101111000011011100100
32011000112012011112121100120120
41210212033323311320123210
5430442310442420143434
64204550543313001540
7162122510461056666
oct14446177365703344
92130465145540516
10442433101334244
11118a77908550229
12417565ba5532b0
1315cb4354754407
147b37c3aa44536
153623a78759349
hex19263fbd786e4

442433101334244 has 24 divisors (see below), whose sum is σ = 1060245089684928. Its totient is φ = 143491816648800.

The previous prime is 442433101334183. The next prime is 442433101334317.

442433101334244 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 442433101334196 and 442433101334205.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 498235474032 + ... + 498235474919.

It is an arithmetic number, because the mean of its divisors is an integer number (44176878736872).

Almost surely, 2442433101334244 is an apocalyptic number.

It is an amenable number.

442433101334244 is an abundant number, since it is smaller than the sum of its proper divisors (617811988350684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442433101334244 is a wasteful number, since it uses less digits than its factorization.

442433101334244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996470948995 (or 996470948993 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 42.

It can be divided in two parts, 44243310 and 1334244, that added together give a palindrome (45577554).

The spelling of 442433101334244 in words is "four hundred forty-two trillion, four hundred thirty-three billion, one hundred one million, three hundred thirty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 996470948951 1992941897902 2989412846853 3985883795804 5978825693706 11957651387412 36869425111187 73738850222374 110608275333561 147477700444748 221216550667122 442433101334244