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444322161223444 = 227101426773681499
BaseRepresentation
bin110010100000110111101000…
…0100101011110011100010100
32011021012210011101001122121001
41211001233100211132130110
5431214233241233122234
64212554441042233044
7162406134235146550
oct14501572045363424
92137183141048531
10444322161223444
11119635a74612829
1241a00740955784
13160c0527ac00ba
147ba1443512860
153657c8bd3cd14
hex1941bd095e714

444322161223444 has 48 divisors (see below), whose sum is σ = 897464053584000. Its totient is φ = 188533930377600.

The previous prime is 444322161223427. The next prime is 444322161223529.

444322161223444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4443221612234442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444322161223394 and 444322161223403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118849807 + ... + 122531305.

It is an arithmetic number, because the mean of its divisors is an integer number (18697167783000).

Almost surely, 2444322161223444 is an apocalyptic number.

It is an amenable number.

444322161223444 is an abundant number, since it is smaller than the sum of its proper divisors (453141892360556).

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

444322161223444 is a wasteful number, since it uses less digits than its factorization.

444322161223444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3724288 (or 3724286 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 46.

The spelling of 444322161223444 in words is "four hundred forty-four trillion, three hundred twenty-two billion, one hundred sixty-one million, two hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 101 202 404 707 1414 2828 42677 85354 170708 298739 597478 1194956 3681499 4310377 7362998 8620754 14725996 17241508 25770493 30172639 51540986 60345278 103081972 120690556 371831399 743662798 1487325596 2602819793 5205639586 10411279172 157115332823 314230665646 628461331292 1099807329761 2199614659522 4399229319044 15868648615123 31737297230246 63474594460492 111080540305861 222161080611722 444322161223444