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442223242322244 = 223672625412095021
BaseRepresentation
bin110010010001100110001111…
…1010001010010000101000100
32010222210010111002211222010120
41210203030133101102011010
5430430341200013302434
64204310315234021540
7162101401123644525
oct14443143721220504
92128703432758116
10442223242322244
111189a6907611429
12417219b11178b0
1315c9a61ba0ca36
147b2ba0d42084c
15361d3949c6349
hex192331f452144

442223242322244 has 48 divisors (see below), whose sum is σ = 1047259530319296. Its totient is φ = 145207009411200.

The previous prime is 442223242322171. The next prime is 442223242322249.

It is a happy number.

442223242322244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4422232423222442 (a number of 30 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 442223242322196 and 442223242322205.

It is not an unprimeable number, because it can be changed into a prime (442223242322249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210035454 + ... + 212130474.

It is an arithmetic number, because the mean of its divisors is an integer number (21817906881652).

Almost surely, 2442223242322244 is an apocalyptic number.

It is an amenable number.

442223242322244 is an abundant number, since it is smaller than the sum of its proper divisors (605036287997052).

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

442223242322244 is a wasteful number, since it uses less digits than its factorization.

442223242322244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357636 (or 2357634 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 42.

The spelling of 442223242322244 in words is "four hundred forty-two trillion, two hundred twenty-three billion, two hundred forty-two million, three hundred twenty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 67 134 201 268 402 804 262541 525082 787623 1050164 1575246 2095021 3150492 4190042 6285063 8380084 12570126 17590247 25140252 35180494 52770741 70360988 105541482 140366407 211082964 280732814 421099221 561465628 842198442 1684396884 550028908361 1100057816722 1650086725083 2200115633444 3300173450166 6600346900332 36851936860187 73703873720374 110555810580561 147407747440748 221111621161122 442223242322244