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442402424204244 = 22375266695526241
BaseRepresentation
bin110010010010111001101011…
…1010101111010101111010100
32011000102020222121011200110120
41210211303113111322233110
5430441310131044013434
64204524511251351540
7162120343326551130
oct14445632725725724
92130366877150416
10442402424204244
11118a658a6068429
12417506788b25b0
1315cb14a5cc979a
147b3656a6d63c0
153622d80479349
hex1925cd757abd4

442402424204244 has 24 divisors (see below), whose sum is σ = 1179739797878208. Its totient is φ = 126400692629760.

The previous prime is 442402424204233. The next prime is 442402424204249.

442402424204244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4424024242042442 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 442402424204196 and 442402424204205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442402424204249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2633347763037 + ... + 2633347763204.

It is an arithmetic number, because the mean of its divisors is an integer number (49155824911592).

Almost surely, 2442402424204244 is an apocalyptic number.

It is an amenable number.

442402424204244 is an abundant number, since it is smaller than the sum of its proper divisors (737337373673964).

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

442402424204244 is a wasteful number, since it uses less digits than its factorization.

442402424204244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5266695526255 (or 5266695526253 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 42.

The spelling of 442402424204244 in words is "four hundred forty-two trillion, four hundred two billion, four hundred twenty-four million, two hundred four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 5266695526241 10533391052482 15800086578723 21066782104964 31600173157446 36866868683687 63200346314892 73733737367374 110600606051061 147467474734748 221201212102122 442402424204244