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442224363422244 = 223132834771560399
BaseRepresentation
bin110010010001100110110001…
…0000101111100001000100100
32010222210020101020101202012210
41210203031202011330020210
5430430400444014002434
64204311022403043420
7162101440656100614
oct14443154205741044
92128706336352183
10442224363422244
111189a7332428457
1241722064670570
1315c9a76a06a710
147b2bab8292a44
15361d40d128ee9
hex192336217c224

442224363422244 has 24 divisors (see below), whose sum is σ = 1111230451676800. Its totient is φ = 136069034899104.

The previous prime is 442224363422207. The next prime is 442224363422297.

442224363422244 is nontrivially palindromic in base 10.

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 = 442224363422193 and 442224363422202.

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, 1417385780044 + ... + 1417385780355.

Almost surely, 2442224363422244 is an apocalyptic number.

It is an amenable number.

442224363422244 is an abundant number, since it is smaller than the sum of its proper divisors (669006088254556).

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

442224363422244 is a wasteful number, since it uses less digits than its factorization.

442224363422244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834771560419 (or 2834771560417 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 48.

The spelling of 442224363422244 in words is "four hundred forty-two trillion, two hundred twenty-four billion, three hundred sixty-three million, four hundred twenty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 2834771560399 5669543120798 8504314681197 11339086241596 17008629362394 34017258724788 36852030285187 73704060570374 110556090855561 147408121140748 221112181711122 442224363422244