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422440044224 = 26111095505109
BaseRepresentation
bin1100010010110110110…
…00111000011011000000
31111101101120110201122212
412021123120320123000
523410124122403344
6522022152121252
742343313062322
oct6113330703300
91441346421585
10422440044224
111531794347a0
1269a56396228
1330ab36b2613
141663656d612
15aec699a79e
hex625b6386c0

422440044224 has 56 divisors (see below), whose sum is σ = 922876640400. Its totient is φ = 190256532480.

The previous prime is 422440044199. The next prime is 422440044227.

422440044224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (422440044227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2675819 + ... + 2829290.

Almost surely, 2422440044224 is an apocalyptic number.

422440044224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

422440044224 is an abundant number, since it is smaller than the sum of its proper divisors (500436596176).

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

422440044224 is a wasteful number, since it uses less digits than its factorization.

422440044224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505241 (or 5505231 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

It can be divided in two parts, 4224400 and 44224, that added together give a palindrome (4268624).

The spelling of 422440044224 in words is "four hundred twenty-two billion, four hundred forty million, forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 109 176 218 352 436 704 872 1199 1744 2398 3488 4796 6976 9592 19184 38368 76736 5505109 11010218 22020436 44040872 60556199 88081744 121112398 176163488 242224796 352326976 484449592 600056881 968899184 1200113762 1937798368 2400227524 3875596736 4800455048 6600625691 9600910096 13201251382 19201820192 26402502764 38403640384 52805005528 105610011056 211220022112 422440044224