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441222222144 = 26311208912037
BaseRepresentation
bin1100110101110101110…
…01001101000101000000
31120011212112110020002010
412122322321031011000
524212110342102034
6534410015252520
743606620002454
oct6327271150500
91504775406063
10441222222144
11160137494a90
127161851a140
13327b7995a72
14174d8c06664
15b72585a3e9
hex66bae4d140

441222222144 has 56 divisors (see below), whose sum is σ = 1273527783648. Its totient is φ = 133703703040.

The previous prime is 441222222143. The next prime is 441222222193.

441222222144 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441222222143) 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, 104453907 + ... + 104458130.

Almost surely, 2441222222144 is an apocalyptic number.

441222222144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441222222144 is an abundant number, since it is smaller than the sum of its proper divisors (832305561504).

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

441222222144 is a wasteful number, since it uses less digits than its factorization.

441222222144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208912063 (or 208912053 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

It can be divided in two parts, 441222 and 222144, that added together give a palindrome (663366).

The spelling of 441222222144 in words is "four hundred forty-one billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 208912037 417824074 626736111 835648148 1253472222 1671296296 2298032407 2506944444 3342592592 4596064814 5013888888 6685185184 6894097221 9192129628 10027777776 13370370368 13788194442 18384259256 20055555552 27576388884 36768518512 40111111104 55152777768 73537037024 110305555536 147074074048 220611111072 441222222144