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441222040222144 = 2631792815065079
BaseRepresentation
bin110010001010010100000001…
…0111110010111100111000000
32010212020102012121110112022121
41210110220002332113213000
5430312440214244102034
64202222335042214024
7161636145321342466
oct14424500276274700
92125212177415277
10441222040222144
11118650242085985
124159b954654314
1315c270a1695b7c
147ad539149c836
1536022e795c1b4
hex1914a02f979c0

441222040222144 has 56 divisors (see below), whose sum is σ = 915233958809600. Its totient is φ = 210792073040640.

The previous prime is 441222040222063. The next prime is 441222040222169.

441222040222144 is nontrivially palindromic in base 10.

It is a congruent number.

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, 1407375804 + ... + 1407689275.

Almost surely, 2441222040222144 is an apocalyptic number.

It is an amenable number.

441222040222144 is an abundant number, since it is smaller than the sum of its proper divisors (474011918587456).

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

441222040222144 is a wasteful number, since it uses less digits than its factorization.

441222040222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815065201 (or 2815065191 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 34.

The spelling of 441222040222144 in words is "four hundred forty-one trillion, two hundred twenty-two billion, forty million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 79 124 158 248 316 496 632 992 1264 1984 2449 2528 4898 5056 9796 19592 39184 78368 156736 2815065079 5630130158 11260260316 22520520632 45041041264 87267017449 90082082528 174534034898 180164165056 222390141241 349068069796 444780282482 698136139592 889560564964 1396272279184 1779121129928 2792544558368 3558242259856 5585089116736 6894094378471 7116484519712 13788188756942 14232969039424 27576377513884 55152755027768 110305510055536 220611020111072 441222040222144