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442044243103144 = 231122319854664171
BaseRepresentation
bin110010010000010010111001…
…0000101011100110110101000
32010222011000110100020111012011
41210200211302011130312220
5430414423102213300034
64204052153303325304
7162052433266460143
oct14440456205346650
92128130410214164
10442044243103144
11118937a02186800
12416b3176750834
1315c86793519c46
147b230ac4d705a
1536188ba0a5864
hex192097215cda8

442044243103144 has 48 divisors (see below), whose sum is σ = 950641320555360. Its totient is φ = 192193149165600.

The previous prime is 442044243103129. The next prime is 442044243103171. The reversal of 442044243103144 is 441301342440244.

It is a super-2 number, since 2×4420442431031442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442044243103097 and 442044243103106.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9927309822 + ... + 9927354349.

It is an arithmetic number, because the mean of its divisors is an integer number (19805027511570).

Almost surely, 2442044243103144 is an apocalyptic number.

442044243103144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442044243103144 is an abundant number, since it is smaller than the sum of its proper divisors (508597077452216).

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

442044243103144 is a wasteful number, since it uses less digits than its factorization.

442044243103144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19854664222 (or 19854664207 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

Adding to 442044243103144 its reverse (441301342440244), we get a palindrome (883345585543388).

The spelling of 442044243103144 in words is "four hundred forty-two trillion, forty-four billion, two hundred forty-three million, one hundred three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 121 184 242 253 484 506 968 1012 2024 2783 5566 11132 22264 19854664171 39709328342 79418656684 158837313368 218401305881 436802611762 456657275933 873605223524 913314551866 1747210447048 1826629103732 2402414364691 3653258207464 4804828729382 5023230035263 9609657458764 10046460070526 19219314917528 20092920141052 40185840282104 55255530387893 110511060775786 221022121551572 442044243103144