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4412322232144 = 241198123017289
BaseRepresentation
bin100000000110101001011…
…1001100011011101010000
3120121210222022201022200021
41000031102321203131100
51034242413442412034
613214554242233224
7633531313104151
oct100152271433520
916553868638607
104412322232144
1114512899643a2
125b3179955814
132601072817a8
141137b3c3d928
1579b945756b4
hex40352e63750

4412322232144 has 20 divisors (see below), whose sum is σ = 8549588232180. Its totient is φ = 2205976881920.

The previous prime is 4412322232141. The next prime is 4412322232169.

4412322232144 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 3576304596544 + 836017635600 = 1891112^2 + 914340^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4412322232141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11316949 + ... + 11700340.

It is an arithmetic number, because the mean of its divisors is an integer number (427479411609).

Almost surely, 24412322232144 is an apocalyptic number.

It is an amenable number.

4412322232144 is a deficient number, since it is larger than the sum of its proper divisors (4137266000036).

4412322232144 is a wasteful number, since it uses less digits than its factorization.

4412322232144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23029278 (or 23029272 counting only the distinct ones).

The product of its digits is 73728, while the sum is 34.

The spelling of 4412322232144 in words is "four trillion, four hundred twelve billion, three hundred twenty-two million, two hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 11981 23962 47924 95848 191696 23017289 46034578 92069156 184138312 368276624 275770139509 551540279018 1103080558036 2206161116072 4412322232144