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4022324422443 = 35235313578979
BaseRepresentation
bin111010100010000101001…
…101111110011100101011
3112020112022201000212100000
4322202011031332130223
51011400210023004233
612315455203514043
7563413643316615
oct72420515763453
915215281025300
104022324422443
111310949302678
1254b678388923
132323c3c19862
14dc97820ddb5
156e96ad1dd13
hex3a88537e72b

4022324422443 has 48 divisors (see below), whose sum is σ = 6405802341120. Its totient is φ = 2516564834784.

The previous prime is 4022324422427. The next prime is 4022324422471. The reversal of 4022324422443 is 3442244232204.

4022324422443 is a `hidden beast` number, since 4 + 0 + 223 + 2 + 4 + 422 + 4 + 4 + 3 = 666.

It is not a de Polignac number, because 4022324422443 - 24 = 4022324422427 is a prime.

It is a super-4 number, since 4×40223244224434 (a number of 52 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4022324422398 and 4022324422407.

It is not an unprimeable number, because it can be changed into a prime (4022324422423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6493273 + ... + 7085706.

It is an arithmetic number, because the mean of its divisors is an integer number (133454215440).

Almost surely, 24022324422443 is an apocalyptic number.

4022324422443 is a deficient number, since it is larger than the sum of its proper divisors (2383477918677).

4022324422443 is a wasteful number, since it uses less digits than its factorization.

4022324422443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13579070 (or 13579058 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 4022324422443 its reverse (3442244232204), we get a palindrome (7464568654647).

The spelling of 4022324422443 in words is "four trillion, twenty-two billion, three hundred twenty-four million, four hundred twenty-two thousand, four hundred forty-three".

Divisors: 1 3 9 23 27 53 69 81 159 207 243 477 621 1219 1431 1863 3657 4293 5589 10971 12879 32913 98739 296217 13578979 40736937 122210811 312316517 366632433 719685887 936949551 1099897299 2159057661 2810848653 3299691897 6477172983 8432545959 16552775401 19431518949 25297637877 49658326203 58294556847 75892913631 148974978609 174883670541 446924935827 1340774807481 4022324422443