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4022453340441 = 321073774162337
BaseRepresentation
bin111010100010001100111…
…001110000100100011001
3112020112122200121120120200
4322202030321300210121
51011400441023343231
612315520051012413
7563420100153054
oct72421471604431
915215580546520
104022453340441
111310a05055678
1254b6b359a109
132324148469b3
14dc98b3aba9b
156e9772d6be6
hex3a88ce70919

4022453340441 has 12 divisors (see below), whose sum is σ = 5810265886932. Its totient is φ = 2681609942016.

The previous prime is 4022453340413. The next prime is 4022453340457. The reversal of 4022453340441 is 1440433542204.

4022453340441 is a `hidden beast` number, since 4 + 0 + 2 + 245 + 3 + 3 + 404 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1747409034816 + 2275044305625 = 1321896^2 + 1508325^2 .

It is not a de Polignac number, because 4022453340441 - 239 = 3472697526553 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4022453340396 and 4022453340405.

It is not an unprimeable number, because it can be changed into a prime (4022453341441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1114776 + ... + 3047561.

It is an arithmetic number, because the mean of its divisors is an integer number (484188823911).

Almost surely, 24022453340441 is an apocalyptic number.

It is an amenable number.

4022453340441 is a deficient number, since it is larger than the sum of its proper divisors (1787812546491).

4022453340441 is a wasteful number, since it uses less digits than its factorization.

4022453340441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4269720 (or 4269717 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 4022453340441 its reverse (1440433542204), we get a palindrome (5462886882645).

The spelling of 4022453340441 in words is "four trillion, twenty-two billion, four hundred fifty-three million, three hundred forty thousand, four hundred forty-one".

Divisors: 1 3 9 107377 322131 966393 4162337 12487011 37461033 446939260049 1340817780147 4022453340441