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2442223302441 = 313611447970901
BaseRepresentation
bin100011100010011111110…
…110100011011100101001
322122110210202000020001020
4203202133312203130221
5310003133131134231
65105535241043053
7341305366361136
oct43423766433451
98573722006036
102442223302441
1186181742725a
1233539b786489
131493ba754c30
14862c060558d
15437db67e396
hex2389fda3729

2442223302441 has 32 divisors (see below), whose sum is σ = 3564566853120. Its totient is φ = 1478145888000.

The previous prime is 2442223302391. The next prime is 2442223302487. The reversal of 2442223302441 is 1442033222442.

It is a happy number.

It is not a de Polignac number, because 2442223302441 - 222 = 2442219108137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2442223303441) 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 31 ways as a sum of consecutive naturals, for example, 34410091 + ... + 34480991.

It is an arithmetic number, because the mean of its divisors is an integer number (111392714160).

Almost surely, 22442223302441 is an apocalyptic number.

It is an amenable number.

2442223302441 is a deficient number, since it is larger than the sum of its proper divisors (1122343550679).

2442223302441 is a wasteful number, since it uses less digits than its factorization.

2442223302441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85457.

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 2442223302441 its reverse (1442033222442), we get a palindrome (3884256524883).

The spelling of 2442223302441 in words is "two trillion, four hundred forty-two billion, two hundred twenty-three million, three hundred two thousand, four hundred forty-one".

Divisors: 1 3 13 39 61 183 793 2379 14479 43437 70901 188227 212703 564681 883219 921713 2649657 2765139 4324961 11481847 12974883 34445541 56224493 168673479 1026575579 3079726737 13345482527 40036447581 62621110319 187863330957 814074434147 2442223302441