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4144422223431 = 32765784479737
BaseRepresentation
bin111100010011110010110…
…100000111111001000111
3112200012110220120210210100
4330103302310013321013
51020400234042122211
612451530555255143
7605265434440110
oct74236264077107
915605426523710
104144422223431
111358704333716
1256b27274a4b3
13240a81901b89
1410483bdcd207
1572c15055156
hex3c4f2d07e47

4144422223431 has 12 divisors (see below), whose sum is σ = 6841585892752. Its totient is φ = 2368241270496.

The previous prime is 4144422223429. The next prime is 4144422223457. The reversal of 4144422223431 is 1343222244414.

4144422223431 is a `hidden beast` number, since 4 + 1 + 4 + 4 + 422 + 223 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 4144422223431 - 21 = 4144422223429 is a prime.

It is a super-2 number, since 2×41444222234312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144422222431) 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 11 ways as a sum of consecutive naturals, for example, 32892239806 + ... + 32892239931.

Almost surely, 24144422223431 is an apocalyptic number.

4144422223431 is a deficient number, since it is larger than the sum of its proper divisors (2697163669321).

4144422223431 is a wasteful number, since it uses less digits than its factorization.

4144422223431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65784479750 (or 65784479747 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 4144422223431 its reverse (1343222244414), we get a palindrome (5487644467845).

The spelling of 4144422223431 in words is "four trillion, one hundred forty-four billion, four hundred twenty-two million, two hundred twenty-three thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 63 65784479737 197353439211 460491358159 592060317633 1381474074477 4144422223431