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432121031441 = 11312307133153
BaseRepresentation
bin1100100100111000110…
…10111010101100010001
31112022101020221211111222
412102130122322230101
524034440441001231
6530302541214425
743135235110001
oct6223432725421
91468336854458
10432121031441
11157297069780
126b8b8561415
1331997276018
1416cb41b0001
15b39184127b
hex649c6bab11

432121031441 has 24 divisors (see below), whose sum is σ = 488692223712. Its totient is φ = 378923961600.

The previous prime is 432121031429. The next prime is 432121031443. The reversal of 432121031441 is 144130121234.

It is not a de Polignac number, because 432121031441 - 234 = 414941162257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 432121031441.

It is not an unprimeable number, because it can be changed into a prime (432121031443) 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 23 ways as a sum of consecutive naturals, for example, 3178721 + ... + 3311873.

It is an arithmetic number, because the mean of its divisors is an integer number (20362175988).

Almost surely, 2432121031441 is an apocalyptic number.

It is an amenable number.

432121031441 is a deficient number, since it is larger than the sum of its proper divisors (56571192271).

432121031441 is a wasteful number, since it uses less digits than its factorization.

432121031441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133533 (or 133502 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 432121031441 its reverse (144130121234), we get a palindrome (576251152675).

The spelling of 432121031441 in words is "four hundred thirty-two billion, one hundred twenty-one million, thirty-one thousand, four hundred forty-one".

Divisors: 1 11 31 307 341 961 3377 9517 10571 104687 133153 295027 1464683 3245297 4127743 40877971 45405173 127960033 449657681 1267217101 1407560363 13939388111 39283730131 432121031441