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441432232241 = 71113440991241
BaseRepresentation
bin1100110110001110110…
…10010101000100110001
31120012102011121211202212
412123013122111010301
524213023122412431
6534442520421505
743615050031010
oct6330732250461
91505364554685
10441432232241
11160234a94750
1271676917895
133281c3463b0
1417518a72a77
15b738ee072b
hex66c7695131

441432232241 has 16 divisors (see below), whose sum is σ = 592692229248. Its totient is φ = 317513692800.

The previous prime is 441432232211. The next prime is 441432232243. The reversal of 441432232241 is 142232234144.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 441432232241 - 210 = 441432231217 is a prime.

It is a super-2 number, since 2×4414322322412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 441432232198 and 441432232207.

It is not an unprimeable number, because it can be changed into a prime (441432232243) 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 15 ways as a sum of consecutive naturals, for example, 220494620 + ... + 220496621.

It is an arithmetic number, because the mean of its divisors is an integer number (37043264328).

Almost surely, 2441432232241 is an apocalyptic number.

It is an amenable number.

441432232241 is a deficient number, since it is larger than the sum of its proper divisors (151259997007).

441432232241 is a wasteful number, since it uses less digits than its factorization.

441432232241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440991272.

The product of its digits is 36864, while the sum is 32.

Adding to 441432232241 its reverse (142232234144), we get a palindrome (583664466385).

The spelling of 441432232241 in words is "four hundred forty-one billion, four hundred thirty-two million, two hundred thirty-two thousand, two hundred forty-one".

Divisors: 1 7 11 13 77 91 143 1001 440991241 3086938687 4850903651 5732886133 33956325557 40130202931 63061747463 441432232241