Search a number
-
+
104424431441 = 1115121627811
BaseRepresentation
bin110000101000000101…
…1100101111101010001
3100222112111222202011212
41201100023211331101
53202330123301231
6115545533545505
710354510010351
oct1412013457521
9328474882155
10104424431441
1140316961a10
12182a3645295
139b02347c05
1450a88d8b61
152ab289c42b
hex18502e5f51

104424431441 has 8 divisors (see below), whose sum is σ = 113925276768. Its totient is φ = 94924872000.

The previous prime is 104424431417. The next prime is 104424431443. The reversal of 104424431441 is 144134424401.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-104424431441 is a prime.

It is a super-2 number, since 2×1044244314412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 104424431398 and 104424431407.

It is not an unprimeable number, because it can be changed into a prime (104424431443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147575 + ... + 480236.

It is an arithmetic number, because the mean of its divisors is an integer number (14240659596).

Almost surely, 2104424431441 is an apocalyptic number.

104424431441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104424431441 is a deficient number, since it is larger than the sum of its proper divisors (9500845327).

104424431441 is a wasteful number, since it uses less digits than its factorization.

104424431441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642943.

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 104424431441 its reverse (144134424401), we get a palindrome (248558855842).

The spelling of 104424431441 in words is "one hundred four billion, four hundred twenty-four million, four hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 11 15121 166331 627811 6905921 9493130131 104424431441