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441105431 = 132310314323
BaseRepresentation
bin11010010010101…
…011110000010111
31010202000110220012
4122102223300113
51400410333211
6111434230435
713634222444
oct3222536027
91122013805
10441105431
11206aa1048
1210388541b
1370504340
14428249cb
1528ad2d8b
hex1a4abc17

441105431 has 16 divisors (see below), whose sum is σ = 500537856. Its totient is φ = 385662816.

The previous prime is 441105407. The next prime is 441105487. The reversal of 441105431 is 134501144.

It is a cyclic number.

It is not a de Polignac number, because 441105431 - 26 = 441105367 is a prime.

It is a super-3 number, since 3×4411054313 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 441105397 and 441105406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441105031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23636 + ... + 37958.

It is an arithmetic number, because the mean of its divisors is an integer number (31283616).

Almost surely, 2441105431 is an apocalyptic number.

441105431 is a deficient number, since it is larger than the sum of its proper divisors (59432425).

441105431 is a wasteful number, since it uses less digits than its factorization.

441105431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14462.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 441105431 is about 21002.5101118890. The cubic root of 441105431 is about 761.2269142583.

Adding to 441105431 its reverse (134501144), we get a palindrome (575606575).

The spelling of 441105431 in words is "four hundred forty-one million, one hundred five thousand, four hundred thirty-one".

Divisors: 1 13 23 103 299 1339 2369 14323 30797 186199 329429 1475269 4282577 19178497 33931187 441105431