Search a number
-
+
14431103414 = 2713379722093
BaseRepresentation
bin11010111000010100…
…10010100110110110
31101020201200000021122
431130022102212312
5214023330302124
610343552343542
71020421232540
oct153412224666
941221600248
1014431103414
116135a88652
122968b44bb2
13148ca20760
149ac856690
15596ddc75e
hex35c2929b6

14431103414 has 64 divisors (see below), whose sum is σ = 27645426816. Its totient is φ = 5497196544.

The previous prime is 14431103413. The next prime is 14431103441. The reversal of 14431103414 is 41430113441.

It is a happy number.

14431103414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×144311034144 (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14431103411) 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 31 ways as a sum of consecutive naturals, for example, 642152 + ... + 664244.

It is an arithmetic number, because the mean of its divisors is an integer number (431959794).

Almost surely, 214431103414 is an apocalyptic number.

14431103414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14431103414 is a deficient number, since it is larger than the sum of its proper divisors (13214323402).

14431103414 is a wasteful number, since it uses less digits than its factorization.

14431103414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22249.

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

Adding to 14431103414 its reverse (41430113441), we get a palindrome (55861216855).

The spelling of 14431103414 in words is "fourteen billion, four hundred thirty-one million, one hundred three thousand, four hundred fourteen".

Divisors: 1 2 7 13 14 26 37 74 91 97 182 194 259 481 518 679 962 1261 1358 2522 3367 3589 6734 7178 8827 17654 22093 25123 44186 46657 50246 93314 154651 287209 309302 326599 574418 653198 817441 1634882 2010463 2143021 4020926 4286042 5722087 10626733 11444174 15001147 21253466 27859273 30002294 55718546 74387131 79291777 148774262 158583554 195014911 390029822 555042439 1030793101 1110084878 2061586202 7215551707 14431103414