Search a number
-
+
14522137940 = 2253313219169
BaseRepresentation
bin11011000011001011…
…00011110101010100
31101111001222001011202
431201211203311110
5214220131403230
610401003452032
71022605064402
oct154145436524
941431861152
1014522137940
1161824061a2
122993527018
1314a584553b
149ba992472
1559edc0a45
hex361963d54

14522137940 has 24 divisors (see below), whose sum is σ = 30505833960. Its totient is φ = 5807075328.

The previous prime is 14522137939. The next prime is 14522137943. The reversal of 14522137940 is 4973122541.

14522137940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7194093124 + 7328044816 = 84818^2 + 85604^2 .

It is a super-3 number, since 3×145221379403 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14522137894 and 14522137903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14522137943) 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, 43325 + ... + 175844.

It is an arithmetic number, because the mean of its divisors is an integer number (1271076415).

Almost surely, 214522137940 is an apocalyptic number.

14522137940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14522137940 is an abundant number, since it is smaller than the sum of its proper divisors (15983696020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14522137940 is a wasteful number, since it uses less digits than its factorization.

14522137940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222491 (or 222489 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 14522137940 in words is "fourteen billion, five hundred twenty-two million, one hundred thirty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 3313 6626 13252 16565 33130 66260 219169 438338 876676 1095845 2191690 4383380 726106897 1452213794 2904427588 3630534485 7261068970 14522137940