Search a number
-
+
14346112632 = 2334911217423
BaseRepresentation
bin11010101110001100…
…00100111001111000
31101000210202000211220
431113012010321320
5213340101101012
610331314552040
71015336642155
oct152706047170
941023660756
1014346112632
1160a2008835
122944598620
131478233857
149a145122c
1558e70008c
hex357184e78

14346112632 has 32 divisors (see below), whose sum is σ = 35938356480. Its totient is φ = 4772294240.

The previous prime is 14346112603. The next prime is 14346112639. The reversal of 14346112632 is 23621164341.

It is a happy number.

14346112632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14346112593 and 14346112602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14346112639) 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, 596928 + ... + 620495.

It is an arithmetic number, because the mean of its divisors is an integer number (1123073640).

Almost surely, 214346112632 is an apocalyptic number.

14346112632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14346112632 is an abundant number, since it is smaller than the sum of its proper divisors (21592243848).

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

14346112632 is a wasteful number, since it uses less digits than its factorization.

14346112632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217923 (or 1217919 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

Adding to 14346112632 its reverse (23621164341), we get a palindrome (37967276973).

The spelling of 14346112632 in words is "fourteen billion, three hundred forty-six million, one hundred twelve thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 491 982 1473 1964 2946 3928 5892 11784 1217423 2434846 3652269 4869692 7304538 9739384 14609076 29218152 597754693 1195509386 1793264079 2391018772 3586528158 4782037544 7173056316 14346112632