Search a number
-
+
14644363734 = 2347311131997
BaseRepresentation
bin11011010001101111…
…10100000111010110
31101210120221202110000
431220313310013112
5214442424114414
610421051312130
71025621016000
oct155067640726
941716852400
1014644363734
1162353a8250
122a0844b646
1314c4c6b5b0
149ccccb370
155aa9b5b09
hex368df41d6

14644363734 has 640 divisors, whose sum is σ = 47811456000. Its totient is φ = 3292047360.

The previous prime is 14644363709. The next prime is 14644363781. The reversal of 14644363734 is 43736344641.

14644363734 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 4 + 3 + 637 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 14644363734.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 150972774 + ... + 150972870.

It is an arithmetic number, because the mean of its divisors is an integer number (74705400).

Almost surely, 214644363734 is an apocalyptic number.

14644363734 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14644363734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23905728000).

14644363734 is an abundant number, since it is smaller than the sum of its proper divisors (33167092266).

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

14644363734 is a wasteful number, since it uses less digits than its factorization.

14644363734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 152 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 45.

The spelling of 14644363734 in words is "fourteen billion, six hundred forty-four million, three hundred sixty-three thousand, seven hundred thirty-four".