Search a number
-
+
14695314744 = 23311237189383
BaseRepresentation
bin11011010111110100…
…01011010100111000
31101221010211100002110
431223322023110320
5220044000032434
610430111332320
71030110054135
oct155372132470
941833740073
1014695314744
116261138520
122a215210a0
13150269a816
149d599158c
155b01cc4e9
hex36be8b538

14695314744 has 256 divisors, whose sum is σ = 42998169600. Its totient is φ = 4141491200.

The previous prime is 14695314707. The next prime is 14695314763. The reversal of 14695314744 is 44741359641.

It is a junction number, because it is equal to n+sod(n) for n = 14695314693 and 14695314702.

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 63 ways as a sum of consecutive naturals, for example, 38368777 + ... + 38369159.

It is an arithmetic number, because the mean of its divisors is an integer number (167961600).

Almost surely, 214695314744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14695314744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21499084800).

14695314744 is an abundant number, since it is smaller than the sum of its proper divisors (28302854856).

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

14695314744 is a wasteful number, since it uses less digits than its factorization.

14695314744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 582 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The spelling of 14695314744 in words is "fourteen billion, six hundred ninety-five million, three hundred fourteen thousand, seven hundred forty-four".