Search a number
-
+
14039664408 = 23327114753881
BaseRepresentation
bin11010001001101010…
…00100011100011000
31100020110002211220200
431010311010130120
5212223123230113
610241050422200
71004626115130
oct150465043430
940213084820
1014039664408
115a5502a740
122879a31960
1314298b8a43
1497287dac0
1557286a873
hex344d44718

14039664408 has 192 divisors, whose sum is σ = 48416209920. Its totient is φ = 3569011200.

The previous prime is 14039664391. The next prime is 14039664427. The reversal of 14039664408 is 80446693041.

14039664408 is a `hidden beast` number, since 140 + 3 + 9 + 66 + 440 + 8 = 666.

It is a super-2 number, since 2×140396644082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233628 + ... + 287508.

It is an arithmetic number, because the mean of its divisors is an integer number (252167760).

Almost surely, 214039664408 is an apocalyptic number.

14039664408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14039664408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24208104960).

14039664408 is an abundant number, since it is smaller than the sum of its proper divisors (34376545512).

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

14039664408 is a wasteful number, since it uses less digits than its factorization.

14039664408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53958 (or 53951 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 14039664408 in words is "fourteen billion, thirty-nine million, six hundred sixty-four thousand, four hundred eight".