Search a number
-
+
14132709900 = 223552739787
BaseRepresentation
bin11010010100110000…
…00000101000001100
31100110221012001100000
431022120000220030
5212420433204100
610254213004300
71010136023601
oct151230005014
940427161300
1014132709900
115aa2601141
1228a5023690
131442c65c4a
14980d806a8
1557aae9900
hex34a600a0c

14132709900 has 216 divisors, whose sum is σ = 46059482560. Its totient is φ = 3758840640.

The previous prime is 14132709893. The next prime is 14132709953. The reversal of 14132709900 is 990723141.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17957307 + ... + 17958093.

Almost surely, 214132709900 is an apocalyptic number.

14132709900 is a gapful number since it is divisible by the number (10) 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 14132709900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23029741280).

14132709900 is an abundant number, since it is smaller than the sum of its proper divisors (31926772660).

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

14132709900 is a wasteful number, since it uses less digits than its factorization.

14132709900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 14132709900 in words is "fourteen billion, one hundred thirty-two million, seven hundred nine thousand, nine hundred".