Search a number
-
+
14007778200 = 23335213375393
BaseRepresentation
bin11010000101110110…
…11011101110011000
31100011020002212021000
431002323123232120
5212141442400300
610233551145000
71004061102333
oct150273335630
940136085230
1014007778200
115a390310a9
12286b215160
131423103370
1496c53d61a
1556eb6cc00
hex342edbb98

14007778200 has 384 divisors, whose sum is σ = 53374708800. Its totient is φ = 3354255360.

The previous prime is 14007778199. The next prime is 14007778217. The reversal of 14007778200 is 287770041.

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

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 95 ways as a sum of consecutive naturals, for example, 2594704 + ... + 2600096.

Almost surely, 214007778200 is an apocalyptic number.

14007778200 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 14007778200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26687354400).

14007778200 is an abundant number, since it is smaller than the sum of its proper divisors (39366930600).

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

14007778200 is a wasteful number, since it uses less digits than its factorization.

14007778200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5468 (or 5453 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The spelling of 14007778200 in words is "fourteen billion, seven million, seven hundred seventy-eight thousand, two hundred".