Search a number
-
+
14159620800 = 26335213191327
BaseRepresentation
bin11010010111111101…
…01010101011000000
31100112210211021011000
431023332222223000
5212444330331200
610301013452000
71010613535203
oct151376525300
940483737130
1014159620800
116006811756
1228b2041000
1314486c8b60
1498478793a
1557d163300
hex34bfaaac0

14159620800 has 672 divisors, whose sum is σ = 58557363200. Its totient is φ = 3299512320.

The previous prime is 14159620799. The next prime is 14159620837. The reversal of 14159620800 is 802695141.

14159620800 is a `hidden beast` number, since 1 + 41 + 596 + 20 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×141596208002 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10669737 + ... + 10671063.

Almost surely, 214159620800 is an apocalyptic number.

14159620800 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 14159620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29278681600).

14159620800 is an abundant number, since it is smaller than the sum of its proper divisors (44397742400).

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

14159620800 is a wasteful number, since it uses less digits than its factorization.

14159620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 14159620800 in words is "fourteen billion, one hundred fifty-nine million, six hundred twenty thousand, eight hundred".