Search a number
-
+
13425426432000 = 2173353113189
BaseRepresentation
bin1100001101011101100111…
…0001100000000000000000
31202112110101001101110211000
43003113121301200000000
53224430233131311000
644315320013252000
72553645403533642
oct303273161400000
952473331343730
1013425426432000
114306767247860
121609b30194000
13765020c9749b
14345b19056892
1518435d3d8000
hexc35d9c60000

13425426432000 has 2304 divisors, whose sum is σ = 56532291379200. Its totient is φ = 3114270720000.

The previous prime is 13425426431951. The next prime is 13425426432001. The reversal of 13425426432000 is 23462452431.

13425426432000 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 5 + 4 + 2 + 643 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13425426432001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 150847487956 + ... + 150847488044.

It is an arithmetic number, because the mean of its divisors is an integer number (24536584800).

Almost surely, 213425426432000 is an apocalyptic number.

13425426432000 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 13425426432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28266145689600).

13425426432000 is an abundant number, since it is smaller than the sum of its proper divisors (43106864947200).

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

13425426432000 is an frugal number, since it uses more digits than its factorization.

13425426432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 13425426432000 its reverse (23462452431), we get a palindrome (13448888884431).

The spelling of 13425426432000 in words is "thirteen trillion, four hundred twenty-five billion, four hundred twenty-six million, four hundred thirty-two thousand".