Search a number
-
+
3245431320000 = 26335437241337
BaseRepresentation
bin101111001110100010110…
…001111110110111000000
3102111021000200121010211000
4233032202301332313000
5411133120404220000
610522533000252000
7453321546025062
oct57164261766700
912437020533730
103245431320000
11104141a410031
12444ba0471000
131a707321953c
14b3118a41732
155964b405000
hex2f3a2c7edc0

3245431320000 has 1120 divisors, whose sum is σ = 12331911775040. Its totient is φ = 836075520000.

The previous prime is 3245431319981. The next prime is 3245431320007. The reversal of 3245431320000 is 231345423.

3245431320000 is a `hidden beast` number, since 3 + 2 + 454 + 3 + 1 + 3 + 200 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3245431320007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9630359832 + ... + 9630360168.

Almost surely, 23245431320000 is an apocalyptic number.

3245431320000 is a gapful number since it is divisible by the number (30) 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 3245431320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6165955887520).

3245431320000 is an abundant number, since it is smaller than the sum of its proper divisors (9086480455040).

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

3245431320000 is a wasteful number, since it uses less digits than its factorization.

3245431320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 3245431320000 its reverse (231345423), we get a palindrome (3245662665423).

The spelling of 3245431320000 in words is "three trillion, two hundred forty-five billion, four hundred thirty-one million, three hundred twenty thousand".