Search a number
-
+
3142025486208 = 273371961112061
BaseRepresentation
bin101101101110001111010…
…100000001111110000000
3102010101010011021111221000
4231232033110001332000
5402434332011024313
610403232050332000
7443001214654020
oct55561724017600
912111104244830
103142025486208
111001586524664
12428b41b8a000
1319a3a3c2083b
14ac109535a80
1556ae81ae673
hex2db8f501f80

3142025486208 has 512 divisors, whose sum is σ = 11338881408000. Its totient is φ = 836523417600.

The previous prime is 3142025486191. The next prime is 3142025486213. The reversal of 3142025486208 is 8026845202413.

3142025486208 is a `hidden beast` number, since 3 + 1 + 42 + 0 + 2 + 548 + 62 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27982498 + ... + 28094558.

It is an arithmetic number, because the mean of its divisors is an integer number (22146252750).

Almost surely, 23142025486208 is an apocalyptic number.

3142025486208 is a gapful number since it is divisible by the number (38) 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 3142025486208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5669440704000).

3142025486208 is an abundant number, since it is smaller than the sum of its proper divisors (8196855921792).

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

3142025486208 is a wasteful number, since it uses less digits than its factorization.

3142025486208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112171 (or 112153 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 3142025486208 in words is "three trillion, one hundred forty-two billion, twenty-five million, four hundred eighty-six thousand, two hundred eight".