Search a number
-
+
3106385225496 = 2333731431541251
BaseRepresentation
bin101101001101000010111…
…111001110011100011000
3101222222010022211200102000
4231031002333032130120
5401343334104203441
610335015332041000
7440300056516260
oct55150277163430
911888108750360
103106385225496
11a98457527243
12422056163160
13196c14175b87
14aa4c7da27a0
1555c0e30c2b6
hex2d342fce718

3106385225496 has 256 divisors, whose sum is σ = 10416397516800. Its totient is φ = 838933200000.

The previous prime is 3106385225473. The next prime is 3106385225513. The reversal of 3106385225496 is 6945225836013.

It is a happy number.

3106385225496 is a `hidden beast` number, since 3 + 1 + 0 + 6 + 385 + 2 + 254 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1244871 + ... + 2786121.

It is an arithmetic number, because the mean of its divisors is an integer number (40689052800).

Almost surely, 23106385225496 is an apocalyptic number.

3106385225496 is a gapful number since it is divisible by the number (36) 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 3106385225496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208198758400).

3106385225496 is an abundant number, since it is smaller than the sum of its proper divisors (7310012291304).

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

3106385225496 is a wasteful number, since it uses less digits than its factorization.

3106385225496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541347 (or 1541337 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 3106385225496 in words is "three trillion, one hundred six billion, three hundred eighty-five million, two hundred twenty-five thousand, four hundred ninety-six".