Search a number
-
+
204067021008240 = 2433513101316014481
BaseRepresentation
bin101110011001100100001110…
…010011000010110101110000
3222202112121122120011201221000
4232121210032103002311300
5203221413224334230430
62002003032324202000
760661233005433255
oct5631441623026560
9882477576151830
10204067021008240
115a027379385425
121aa79680539300
1389b358c294a30
143856c7a08142c
15188d3b8d65e60
hexb9990e4c2d70

204067021008240 has 640 divisors, whose sum is σ = 758356284591360. Its totient is φ = 50139758592000.

The previous prime is 204067021008167. The next prime is 204067021008289. The reversal of 204067021008240 is 42800120760402.

204067021008240 is a `hidden beast` number, since 2 + 0 + 406 + 7 + 0 + 2 + 1 + 0 + 0 + 8 + 240 = 666.

It is a super-2 number, since 2×2040670210082402 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 204067021008195 and 204067021008204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45540506800 + ... + 45540511280.

It is an arithmetic number, because the mean of its divisors is an integer number (1184931694674).

Almost surely, 2204067021008240 is an apocalyptic number.

204067021008240 is a gapful number since it is divisible by the number (20) 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 204067021008240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379178142295680).

204067021008240 is an abundant number, since it is smaller than the sum of its proper divisors (554289263583120).

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

204067021008240 is a wasteful number, since it uses less digits than its factorization.

204067021008240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7130 (or 7118 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 204067021008240 its reverse (42800120760402), we get a palindrome (246867141768642).

The spelling of 204067021008240 in words is "two hundred four trillion, sixty-seven billion, twenty-one million, eight thousand, two hundred forty".