Search a number
-
+
250204343040 = 2833531409571
BaseRepresentation
bin1110100100000101010…
…1110100101100000000
3212220211011121120002000
43221001111310230000
513044404302434130
6310535311224000
724035203553031
oct3510125645400
9786734546060
10250204343040
11971249131a3
12405a8b18000
131a795506c32
14c177a04a88
156795c30260
hex3a41574b00

250204343040 has 576 divisors, whose sum is σ = 920369049600. Its totient is φ = 64298188800.

The previous prime is 250204342981. The next prime is 250204343041. The reversal of 250204343040 is 40343402052.

250204343040 is a `hidden beast` number, since 25 + 0 + 204 + 3 + 430 + 4 + 0 = 666.

250204343040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 250204342995 and 250204343013.

It is not an unprimeable number, because it can be changed into a prime (250204343041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 438185955 + ... + 438186525.

Almost surely, 2250204343040 is an apocalyptic number.

250204343040 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 250204343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460184524800).

250204343040 is an abundant number, since it is smaller than the sum of its proper divisors (670164706560).

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

250204343040 is a wasteful number, since it uses less digits than its factorization.

250204343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 250204343040 its reverse (40343402052), we get a palindrome (290547745092).

The spelling of 250204343040 in words is "two hundred fifty billion, two hundred four million, three hundred forty-three thousand, forty".