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204201333040 = 24517150148039
BaseRepresentation
bin1011111000101101011…
…0010001000100110000
3201112002010211111221211
42332023112101010300
511321201020124130
6233450411125504
720516204456245
oct2761326210460
9645063744854
10204201333040
1179668368971
12336aa743894
1316343873863
149c520835cc
1554a2218a2a
hex2f8b591130

204201333040 has 40 divisors (see below), whose sum is σ = 502695637920. Its totient is φ = 76875795456.

The previous prime is 204201333029. The next prime is 204201333047. The reversal of 204201333040 is 40333102402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (204201333047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75072660 + ... + 75075379.

It is an arithmetic number, because the mean of its divisors is an integer number (12567390948).

Almost surely, 2204201333040 is an apocalyptic number.

204201333040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204201333040 is an abundant number, since it is smaller than the sum of its proper divisors (298494304880).

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

204201333040 is a wasteful number, since it uses less digits than its factorization.

204201333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150148069 (or 150148063 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 204201333040 its reverse (40333102402), we get a palindrome (244534435442).

The spelling of 204201333040 in words is "two hundred four billion, two hundred one million, three hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 150148039 300296078 600592156 750740195 1201184312 1501480390 2402368624 2552516663 3002960780 5105033326 6005921560 10210066652 12011843120 12762583315 20420133304 25525166630 40840266608 51050333260 102100666520 204201333040