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304131404000 = 25531918122109
BaseRepresentation
bin1000110110011111010…
…01001111000011100000
31002002000102220002121002
410123033221033003200
514440330114412000
6351414355251132
730654442165064
oct4331751170340
91062012802532
10304131404000
11107a88281276
124ab38ba9aa8
13228aaa3ab68
1410a11addaa4
157da023d8d5
hex46cfa4f0e0

304131404000 has 192 divisors, whose sum is σ = 790961371200. Its totient is φ = 114607872000.

The previous prime is 304131403999. The next prime is 304131404009. The reversal of 304131404000 is 404131403.

It is a happy number.

It is a super-2 number, since 2×3041314040002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304131404009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13744946 + ... + 13767054.

It is an arithmetic number, because the mean of its divisors is an integer number (4119590475).

Almost surely, 2304131404000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304131404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395480685600).

304131404000 is an abundant number, since it is smaller than the sum of its proper divisors (486829967200).

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

304131404000 is a wasteful number, since it uses less digits than its factorization.

304131404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22334 (or 22316 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 304131404000 its reverse (404131403), we get a palindrome (304535535403).

The spelling of 304131404000 in words is "three hundred four billion, one hundred thirty-one million, four hundred four thousand".