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1050324311400 = 23352713314191481
BaseRepresentation
bin11110100100011000011…
…01010001110101101000
310201102001220111022201020
433102030031101311220
5114202031010431100
62122302355052440
7135612005225040
oct17221415216550
93642056438636
101050324311400
113754927679a1
1214b6875a1120
1378078298cb0
1438b9bc78720
151c4c481d5a0
hexf48c351d68

1050324311400 has 768 divisors, whose sum is σ = 4149334425600. Its totient is φ = 213801984000.

The previous prime is 1050324311389. The next prime is 1050324311417. The reversal of 1050324311400 is 41134230501.

It is a happy number.

It is a super-2 number, since 2×10503243114002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 709198660 + ... + 709200140.

It is an arithmetic number, because the mean of its divisors is an integer number (5402779200).

Almost surely, 21050324311400 is an apocalyptic number.

1050324311400 is a gapful number since it is divisible by the number (10) 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 1050324311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074667212800).

1050324311400 is an abundant number, since it is smaller than the sum of its proper divisors (3099010114200).

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

1050324311400 is a wasteful number, since it uses less digits than its factorization.

1050324311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 1050324311400 its reverse (41134230501), we get a palindrome (1091458541901).

The spelling of 1050324311400 in words is "one trillion, fifty billion, three hundred twenty-four million, three hundred eleven thousand, four hundred".