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1240423334304 = 2537111193140659
BaseRepresentation
bin10010000011001110111…
…111100000000110100000
311101120202020100020222020
4102003032333200012200
5130310341333144204
62345502000541440
7155421563242440
oct22031677400640
94346666306866
101240423334304
114390736a84a0
1218049b321880
138cc8228b82b
1444073012120
15223ed944bd9
hex120cefe01a0

1240423334304 has 192 divisors, whose sum is σ = 4062998983680. Its totient is φ = 321915525120.

The previous prime is 1240423334263. The next prime is 1240423334351. The reversal of 1240423334304 is 4034333240421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8748327 + ... + 8888985.

It is an arithmetic number, because the mean of its divisors is an integer number (21161453040).

Almost surely, 21240423334304 is an apocalyptic number.

1240423334304 is a gapful number since it is divisible by the number (14) 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 1240423334304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031499491840).

1240423334304 is an abundant number, since it is smaller than the sum of its proper divisors (2822575649376).

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

1240423334304 is a wasteful number, since it uses less digits than its factorization.

1240423334304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141883 (or 141875 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 1240423334304 its reverse (4034333240421), we get a palindrome (5274756574725).

The spelling of 1240423334304 in words is "one trillion, two hundred forty billion, four hundred twenty-three million, three hundred thirty-four thousand, three hundred four".