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1142303340040 = 2351731591735309
BaseRepresentation
bin10000100111110110100…
…101011011011000001000
311001012111002021002202121
4100213312211123120020
5122203414123340130
62232433352541024
7145346225120302
oct20476645333010
94035432232677
101142303340040
114004a2501545
121654770b1774
1383946102025
143d405932972
151eaa97b8d7a
hex109f695b608

1142303340040 has 256 divisors, whose sum is σ = 2873822976000. Its totient is φ = 406676029440.

The previous prime is 1142303339953. The next prime is 1142303340083. The reversal of 1142303340040 is 400433032411.

It is a junction number, because it is equal to n+sod(n) for n = 1142303339987 and 1142303340014.

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 63 ways as a sum of consecutive naturals, for example, 215160906 + ... + 215166214.

It is an arithmetic number, because the mean of its divisors is an integer number (11225871000).

Almost surely, 21142303340040 is an apocalyptic number.

1142303340040 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 1142303340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436911488000).

1142303340040 is an abundant number, since it is smaller than the sum of its proper divisors (1731519635960).

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

1142303340040 is a wasteful number, since it uses less digits than its factorization.

1142303340040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5600 (or 5596 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 1142303340040 its reverse (400433032411), we get a palindrome (1542736372451).

The spelling of 1142303340040 in words is "one trillion, one hundred forty-two billion, three hundred three million, three hundred forty thousand, forty".