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1142514140040 = 2336571317193143
BaseRepresentation
bin10000101000000011001…
…001100100001110001000
311001020000202220212000000
4100220003021210032020
5122204332104440130
62232510323043000
7145354364645460
oct20500311441610
94036022825000
101142514140040
114005a04a0719
12165515810460
138397a99b060
143d425926ba0
151eabd058260
hex10a03264388

1142514140040 has 3584 divisors, whose sum is σ = 5584519987200. Its totient is φ = 203166351360.

The previous prime is 1142514140003. The next prime is 1142514140069. The reversal of 1142514140040 is 400414152411.

It is a happy number.

1142514140040 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 514 + 140 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1142514139986 and 1142514140013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 26570096259 + ... + 26570096301.

It is an arithmetic number, because the mean of its divisors is an integer number (1558180800).

Almost surely, 21142514140040 is an apocalyptic number.

1142514140040 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 1142514140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792259993600).

1142514140040 is an abundant number, since it is smaller than the sum of its proper divisors (4442005847160).

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

1142514140040 is a wasteful number, since it uses less digits than its factorization.

1142514140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 1142514140040 its reverse (400414152411), we get a palindrome (1542928292451).

The spelling of 1142514140040 in words is "one trillion, one hundred forty-two billion, five hundred fourteen million, one hundred forty thousand, forty".