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240576675042 = 23113645101137
BaseRepresentation
bin1110000000001101111…
…1001011110011100010
3211222222012110100102210
43200003133023303202
512420200112100132
6302304105022550
723244466666104
oct3400337136342
9758865410383
10240576675042
1193034296790
123a760784a56
13198bc9c1672
14b9030c3574
1563d08bcbcc
hex38037cbce2

240576675042 has 16 divisors (see below), whose sum is σ = 524894563872. Its totient is φ = 72902022720.

The previous prime is 240576675041. The next prime is 240576675061.

240576675042 is nontrivially palindromic in base 10.

240576675042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 240576674982 and 240576675000.

It is not an unprimeable number, because it can be changed into a prime (240576675041) 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 7 ways as a sum of consecutive naturals, for example, 1822550503 + ... + 1822550634.

It is an arithmetic number, because the mean of its divisors is an integer number (32805910242).

Almost surely, 2240576675042 is an apocalyptic number.

240576675042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

240576675042 is an abundant number, since it is smaller than the sum of its proper divisors (284317888830).

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

240576675042 is a wasteful number, since it uses less digits than its factorization.

240576675042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3645101153.

The product of its (nonzero) digits is 2822400, while the sum is 48.

The spelling of 240576675042 in words is "two hundred forty billion, five hundred seventy-six million, six hundred seventy-five thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 66 3645101137 7290202274 10935303411 21870606822 40096112507 80192225014 120288337521 240576675042