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114240133045233 = 32131496553096601
BaseRepresentation
bin11001111110011010011010…
…100011001001101111110001
3112222111020202021221002210100
4121332122122203021233301
5104433202243024421413
61042545105334223013
733030401664653526
oct3176323243115761
9488436667832710
10114240133045233
1133444a71962938
12109906054b4a69
134b98a4bbb21b0
14202d37548314d
15d319ac159a73
hex67e69a8c9bf1

114240133045233 has 24 divisors (see below), whose sum is σ = 178899537234600. Its totient is φ = 69829797369600.

The previous prime is 114240133045229. The next prime is 114240133045243. The reversal of 114240133045233 is 332540331042411.

114240133045233 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 40 + 133 + 0 + 452 + 33 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12409894381824 + 101830238663409 = 3522768^2 + 10091097^2 .

It is not a de Polignac number, because 114240133045233 - 22 = 114240133045229 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114240133045243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3276530868 + ... + 3276565733.

It is an arithmetic number, because the mean of its divisors is an integer number (7454147384775).

Almost surely, 2114240133045233 is an apocalyptic number.

114240133045233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

114240133045233 is a deficient number, since it is larger than the sum of its proper divisors (64659404189367).

114240133045233 is a wasteful number, since it uses less digits than its factorization.

114240133045233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6553096769 (or 6553096766 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 114240133045233 its reverse (332540331042411), we get a palindrome (446780464087644).

The spelling of 114240133045233 in words is "one hundred fourteen trillion, two hundred forty billion, one hundred thirty-three million, forty-five thousand, two hundred thirty-three".

Divisors: 1 3 9 13 39 117 149 447 1341 1937 5811 17433 6553096601 19659289803 58977869409 85190255813 255570767439 766712302317 976411393549 2929234180647 8787702541941 12693348116137 38080044348411 114240133045233