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114213244041 = 32131039477491
BaseRepresentation
bin110101001011110100…
…0111100110010001001
3101220210201100221122200
41222113220330302021
53332402042302131
6124245134110413
711152211361531
oct1522750746211
9356721327580
10114213244041
114448a442786
121a17594b409
13aa02361c10
1457569a64c1
152e86e412e6
hex1a97a3cc89

114213244041 has 24 divisors (see below), whose sum is σ = 179389968576. Its totient is φ = 69602686560.

The previous prime is 114213244031. The next prime is 114213244063. The reversal of 114213244041 is 140442312411.

114213244041 is a `hidden beast` number, since 1 + 1 + 4 + 213 + 2 + 440 + 4 + 1 = 666.

It is not a de Polignac number, because 114213244041 - 222 = 114209049737 is a prime.

It is a super-2 number, since 2×1142132440412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114213243996 and 114213244014.

It is not an unprimeable number, because it can be changed into a prime (114213244031) 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 23 ways as a sum of consecutive naturals, for example, 4726695 + ... + 4750796.

It is an arithmetic number, because the mean of its divisors is an integer number (7474582024).

Almost surely, 2114213244041 is an apocalyptic number.

It is an amenable number.

114213244041 is a deficient number, since it is larger than the sum of its proper divisors (65176724535).

114213244041 is a wasteful number, since it uses less digits than its factorization.

114213244041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9477613 (or 9477610 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 114213244041 its reverse (140442312411), we get a palindrome (254655556452).

The spelling of 114213244041 in words is "one hundred fourteen billion, two hundred thirteen million, two hundred forty-four thousand, forty-one".

Divisors: 1 3 9 13 39 103 117 309 927 1339 4017 12051 9477491 28432473 85297419 123207383 369622149 976181573 1108866447 2928544719 8785634157 12690360449 38071081347 114213244041