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114455324313 = 32115383269977
BaseRepresentation
bin110101010011000010…
…0011010011010011001
3101221102120212220100200
41222212010122122121
53333401030334223
6124325142452413
711161211130111
oct1524604323231
9357376786320
10114455324313
11445a4057220
121a222a34109
13aa40560895
14577abc0041
152e9d30da43
hex1aa611a699

114455324313 has 96 divisors (see below), whose sum is σ = 186853080960. Its totient is φ = 66919557120.

The previous prime is 114455324297. The next prime is 114455324371. The reversal of 114455324313 is 313423554411.

114455324313 is a `hidden beast` number, since 1 + 14 + 4 + 5 + 5 + 324 + 313 = 666.

It is not a de Polignac number, because 114455324313 - 24 = 114455324297 is a prime.

It is a super-3 number, since 3×1144553243133 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (114455324383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117149281 + ... + 117150257.

It is an arithmetic number, because the mean of its divisors is an integer number (1946386260).

Almost surely, 2114455324313 is an apocalyptic number.

It is an amenable number.

114455324313 is a deficient number, since it is larger than the sum of its proper divisors (72397756647).

114455324313 is a wasteful number, since it uses less digits than its factorization.

114455324313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1396 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 114455324313 its reverse (313423554411), we get a palindrome (427878878724).

The spelling of 114455324313 in words is "one hundred fourteen billion, four hundred fifty-five million, three hundred twenty-four thousand, three hundred thirteen".

Divisors: 1 3 9 11 33 53 83 99 159 249 269 477 583 747 807 913 977 1749 2421 2739 2931 2959 4399 5247 8217 8793 8877 10747 13197 14257 22327 26631 32241 39591 42771 48389 51781 66981 81091 96723 128313 145167 155343 156827 200943 243273 245597 262813 435501 466029 470481 569591 729819 736791 788439 892001 1183331 1411443 1708773 2210373 2365317 2676003 2890943 3549993 4297823 5126319 8028009 8672829 10649979 12893469 13016641 13929089 21813479 26018487 38680407 39049923 41787267 47276053 65440437 117149769 125361801 141828159 153219979 196321311 239948269 425484477 459659937 719844807 1156114387 1378979811 2159534421 3468343161 10405029483 12717258257 38151774771 114455324313