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115444314 = 232172347349
BaseRepresentation
bin1101110000110…
…00101001011010
322001020011211100
412320120221122
5214023204224
615242212230
72601155226
oct670305132
9261204740
10115444314
115a190027
12327b4076
131abc045b
1411491786
15a205ac9
hex6e18a5a

115444314 has 96 divisors (see below), whose sum is σ = 283046400. Its totient is φ = 33808896.

The previous prime is 115444271. The next prime is 115444319. The reversal of 115444314 is 413444511.

It is not an unprimeable number, because it can be changed into a prime (115444319) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 330612 + ... + 330960.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2115444314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115444314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

115444314 is an abundant number, since it is smaller than the sum of its proper divisors (167602086).

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

115444314 is a wasteful number, since it uses less digits than its factorization.

115444314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 441 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 115444314 is about 10744.5015705709. The cubic root of 115444314 is about 486.9198906329.

Adding to 115444314 its reverse (413444511), we get a palindrome (528888825).

The spelling of 115444314 in words is "one hundred fifteen million, four hundred forty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 17 18 23 34 46 47 51 69 94 102 138 141 153 207 282 306 349 391 414 423 698 782 799 846 1047 1081 1173 1598 2094 2162 2346 2397 3141 3243 3519 4794 5933 6282 6486 7038 7191 8027 9729 11866 14382 16054 16403 17799 18377 19458 24081 32806 35598 36754 48162 49209 53397 55131 72243 98418 106794 110262 136459 144486 147627 165393 272918 278851 295254 330786 377269 409377 557702 754538 818754 836553 1131807 1228131 1673106 2263614 2456262 2509659 3395421 5019318 6413573 6790842 12827146 19240719 38481438 57722157 115444314