Search a number
-
+
114214044 = 223723311907
BaseRepresentation
bin1101100111011…
…00010010011100
321221220200012210
412303230102130
5213214322134
615200000420
72554542360
oct663542234
9257820183
10114214044
115951a77a
1232300110
131a87c499
14112512a0
15a0612e9
hex6cec49c

114214044 has 96 divisors (see below), whose sum is σ = 328237056. Its totient is φ = 30191040.

The previous prime is 114214033. The next prime is 114214049. The reversal of 114214044 is 440412411.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 114214044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114214049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58939 + ... + 60845.

It is an arithmetic number, because the mean of its divisors is an integer number (3419136).

Almost surely, 2114214044 is an apocalyptic number.

114214044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114214044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164118528).

114214044 is an abundant number, since it is smaller than the sum of its proper divisors (214023012).

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

114214044 is a wasteful number, since it uses less digits than its factorization.

114214044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 114214044 is about 10687.0970801242. The cubic root of 114214044 is about 485.1840361553.

Adding to 114214044 its reverse (440412411), we get a palindrome (554626455).

The spelling of 114214044 in words is "one hundred fourteen million, two hundred fourteen thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 31 42 46 62 69 84 92 93 124 138 161 186 217 276 322 372 434 483 644 651 713 868 966 1302 1426 1907 1932 2139 2604 2852 3814 4278 4991 5721 7628 8556 9982 11442 13349 14973 19964 22884 26698 29946 40047 43861 53396 59117 59892 80094 87722 118234 131583 160188 175444 177351 236468 263166 307027 354702 413819 526332 614054 709404 827638 921081 1228108 1241457 1359691 1655276 1842162 2482914 2719382 3684324 4079073 4965828 5438764 8158146 9517837 16316292 19035674 28553511 38071348 57107022 114214044