Search a number
-
+
114414444 = 22341811951
BaseRepresentation
bin1101101000111…
…01001101101100
321222021212010000
412310131031230
5213242230234
615204144300
72556335544
oct664351554
9258255100
10114414444
11596472a1
1232398090
131a91c771
14112a4324
15a0a0899
hex6d1d36c

114414444 has 60 divisors (see below), whose sum is σ = 300908608. Its totient is φ = 37908000.

The previous prime is 114414413. The next prime is 114414451. The reversal of 114414444 is 444414411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57669 + ... + 59619.

Almost surely, 2114414444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114414444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150454304).

114414444 is an abundant number, since it is smaller than the sum of its proper divisors (186494164).

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

114414444 is a wasteful number, since it uses less digits than its factorization.

114414444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2137 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 114414444 is about 10696.4687631012. The cubic root of 114414444 is about 485.4676383748.

Adding to 114414444 its reverse (444414411), we get a palindrome (558828855).

The spelling of 114414444 in words is "one hundred fourteen million, four hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 181 324 362 543 724 1086 1629 1951 2172 3258 3902 4887 5853 6516 7804 9774 11706 14661 17559 19548 23412 29322 35118 52677 58644 70236 105354 158031 210708 316062 353131 632124 706262 1059393 1412524 2118786 3178179 4237572 6356358 9534537 12712716 19069074 28603611 38138148 57207222 114414444