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114432444 = 22327264871
BaseRepresentation
bin1101101001000…
…01100110111100
321222022202210200
412310201212330
5213243314234
615204403500
72556442200
oct664414674
9258282720
10114432444
1159659875
12323a6590
131a927a09
14112aab00
15a0a5d99
hex6d219bc

114432444 has 54 divisors (see below), whose sum is σ = 336491064. Its totient is φ = 32694480.

The previous prime is 114432419. The next prime is 114432469. The reversal of 114432444 is 444234411.

It is an interprime number because it is at equal distance from previous prime (114432419) and next prime (114432469).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30672 + ... + 34199.

It is an arithmetic number, because the mean of its divisors is an integer number (6231316).

Almost surely, 2114432444 is an apocalyptic number.

114432444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114432444 is an abundant number, since it is smaller than the sum of its proper divisors (222058620).

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

114432444 is a wasteful number, since it uses less digits than its factorization.

114432444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64895 (or 64883 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 114432444 is about 10697.3101291867. The cubic root of 114432444 is about 485.4930954149.

Adding to 114432444 its reverse (444234411), we get a palindrome (558666855).

The spelling of 114432444 in words is "one hundred fourteen million, four hundred thirty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 64871 129742 194613 259484 389226 454097 583839 778452 908194 1167678 1362291 1816388 2335356 2724582 3178679 4086873 5449164 6357358 8173746 9536037 12714716 16347492 19072074 28608111 38144148 57216222 114432444