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114414132 = 22377971709
BaseRepresentation
bin1101101000111…
…01001000110100
321222021211200110
412310131020310
5213242223012
615204143020
72556334620
oct664351064
9258254613
10114414132
1159647038
1232397a70
131a91c591
14112a4180
15a0a073c
hex6d1d234

114414132 has 48 divisors (see below), whose sum is σ = 305665920. Its totient is φ = 32629632.

The previous prime is 114414109. The next prime is 114414133. The reversal of 114414132 is 231414411.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 114414099 and 114414108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114414133) 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 15 ways as a sum of consecutive naturals, for example, 66094 + ... + 67802.

It is an arithmetic number, because the mean of its divisors is an integer number (6368040).

Almost surely, 2114414132 is an apocalyptic number.

114414132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114414132 is an abundant number, since it is smaller than the sum of its proper divisors (191251788).

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

114414132 is a wasteful number, since it uses less digits than its factorization.

114414132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520 (or 2518 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 114414132 is about 10696.4541788389. The cubic root of 114414132 is about 485.4671970959.

Adding to 114414132 its reverse (231414411), we get a palindrome (345828543).

The spelling of 114414132 in words is "one hundred fourteen million, four hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 797 1594 1709 2391 3188 3418 4782 5127 5579 6836 9564 10254 11158 11963 16737 20508 22316 23926 33474 35889 47852 66948 71778 143556 1362073 2724146 4086219 5448292 8172438 9534511 16344876 19069022 28603533 38138044 57207066 114414132