Search a number
-
+
114444704 = 251132687
BaseRepresentation
bin1101101001001…
…00100110100000
321222100101121202
412310210212200
5213244212304
615204540332
72556523013
oct664444640
9258311552
10114444704
1159668000
12323b16a8
131a93047a
14112b137a
15a0a981e
hex6d249a0

114444704 has 48 divisors (see below), whose sum is σ = 247919616. Its totient is φ = 52000960.

The previous prime is 114444703. The next prime is 114444721. The reversal of 114444704 is 407444411.

It is not an unprimeable number, because it can be changed into a prime (114444703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41249 + ... + 43935.

It is an arithmetic number, because the mean of its divisors is an integer number (5164992).

Almost surely, 2114444704 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 114444704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123959808).

114444704 is an abundant number, since it is smaller than the sum of its proper divisors (133474912).

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

114444704 is an equidigital number, since it uses as much as digits as its factorization.

114444704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The square root of 114444704 is about 10697.8831550919. The cubic root of 114444704 is about 485.5104329595.

It can be divided in two parts, 114444 and 704, that multiplied together give a square (80568576 = 89762).

The spelling of 114444704 in words is "one hundred fourteen million, four hundred forty-four thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1331 1936 2662 2687 3872 5324 5374 10648 10748 21296 21496 29557 42592 42992 59114 85984 118228 236456 325127 472912 650254 945824 1300508 2601016 3576397 5202032 7152794 10404064 14305588 28611176 57222352 114444704