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114421664 = 257272973
BaseRepresentation
bin1101101000111…
…10111110100000
321222022020000102
412310132332200
5213242443124
615204241532
72556365600
oct664367640
9258266012
10114421664
1159651765
12323a02a8
131a922b36
14112a6c00
15a0a2aae
hex6d1efa0

114421664 has 36 divisors (see below), whose sum is σ = 262049634. Its totient is φ = 49037184.

The previous prime is 114421661. The next prime is 114421687. The reversal of 114421664 is 466124411.

It can be written as a sum of positive squares in only one way, i.e., 102171664 + 12250000 = 10108^2 + 3500^2 .

It is not an unprimeable number, because it can be changed into a prime (114421661) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34919 + ... + 38054.

Almost surely, 2114421664 is an apocalyptic number.

114421664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114421664 is an abundant number, since it is smaller than the sum of its proper divisors (147627970).

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

114421664 is an equidigital number, since it uses as much as digits as its factorization.

114421664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72997 (or 72982 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 114421664 is about 10696.8062523353. The cubic root of 114421664 is about 485.4778497971.

The spelling of 114421664 in words is "one hundred fourteen million, four hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 72973 145946 291892 510811 583784 1021622 1167568 2043244 2335136 3575677 4086488 7151354 8172976 14302708 16345952 28605416 57210832 114421664