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114404040 = 23325317789
BaseRepresentation
bin1101101000110…
…10101011001000
321222021022211200
412310122223020
5213241412130
615204024200
72556263322
oct664325310
9258238750
10114404040
115963a4a3
1232392060
131a917aca
14112a0612
15a09c760
hex6d1aac8

114404040 has 48 divisors (see below), whose sum is σ = 371814300. Its totient is φ = 30507648.

The previous prime is 114404039. The next prime is 114404077. The reversal of 114404040 is 40404411.

It can be written as a sum of positive squares in 2 ways, for example, as 114190596 + 213444 = 10686^2 + 462^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 158535 + ... + 159254.

Almost surely, 2114404040 is an apocalyptic number.

114404040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114404040 is an abundant number, since it is smaller than the sum of its proper divisors (257410260).

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

114404040 is a wasteful number, since it uses less digits than its factorization.

114404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317806 (or 317799 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 114404040 is about 10695.9824233214. The cubic root of 114404040 is about 485.4529229879.

Adding to 114404040 its reverse (40404411), we get a palindrome (154808451).

The spelling of 114404040 in words is "one hundred fourteen million, four hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 317789 635578 953367 1271156 1588945 1906734 2542312 2860101 3177890 3813468 4766835 5720202 6355780 7626936 9533670 11440404 12711560 14300505 19067340 22880808 28601010 38134680 57202020 114404040