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114040123020 = 22335211185413
BaseRepresentation
bin110101000110101010…
…0100010111010001100
3101220100122121111021000
41222031110202322030
53332023232414040
6124220031340300
711145010023525
oct1521524427214
9356318544230
10114040123020
114440074935a
121a127981690
13a9a5529145
14573b9bd84c
152e76b46130
hex1a8d522e8c

114040123020 has 48 divisors (see below), whose sum is σ = 354791495520. Its totient is φ = 30410699328.

The previous prime is 114040122983. The next prime is 114040123031. The reversal of 114040123020 is 20321040411.

114040123020 is a `hidden beast` number, since 1 + 14 + 0 + 401 + 230 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 114040122984 and 114040123002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105592167 + ... + 105593246.

It is an arithmetic number, because the mean of its divisors is an integer number (7391489490).

Almost surely, 2114040123020 is an apocalyptic number.

114040123020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114040123020 is an abundant number, since it is smaller than the sum of its proper divisors (240751372500).

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

114040123020 is a wasteful number, since it uses less digits than its factorization.

114040123020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211185431 (or 211185423 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 114040123020 its reverse (20321040411), we get a palindrome (134361163431).

The spelling of 114040123020 in words is "one hundred fourteen billion, forty million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 211185413 422370826 633556239 844741652 1055927065 1267112478 1900668717 2111854130 2534224956 3167781195 3801337434 4223708260 5702006151 6335562390 7602674868 9503343585 11404012302 12671124780 19006687170 22808024604 28510030755 38013374340 57020061510 114040123020