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114406624220 = 22575931378061
BaseRepresentation
bin110101010001100101…
…0101000101111011100
3101221022012020200101112
41222203022220233130
53333301043433340
6124320243001152
711160050155250
oct1524312505734
9357265220345
10114406624220
1144579614109
121a20a6691b8
13aa3343c065
145774544260
152e98dde065
hex1aa32a8bdc

114406624220 has 48 divisors (see below), whose sum is σ = 275039126208. Its totient is φ = 39158952960.

The previous prime is 114406624207. The next prime is 114406624253. The reversal of 114406624220 is 22426604411.

114406624220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 606011 + ... + 772050.

It is an arithmetic number, because the mean of its divisors is an integer number (5729981796).

Almost surely, 2114406624220 is an apocalyptic number.

114406624220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114406624220 is an abundant number, since it is smaller than the sum of its proper divisors (160632501988).

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

114406624220 is a wasteful number, since it uses less digits than its factorization.

114406624220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378670 (or 1378668 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 114406624220 in words is "one hundred fourteen billion, four hundred six million, six hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 593 1186 2372 2965 4151 5930 8302 11860 16604 20755 41510 83020 1378061 2756122 5512244 6890305 9646427 13780610 19292854 27561220 38585708 48232135 96464270 192928540 817190173 1634380346 3268760692 4085950865 5720331211 8171901730 11440662422 16343803460 22881324844 28601656055 57203312110 114406624220