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114559233156 = 223219229692
BaseRepresentation
bin110101010110001000…
…0110010110010000100
3101221200211102000111100
41222230100302302010
53334104130430111
6124343333540100
711163612262254
oct1525420626204
9357624360440
10114559233156
11446477784a5
121a2517a4630
13aa58c425c4
14578a90b964
152ea74d6756
hex1aac432c84

114559233156 has 81 divisors (see below), whose sum is σ = 305726485701. Its totient is φ = 36164415168.

The previous prime is 114559233143. The next prime is 114559233161. The reversal of 114559233156 is 651332955411.

The square root of 114559233156 is 338466.

It is a perfect power (a square), and thus also a powerful number.

114559233156 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 592 + 3 + 3 + 1 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 693479556 + 113865753600 = 26334^2 + 337440^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38583640 + ... + 38586608.

Almost surely, 2114559233156 is an apocalyptic number.

114559233156 is the 338466-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114559233156

114559233156 is an abundant number, since it is smaller than the sum of its proper divisors (191167252545).

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

114559233156 is an equidigital number, since it uses as much as digits as its factorization.

114559233156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5986 (or 2993 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The spelling of 114559233156 in words is "one hundred fourteen billion, five hundred fifty-nine million, two hundred thirty-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 2969 3249 4332 5938 6498 8907 11876 12996 17814 26721 35628 53442 56411 106884 112822 169233 225644 338466 507699 676932 1015398 1071809 2030796 2143618 3215427 4287236 6430854 8814961 9646281 12861708 17629922 19292562 26444883 35259844 38585124 52889766 79334649 105779532 158669298 167484259 317338596 334968518 502452777 669937036 1004905554 1507358331 2009811108 3014716662 3182200921 6029433324 6364401842 9546602763 12728803684 19093205526 28639808289 38186411052 57279616578 114559233156