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114023252000 = 255374072259
BaseRepresentation
bin110101000110001010…
…0001100000000100000
3101220022110212100120102
41222030110030000200
53332004423031000
6124214230001532
711144413436060
oct1521424140040
9356273770512
10114023252000
11443a2175969
121a1221a62a8
13a9a1b9cca8
14573966b3a0
152e754123d5
hex1a8c50c020

114023252000 has 96 divisors (see below), whose sum is σ = 320177370240. Its totient is φ = 39093676800.

The previous prime is 114023251997. The next prime is 114023252011. The reversal of 114023252000 is 252320411.

114023252000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2008130 + ... + 2064129.

It is an arithmetic number, because the mean of its divisors is an integer number (3335180940).

Almost surely, 2114023252000 is an apocalyptic number.

114023252000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114023252000 is an abundant number, since it is smaller than the sum of its proper divisors (206154118240).

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

114023252000 is an equidigital number, since it uses as much as digits as its factorization.

114023252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4072291 (or 4072273 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 114023252000 its reverse (252320411), we get a palindrome (114275572411).

The spelling of 114023252000 in words is "one hundred fourteen billion, twenty-three million, two hundred fifty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 14000 28000 4072259 8144518 16289036 20361295 28505813 32578072 40722590 57011626 65156144 81445180 101806475 114023252 130312288 142529065 162890360 203612950 228046504 285058130 325780720 407225900 456093008 509032375 570116260 651561440 712645325 814451800 912186016 1018064750 1140232520 1425290650 1628903600 2036129500 2280465040 2850581300 3257807200 3563226625 4072259000 4560930080 5701162600 7126453250 8144518000 11402325200 14252906500 16289036000 22804650400 28505813000 57011626000 114023252000