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114253866450 = 23252253897481
BaseRepresentation
bin110101001101000001…
…1111010010111010010
3101220220112210210010100
41222122003322113102
53332442442211300
6124253144513230
711153213561313
oct1523203722722
9356815723110
10114253866450
1144500368a19
121a18747b816
13aa0a8b5b49
14575c13c60a
152e8a7b7700
hex1a9a0fa5d2

114253866450 has 36 divisors (see below), whose sum is σ = 306962055738. Its totient is φ = 30467697600.

The previous prime is 114253866443. The next prime is 114253866451. The reversal of 114253866450 is 54668352411.

114253866450 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 538 + 6 + 64 + 50 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 43526059641 + 70727806809 = 208629^2 + 265947^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 114253866396 and 114253866405.

It is not an unprimeable number, because it can be changed into a prime (114253866451) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 126948291 + ... + 126949190.

Almost surely, 2114253866450 is an apocalyptic number.

114253866450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114253866450 is an abundant number, since it is smaller than the sum of its proper divisors (192708189288).

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

114253866450 is a wasteful number, since it uses less digits than its factorization.

114253866450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253897499 (or 253897491 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 114253866450 in words is "one hundred fourteen billion, two hundred fifty-three million, eight hundred sixty-six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 253897481 507794962 761692443 1269487405 1523384886 2285077329 2538974810 3808462215 4570154658 6347437025 7616924430 11425386645 12694874050 19042311075 22850773290 38084622150 57126933225 114253866450