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114031312420 = 22517335386213
BaseRepresentation
bin110101000110011001…
…0111011111000100100
3101220100001000212101111
41222030302323320210
53332014003444140
6124215114434404
711144542106614
oct1521462737044
9356301025344
10114031312420
11443a6780873
121a124a32a04
13a9a3762a7c
14573a768a44
152e75ea57ea
hex1a8ccbbe24

114031312420 has 24 divisors (see below), whose sum is σ = 253551977784. Its totient is φ = 42929435136.

The previous prime is 114031312411. The next prime is 114031312453. The reversal of 114031312420 is 24213130411.

It can be written as a sum of positive squares in 4 ways, for example, as 4884332544 + 109146979876 = 69888^2 + 330374^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114031312391 and 114031312400.

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 7 ways as a sum of consecutive naturals, for example, 167692767 + ... + 167693446.

It is an arithmetic number, because the mean of its divisors is an integer number (10564665741).

Almost surely, 2114031312420 is an apocalyptic number.

114031312420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114031312420 is an abundant number, since it is smaller than the sum of its proper divisors (139520665364).

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

114031312420 is a wasteful number, since it uses less digits than its factorization.

114031312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335386239 (or 335386237 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 114031312420 its reverse (24213130411), we get a palindrome (138244442831).

The spelling of 114031312420 in words is "one hundred fourteen billion, thirty-one million, three hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 335386213 670772426 1341544852 1676931065 3353862130 5701565621 6707724260 11403131242 22806262484 28507828105 57015656210 114031312420