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114002416197 = 348291697753
BaseRepresentation
bin110101000101100010…
…0101101001001000101
3101220021000122210020000
41222023010231021011
53331434104304242
6124212203231513
711144041356225
oct1521304551105
9356230583200
10114002416197
114439143469a
121a117218599
13a99a786307
1457369a6085
152e73698a4c
hex1a8b12d245

114002416197 has 20 divisors (see below), whose sum is σ = 170505434220. Its totient is φ = 75909887424.

The previous prime is 114002416159. The next prime is 114002416247. The reversal of 114002416197 is 791614200411.

114002416197 is a `hidden beast` number, since 1 + 1 + 400 + 2 + 4 + 161 + 97 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87174924516 + 26827491681 = 295254^2 + 163791^2 .

It is not a de Polignac number, because 114002416197 - 27 = 114002416069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114002416597) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 781728 + ... + 916025.

It is an arithmetic number, because the mean of its divisors is an integer number (8525271711).

Almost surely, 2114002416197 is an apocalyptic number.

It is an amenable number.

114002416197 is a deficient number, since it is larger than the sum of its proper divisors (56503018023).

114002416197 is an equidigital number, since it uses as much as digits as its factorization.

114002416197 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698594 (or 1698585 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 114002416197 in words is "one hundred fourteen billion, two million, four hundred sixteen thousand, one hundred ninety-seven".

Divisors: 1 3 9 27 81 829 2487 7461 22383 67149 1697753 5093259 15279777 45839331 137517993 1407437237 4222311711 12666935133 38000805399 114002416197