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114006333431 = 1733132105419
BaseRepresentation
bin110101000101101001…
…1101001011111110111
3101220021022000210122202
41222023103221133313
53331441110132211
6124212423215115
711144116562564
oct1521323513767
9356238023582
10114006333431
114439366a781
121a1185a749b
13a99b5282c3
14573730586b
152e73bbe53b
hex1a8b4e97f7

114006333431 has 8 divisors (see below), whose sum is σ = 115031727120. Its totient is φ = 112985151552.

The previous prime is 114006333421. The next prime is 114006333457. The reversal of 114006333431 is 134333600411.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 114006333431 - 222 = 114002139127 is a prime.

It is a super-2 number, since 2×1140063334312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114006333394 and 114006333403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114006333421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 998561 + ... + 1106858.

It is an arithmetic number, because the mean of its divisors is an integer number (14378965890).

Almost surely, 2114006333431 is an apocalyptic number.

114006333431 is a deficient number, since it is larger than the sum of its proper divisors (1025393689).

114006333431 is a wasteful number, since it uses less digits than its factorization.

114006333431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105905.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 114006333431 its reverse (134333600411), we get a palindrome (248339933842).

The spelling of 114006333431 in words is "one hundred fourteen billion, six million, three hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 173 313 54149 2105419 364237487 658996147 114006333431