Search a number
-
+
114312110533431 = 3439599144903757
BaseRepresentation
bin11001111111011101011100…
…101111011110101100110111
3112222202010112112021100111120
4121333131130233132230313
5104440342200244032211
61043042131505435023
733035530443345066
oct3177353457365467
9488663475240446
10114312110533431
1133472548316078
12109a255263ba73
134ba277cc213b5
142032a429741dd
15d337c1182d06
hex67f75cbdeb37

114312110533431 has 16 divisors (see below), whose sum is σ = 153018368448000. Its totient is φ = 75907542773088.

The previous prime is 114312110533417. The next prime is 114312110533457. The reversal of 114312110533431 is 134335011213411.

It is a happy number.

It is not a de Polignac number, because 114312110533431 - 25 = 114312110533399 is a prime.

It is a super-3 number, since 3×1143121105334313 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 114312110533392 and 114312110533401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114312110533031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71662996 + ... + 73240761.

It is an arithmetic number, because the mean of its divisors is an integer number (9563648028000).

Almost surely, 2114312110533431 is an apocalyptic number.

114312110533431 is a deficient number, since it is larger than the sum of its proper divisors (38706257914569).

114312110533431 is a wasteful number, since it uses less digits than its factorization.

114312110533431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144904798.

The product of its (nonzero) digits is 12960, while the sum is 33.

Adding to 114312110533431 its reverse (134335011213411), we get a palindrome (248647121746842).

The spelling of 114312110533431 in words is "one hundred fourteen trillion, three hundred twelve billion, one hundred ten million, five hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 3 439 599 1317 1797 262961 788883 144903757 434711271 63612749323 86797350443 190838247969 260392051329 38104036844477 114312110533431