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314334201305233 = 4133004723229079
BaseRepresentation
bin100011101111000101010001…
…0011010001101100010010001
31112012222001111221120220001101
41013132022202122031202101
5312200022421013231413
63032311045533104401
7123131616352310254
oct10736124232154221
91465861457526041
10314334201305233
119117a427a6321a
122b3080a8028101
1310651784a94585
145789bdc40709b
1526518497d0edd
hex11de2a268d891

314334201305233 has 8 divisors (see below), whose sum is σ = 322001878625280. Its totient is φ = 306666571103520.

The previous prime is 314334201305221. The next prime is 314334201305237. The reversal of 314334201305233 is 332503102433413.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314334201305233 is a prime.

It is a super-3 number, since 3×3143342013052333 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 314334201305192 and 314334201305201.

It is not an unprimeable number, because it can be changed into a prime (314334201305237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1917388 + ... + 25146466.

It is an arithmetic number, because the mean of its divisors is an integer number (40250234828160).

Almost surely, 2314334201305233 is an apocalyptic number.

It is an amenable number.

314334201305233 is a deficient number, since it is larger than the sum of its proper divisors (7667677320047).

314334201305233 is a wasteful number, since it uses less digits than its factorization.

314334201305233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23559167.

The product of its (nonzero) digits is 233280, while the sum is 37.

Adding to 314334201305233 its reverse (332503102433413), we get a palindrome (646837303738646).

The spelling of 314334201305233 in words is "three hundred fourteen trillion, three hundred thirty-four billion, two hundred one million, three hundred five thousand, two hundred thirty-three".

Divisors: 1 41 330047 13531927 23229079 952392239 7666687836713 314334201305233