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334123312132441 = 13314120221709867
BaseRepresentation
bin100101111111000100010010…
…1010101001011000101011001
31121211000212200002212102022201
41023332020211111023011121
5322243234020401214231
63142342044112250201
7130243420103050546
oct11376104525130531
91554025602772281
10334123312132441
11975099a01383a7
1231583405240961
1311458901a96520
145c719242c1bcd
1528964aa246161
hex12fe22554b159

334123312132441 has 16 divisors (see below), whose sum is σ = 380491692876288. Its totient is φ = 291192622070400.

The previous prime is 334123312132427. The next prime is 334123312132447. The reversal of 334123312132441 is 144231213321433.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 334123312132441 - 231 = 334121164648793 is a prime.

It is a super-2 number, since 2×3341233121324412 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 334123312132441.

It is not an unprimeable number, because it can be changed into a prime (334123312132447) 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, 10110838411 + ... + 10110871456.

It is an arithmetic number, because the mean of its divisors is an integer number (23780730804768).

Almost surely, 2334123312132441 is an apocalyptic number.

334123312132441 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

334123312132441 is a deficient number, since it is larger than the sum of its proper divisors (46368380743847).

334123312132441 is a wasteful number, since it uses less digits than its factorization.

334123312132441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20221709952.

The product of its digits is 124416, while the sum is 37.

Adding to 334123312132441 its reverse (144231213321433), we get a palindrome (478354525453874).

The spelling of 334123312132441 in words is "three hundred thirty-four trillion, one hundred twenty-three billion, three hundred twelve million, one hundred thirty-two thousand, four hundred forty-one".

Divisors: 1 13 31 41 403 533 1271 16523 20221709867 262882228271 626873005877 829090104547 8149349076401 10778171359111 25701793240957 334123312132441