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331414331111334 = 23283921945062317
BaseRepresentation
bin100101101011010110110100…
…1011110101011011110100110
31121110102220022120011000202100
41023112231221132223132212
5321414343022231030314
63132505350351352530
7126543616035232122
oct11326555136533646
91543386276130670
10331414331111334
1196665034a5a929
1231206398b22746
13112c031152b663
145bba779856582
15284aca99d2c09
hex12d6b697ab7a6

331414331111334 has 24 divisors (see below), whose sum is σ = 718920241537680. Its totient is φ = 110339773324848.

The previous prime is 331414331111291. The next prime is 331414331111393. The reversal of 331414331111334 is 433111133414133.

331414331111334 is a `hidden beast` number, since 3 + 3 + 1 + 4 + 1 + 4 + 3 + 311 + 1 + 1 + 334 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10972516057 + ... + 10972546260.

It is an arithmetic number, because the mean of its divisors is an integer number (29955010064070).

Almost surely, 2331414331111334 is an apocalyptic number.

331414331111334 is an abundant number, since it is smaller than the sum of its proper divisors (387505910426346).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331414331111334 is a wasteful number, since it uses less digits than its factorization.

331414331111334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21945063164 (or 21945063161 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

Adding to 331414331111334 its reverse (433111133414133), we get a palindrome (764525464525467).

The spelling of 331414331111334 in words is "three hundred thirty-one trillion, four hundred fourteen billion, three hundred thirty-one million, one hundred eleven thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 839 1678 2517 5034 7551 15102 21945062317 43890124634 65835186951 131670373902 197505560853 395011121706 18411907283963 36823814567926 55235721851889 110471443703778 165707165555667 331414331111334