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334111314042 = 232112027832477
BaseRepresentation
bin1001101110010101001…
…01100001000001111010
31011221101210101022201200
410313022211201001322
520433224444022132
6413253312555030
733065406211452
oct4671245410172
91157353338650
10334111314042
11119772143430
1254905252a76
1325677bba8bc
14122575d8d62
158a571e9d7c
hex4dca96107a

334111314042 has 48 divisors (see below), whose sum is σ = 790108199712. Its totient is φ = 101195782560.

The previous prime is 334111314029. The next prime is 334111314049. The reversal of 334111314042 is 240413111433.

334111314042 is a `hidden beast` number, since 3 + 341 + 1 + 1 + 314 + 0 + 4 + 2 = 666.

334111314042 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3341113140422 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334111313997 and 334111314015.

It is not an unprimeable number, because it can be changed into a prime (334111314049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14893 + ... + 817584.

It is an arithmetic number, because the mean of its divisors is an integer number (16460587494).

Almost surely, 2334111314042 is an apocalyptic number.

334111314042 is an abundant number, since it is smaller than the sum of its proper divisors (455996885670).

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

334111314042 is a wasteful number, since it uses less digits than its factorization.

334111314042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834523 (or 834520 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 334111314042 its reverse (240413111433), we get a palindrome (574524425475).

The spelling of 334111314042 in words is "three hundred thirty-four billion, one hundred eleven million, three hundred fourteen thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 2027 4054 6081 12162 18243 22297 36486 44594 66891 133782 200673 401346 832477 1664954 2497431 4994862 7492293 9157247 14984586 18314494 27471741 54943482 82415223 164830446 1687430879 3374861758 5062292637 10124585274 15186877911 18561739669 30373755822 37123479338 55685219007 111370438014 167055657021 334111314042