| Base | Representation |
|---|---|
| bin | 100110111010101110111111… |
| … | …0100010100000011100000000 |
| 3 | 1122220001211211021021210000000 |
| 4 | 1031311131332202200130000 |
| 5 | 324332113322222234224 |
| 6 | 3212021232420000000 |
| 7 | 132051041253331200 |
| oct | 11565357642403400 |
| 9 | 1586054737253000 |
| 10 | 342323901368064 |
| 11 | 9a090829a58220 |
| 12 | 324887b9b30000 |
| 13 | 1190200baa6985 |
| 14 | 60767cadc6400 |
| 15 | 298996c2240c9 |
| hex | 137577e8a0700 |
342323901368064 has 6912 divisors, whose sum is σ = 1472137374597120. Its totient is φ = 78219045273600.
The previous prime is 342323901368063. The next prime is 342323901368081. The reversal of 342323901368064 is 460863109323243.
342323901368064 is a `hidden beast` number, since 3 + 4 + 232 + 390 + 13 + 6 + 8 + 0 + 6 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (6912).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 342323901368064.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (342323901368063) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 7961020962027 + ... + 7961020962069.
It is an arithmetic number, because the mean of its divisors is an integer number (212982837760).
Almost surely, 2342323901368064 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 342323901368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736068687298560).
342323901368064 is an abundant number, since it is smaller than the sum of its proper divisors (1129813473229056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
342323901368064 is a wasteful number, since it uses less digits than its factorization.
342323901368064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 196 (or 157 counting only the distinct ones).
The product of its (nonzero) digits is 13436928, while the sum is 54.
The spelling of 342323901368064 in words is "three hundred forty-two trillion, three hundred twenty-three billion, nine hundred one million, three hundred sixty-eight thousand, sixty-four".
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