Base | Representation |
---|---|
bin | 1001111101111100010… |
… | …11000000000001101000 |
3 | 1012202000220221121201000 |
4 | 10332332023000001220 |
5 | 21102411200033422 |
6 | 421201124555000 |
7 | 33513203135445 |
oct | 4767613000150 |
9 | 1182026847630 |
10 | 342492971112 |
11 | 122283398446 |
12 | 56464252a60 |
13 | 263b251c1b6 |
14 | 128108509cc |
15 | 8d97e83cac |
hex | 4fbe2c0068 |
342492971112 has 320 divisors, whose sum is σ = 1049865552000. Its totient is φ = 103453254432.
The previous prime is 342492971101. The next prime is 342492971153. The reversal of 342492971112 is 211179294243.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
342492971112 is a `hidden beast` number, since 3 + 4 + 249 + 297 + 1 + 112 = 666.
It is a super-2 number, since 2×3424929711122 (a number of 24 digits) contains 22 as substring.
It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 342492971112 = 8743 + 69923 = 39333 + 65553.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14890998733 + ... + 14890998755.
It is an arithmetic number, because the mean of its divisors is an integer number (3280829850).
Almost surely, 2342492971112 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 342492971112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524932776000).
342492971112 is an abundant number, since it is smaller than the sum of its proper divisors (707372580888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
342492971112 is an frugal number, since it uses more digits than its factorization.
342492971112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 160 (or 47 counting only the distinct ones).
The product of its digits is 217728, while the sum is 45.
The spelling of 342492971112 in words is "three hundred forty-two billion, four hundred ninety-two million, nine hundred seventy-one thousand, one hundred twelve".
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