Base | Representation |
---|---|
bin | 100111010001010110000010… |
… | …0100001100111001011000000 |
3 | 1200022001220211221012201000100 |
4 | 1032202230010201213023000 |
5 | 330234022012110313311 |
6 | 3222400555504122400 |
7 | 132521411242305525 |
oct | 11642540441471300 |
9 | 1608056757181010 |
10 | 345431410635456 |
11 | a0079702a1a802 |
12 | 328aab08606400 |
13 | 11a99071a9a5a2 |
14 | 6142d8038514c |
15 | 29e06e5065a56 |
hex | 13a2b048672c0 |
345431410635456 has 336 divisors, whose sum is σ = 1024349338574848. Its totient is φ = 111179605708800.
The previous prime is 345431410635449. The next prime is 345431410635457. The reversal of 345431410635456 is 654536014134543.
345431410635456 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 31 + 4 + 1 + 0 + 63 + 545 + 6 = 666.
It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (345431410635457) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50494282596 + ... + 50494289436.
Almost surely, 2345431410635456 is an apocalyptic number.
345431410635456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 345431410635456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512174669287424).
345431410635456 is an abundant number, since it is smaller than the sum of its proper divisors (678917927939392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
345431410635456 is a wasteful number, since it uses less digits than its factorization.
345431410635456 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12820 (or 12807 counting only the distinct ones).
The product of its (nonzero) digits is 31104000, while the sum is 54.
Adding to 345431410635456 its reverse (654536014134543), we get a palindrome (999967424769999).
The spelling of 345431410635456 in words is "three hundred forty-five trillion, four hundred thirty-one billion, four hundred ten million, six hundred thirty-five thousand, four hundred fifty-six".
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