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345431410635456 = 26323152354076841
BaseRepresentation
bin100111010001010110000010…
…0100001100111001011000000
31200022001220211221012201000100
41032202230010201213023000
5330234022012110313311
63222400555504122400
7132521411242305525
oct11642540441471300
91608056757181010
10345431410635456
11a0079702a1a802
12328aab08606400
1311a99071a9a5a2
146142d8038514c
1529e06e5065a56
hex13a2b048672c0

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".