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23410423334340 = 223257677186114747
BaseRepresentation
bin1010101001010101010011…
…11101111000010111000100
310001220000101122122101202200
411110222221331320113010
511032024021333144330
6121442333334034500
74634230054040610
oct524525175702704
9101800348571680
1023410423334340
117506339733509
12276111b4a8a30
13100a793a60a13
145ad0db796340
152a8e5b103a60
hex154aa9f785c4

23410423334340 has 288 divisors, whose sum is σ = 81325197967104. Its totient is φ = 5339816801280.

The previous prime is 23410423334323. The next prime is 23410423334387. The reversal of 23410423334340 is 4343332401432.

23410423334340 is a `hidden beast` number, since 2 + 3 + 41 + 0 + 4 + 233 + 343 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23410423334295 and 23410423334304.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1587462847 + ... + 1587477593.

It is an arithmetic number, because the mean of its divisors is an integer number (282379159608).

Almost surely, 223410423334340 is an apocalyptic number.

23410423334340 is a gapful number since it is divisible by the number (20) 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 23410423334340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40662598983552).

23410423334340 is an abundant number, since it is smaller than the sum of its proper divisors (57914774632764).

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

23410423334340 is a wasteful number, since it uses less digits than its factorization.

23410423334340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17307 (or 17302 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 23410423334340 its reverse (4343332401432), we get a palindrome (27753755735772).

The spelling of 23410423334340 in words is "twenty-three trillion, four hundred ten billion, four hundred twenty-three million, three hundred thirty-four thousand, three hundred forty".