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10344014410023 = 327233704681137
BaseRepresentation
bin1001011010000110011101…
…0011011111000100100111
31100121212201011000222100200
42112201213103133010213
52323434020142110043
633555550303441543
72115221214522030
oct226414723370447
940555634028320
1010344014410023
113328965514a98
1211b08a55b62b3
135a0589935018
1427a91da63a87
1512e1117587d3
hex968674df127

10344014410023 has 24 divisors (see below), whose sum is σ = 17149120174368. Its totient is φ = 5885496847872.

The previous prime is 10344014410021. The next prime is 10344014410033. The reversal of 10344014410023 is 32001441044301.

10344014410023 is a `hidden beast` number, since 103 + 440 + 14 + 4 + 100 + 2 + 3 = 666.

It is not a de Polignac number, because 10344014410023 - 21 = 10344014410021 is a prime.

It is a super-2 number, since 2×103440144100232 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344014410021) 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 23 ways as a sum of consecutive naturals, for example, 352325890 + ... + 352355247.

It is an arithmetic number, because the mean of its divisors is an integer number (714546673932).

Almost surely, 210344014410023 is an apocalyptic number.

10344014410023 is a deficient number, since it is larger than the sum of its proper divisors (6805105764345).

10344014410023 is a wasteful number, since it uses less digits than its factorization.

10344014410023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704681383 (or 704681380 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10344014410023 its reverse (32001441044301), we get a palindrome (42345455454324).

The spelling of 10344014410023 in words is "ten trillion, three hundred forty-four billion, fourteen million, four hundred ten thousand, twenty-three".

Divisors: 1 3 7 9 21 63 233 699 1631 2097 4893 14679 704681137 2114043411 4932767959 6342130233 14798303877 44394911631 164190704921 492572114763 1149334934447 1477716344289 3448004803341 10344014410023