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10142643404223 = 32111012931134607
BaseRepresentation
bin1001001110011000010010…
…1010000011110110111111
31022220121221020221222110200
42103212010222003312333
52312134113202413343
633323244400134543
72064532105311411
oct223460452036677
938817836858420
1010142643404223
11326051a868950
121179866907453
135875a7579615
14270c9985a9b1
15128c77c6a4d3
hex93984a83dbf

10142643404223 has 48 divisors (see below), whose sum is σ = 16141605322752. Its totient is φ = 6085811160000.

The previous prime is 10142643404191. The next prime is 10142643404261. The reversal of 10142643404223 is 32240434624101.

10142643404223 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 643 + 4 + 0 + 4 + 2 + 2 + 3 = 666.

It is not a de Polignac number, because 10142643404223 - 25 = 10142643404191 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142643414223) 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 47 ways as a sum of consecutive naturals, for example, 293063386 + ... + 293097992.

It is an arithmetic number, because the mean of its divisors is an integer number (336283444224).

Almost surely, 210142643404223 is an apocalyptic number.

10142643404223 is a deficient number, since it is larger than the sum of its proper divisors (5998961918529).

10142643404223 is a wasteful number, since it uses less digits than its factorization.

10142643404223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64036 (or 64033 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 10142643404223 in words is "ten trillion, one hundred forty-two billion, six hundred forty-three million, four hundred four thousand, two hundred twenty-three".

Divisors: 1 3 9 11 33 99 101 303 909 1111 3333 9999 29311 34607 87933 103821 263799 311463 322421 380677 967263 1142031 2901789 2960411 3426093 3495307 8881233 10485921 26643699 31457763 32564521 38448377 97693563 115345131 293080689 346035393 1014365777 3043097331 9129291993 11158023547 33474070641 100422211923 102450943477 307352830431 922058491293 1126960378247 3380881134741 10142643404223