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12340473435801 = 32724094
BaseRepresentation
bin1011001110010011110110…
…0010010001011010011001
31121200201220210220200212100
42303210331202101122121
53104141242144421201
642125045113234013
72412366302324100
oct263447542213231
947621823820770
1012340473435801
113a286245a24a5
1214737bb702909
136b69176b4974
143093d412b037
1516600d933886
hexb393d891699

12340473435801 has 45 divisors (see below), whose sum is σ = 20786175268521. Its totient is φ = 7034457788064.

The previous prime is 12340473435799. The next prime is 12340473435809. The reversal of 12340473435801 is 10853437404321.

It is a happy number.

The square root of 12340473435801 is 3512901.

It is a perfect power (a square), and thus also a powerful number.

12340473435801 is a `hidden beast` number, since 1 + 2 + 34 + 0 + 4 + 7 + 34 + 3 + 580 + 1 = 666.

12340473435801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8457051426201 + 3883422009600 = 2908101^2 + 1970640^2 .

It is not a de Polignac number, because 12340473435801 - 21 = 12340473435799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12340473435809) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 30172306485 + ... + 30172306893.

Almost surely, 212340473435801 is an apocalyptic number.

12340473435801 is the 3512901-st square number.

12340473435801 is the 1756451-st centered octagonal number.

It is an amenable number.

12340473435801 is a deficient number, since it is larger than the sum of its proper divisors (8445701832720).

12340473435801 is an frugal number, since it uses more digits than its factorization.

12340473435801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 12340473435801 in words is "twelve trillion, three hundred forty billion, four hundred seventy-three million, four hundred thirty-five thousand, eight hundred one".

Divisors: 1 3 7 9 21 49 63 147 409 441 1227 2863 3681 8589 20041 25767 60123 167281 180369 501843 1170967 1505529 3512901 8196769 10538703 24590307 68417929 73770921 205253787 478925503 615761361 1436776509 3352478521 4310329527 10057435563 27982932961 30172306689 83948798883 195880530727 251846396649 587641592181 1371163715089 1762924776543 4113491145267 12340473435801