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40502770009 = 13211321372
BaseRepresentation
bin100101101110001001…
…110011100101011001
310212112201002220021221
4211232021303211121
51130422202120014
630335014532041
72632460602402
oct455611634531
9125481086257
1040502770009
11161a4837649
127a24367021
133a86297400
141d632849a9
1510c0beab24
hex96e273959

40502770009 has 27 divisors (see below), whose sum is σ = 44574935223. Its totient is φ = 36785828352.

The previous prime is 40502770001. The next prime is 40502770013. The reversal of 40502770009 is 90007720504.

The square root of 40502770009 is 201253.

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

It can be written as a sum of positive squares in 13 ways, for example, as 39348673225 + 1154096784 = 198365^2 + 33972^2 .

It is not a de Polignac number, because 40502770009 - 23 = 40502770001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40502770001) 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 26 ways as a sum of consecutive naturals, for example, 295640589 + ... + 295640725.

Almost surely, 240502770009 is an apocalyptic number.

40502770009 is the 201253-rd square number.

40502770009 is the 100627-th centered octagonal number.

It is an amenable number.

40502770009 is a deficient number, since it is larger than the sum of its proper divisors (4072165214).

40502770009 is an equidigital number, since it uses as much as digits as its factorization.

40502770009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The spelling of 40502770009 in words is "forty billion, five hundred two million, seven hundred seventy thousand, nine".

Divisors: 1 13 113 137 169 1469 1781 12769 15481 18769 19097 23153 165997 201253 243997 1749353 2120897 2157961 2616289 3171961 22741589 27571661 239661361 295640657 358431593 3115597693 40502770009