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40191133509 = 3241349312089
BaseRepresentation
bin100101011011100101…
…000000011101000101
310211201222201010101100
4211123211000131011
51124302412233014
630244043250313
72621654666232
oct453345003505
9124658633340
1040191133509
111605493551a
127957b19999
133a36853c07
141d33b22789
1510a368e009
hex95b940745

40191133509 has 24 divisors (see below), whose sum is σ = 59640399000. Its totient is φ = 26065589760.

The previous prime is 40191133483. The next prime is 40191133511. The reversal of 40191133509 is 90533119104.

40191133509 is a `hidden beast` number, since 4 + 0 + 19 + 1 + 133 + 509 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18948609 + 40172184900 = 4353^2 + 200430^2 .

It is not a de Polignac number, because 40191133509 - 29 = 40191132997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40191133519) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27264 + ... + 284825.

It is an arithmetic number, because the mean of its divisors is an integer number (2485016625).

Almost surely, 240191133509 is an apocalyptic number.

It is an amenable number.

40191133509 is a deficient number, since it is larger than the sum of its proper divisors (19449265491).

40191133509 is a wasteful number, since it uses less digits than its factorization.

40191133509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312485 (or 312482 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 40191133509 in words is "forty billion, one hundred ninety-one million, one hundred thirty-three thousand, five hundred nine".

Divisors: 1 3 9 41 123 349 369 1047 3141 14309 42927 128781 312089 936267 2808801 12795649 38386947 108919061 115160841 326757183 980271549 4465681501 13397044503 40191133509