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40163220424161 = 3225740153432449
BaseRepresentation
bin10010010000111001110100…
…11111001000010111100001
312021012120021212221122202100
421020130322133020113201
520231013233412033121
6221230421224241013
711313461020543452
oct1110347237102741
9167176255848670
1040163220424161
11118851429705aa
124607a99310169
1319544b5aa43c3
149cbca59b3129
15499b0e28e026
hex24873a7c85e1

40163220424161 has 24 divisors (see below), whose sum is σ = 58240859344200. Its totient is φ = 26670569619456.

The previous prime is 40163220424157. The next prime is 40163220424211. The reversal of 40163220424161 is 16142402236104.

40163220424161 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 3 + 220 + 424 + 1 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10863246851136 + 29299973573025 = 3295944^2 + 5412945^2 .

It is not a de Polignac number, because 40163220424161 - 22 = 40163220424157 is a prime.

It is a super-2 number, since 2×401632204241612 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40163220424661) 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, 92657665 + ... + 93090113.

It is an arithmetic number, because the mean of its divisors is an integer number (2426702472675).

Almost surely, 240163220424161 is an apocalyptic number.

It is an amenable number.

40163220424161 is a deficient number, since it is larger than the sum of its proper divisors (18077638920039).

40163220424161 is a wasteful number, since it uses less digits than its factorization.

40163220424161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472865 (or 472862 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 40163220424161 in words is "forty trillion, one hundred sixty-three billion, two hundred twenty million, four hundred twenty-four thousand, one hundred sixty-one".

Divisors: 1 3 9 257 771 2313 40153 120459 361377 432449 1297347 3892041 10319321 30957963 92873889 111139393 333418179 1000254537 17364124697 52092374091 156277122273 4462580047129 13387740141387 40163220424161