Search a number
-
+
40101871668177 = 31110911113848059
BaseRepresentation
bin10010001111000111100011…
…10100001100101111010001
312020222200221101102221121210
421013203301310030233101
520224012113121340202
6221142313455410333
711306156522661534
oct1107436164145721
9166880841387553
1040101871668177
1111861121115180
1245b80178239a9
13194b789a9b167
149c8d25d4aa1b
1549821d419c6c
hex2478f1d0cbd1

40101871668177 has 16 divisors (see below), whose sum is σ = 58383459912960. Its totient is φ = 24281887664400.

The previous prime is 40101871668139. The next prime is 40101871668223. The reversal of 40101871668177 is 77186617810104.

It is a happy number.

40101871668177 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40101871668177 - 26 = 40101871668113 is a prime.

It is a super-2 number, since 2×401018716681772 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40101871669177) 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 15 ways as a sum of consecutive naturals, for example, 556888027 + ... + 556960032.

It is an arithmetic number, because the mean of its divisors is an integer number (3648966244560).

Almost surely, 240101871668177 is an apocalyptic number.

It is an amenable number.

40101871668177 is a deficient number, since it is larger than the sum of its proper divisors (18281588244783).

40101871668177 is a wasteful number, since it uses less digits than its factorization.

40101871668177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113849164.

The product of its (nonzero) digits is 3161088, while the sum is 57.

The spelling of 40101871668177 in words is "forty trillion, one hundred one billion, eight hundred seventy-one million, six hundred sixty-eight thousand, one hundred seventy-seven".

Divisors: 1 3 11 33 1091 3273 12001 36003 1113848059 3341544177 12252328649 36756985947 1215208232369 3645624697107 13367290556059 40101871668177