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40165271226 = 23682733311
BaseRepresentation
bin100101011010000010…
…010110011010111010
310211200012001012000000
4211122002112122322
51124224302134401
630241321053430
72621222113053
oct453202263272
9124605035000
1040165271226
1116041280833
12794b327276
133a3139a3a2
141d3050d72a
1510a1281186
hex95a0966ba

40165271226 has 56 divisors (see below), whose sum is σ = 90442479744. Its totient is φ = 13371833160.

The previous prime is 40165271219. The next prime is 40165271239. The reversal of 40165271226 is 62217256104.

It is a happy number.

40165271226 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 527 + 122 + 6 = 666.

It is a super-2 number, since 2×401652712262 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1189111 + ... + 1222421.

Almost surely, 240165271226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40165271226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45221239872).

40165271226 is an abundant number, since it is smaller than the sum of its proper divisors (50277208518).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40165271226 is an equidigital number, since it uses as much as digits as its factorization.

40165271226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34158 (or 34143 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

It can be divided in two parts, 401652 and 71226, that added together give a triangular number (472878 = T972).

The spelling of 40165271226 in words is "forty billion, one hundred sixty-five million, two hundred seventy-one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 827 1458 1654 2481 4962 7443 14886 22329 33311 44658 66622 66987 99933 133974 199866 200961 299799 401922 599598 602883 899397 1205766 1798794 2698191 5396382 8094573 16189146 24283719 27548197 48567438 55096394 82644591 165289182 247933773 495867546 743801319 1487602638 2231403957 4462807914 6694211871 13388423742 20082635613 40165271226