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40206103236 = 22321394191297
BaseRepresentation
bin100101011100011110…
…000111001011000100
310211210000212122222200
4211130132013023010
51124320230300421
630245340154500
72622226144605
oct453436071304
9124700778880
1040206103236
111606232a4a2
127960b38a30
133a39995840
141d35adbdac
1510a4b49726
hex95c7872c4

40206103236 has 72 divisors (see below), whose sum is σ = 109567460184. Its totient is φ = 12357826560.

The previous prime is 40206103229. The next prime is 40206103247. The reversal of 40206103236 is 63230160204.

40206103236 is a `hidden beast` number, since 4 + 0 + 20 + 610 + 3 + 23 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2591828100 + 37614275136 = 50910^2 + 193944^2 .

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 23 ways as a sum of consecutive naturals, for example, 394740 + ... + 486036.

Almost surely, 240206103236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40206103236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54783730092).

40206103236 is an abundant number, since it is smaller than the sum of its proper divisors (69361356948).

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

40206103236 is a wasteful number, since it uses less digits than its factorization.

40206103236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92261 (or 92256 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 40206103236 in words is "forty billion, two hundred six million, one hundred three thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 941 1882 2823 3764 5646 8469 11292 12233 16938 24466 33876 36699 48932 73398 91297 110097 146796 182594 220194 273891 365188 440388 547782 821673 1095564 1186861 1643346 2373722 3286692 3560583 4747444 7121166 10681749 14242332 21363498 42726996 85910477 171820954 257731431 343641908 515462862 773194293 1030925724 1116836201 1546388586 2233672402 3092777172 3350508603 4467344804 6701017206 10051525809 13402034412 20103051618 40206103236