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40090611287844 = 223213184334647301
BaseRepresentation
bin10010001110110010100101…
…01001010000011100100100
312020221121212122001100201100
421013121102221100130210
520223321032442202334
6221133212250400100
711305310502221415
oct1107312251203444
9166847778040640
1040090611287844
1111857372a03827
1245b59b4730030
13194a6b3c38410
149c857865b80c
15497caea95c99
hex247652a50724

40090611287844 has 72 divisors (see below), whose sum is σ = 109141497096632. Its totient is φ = 12334900838400.

The previous prime is 40090611287833. The next prime is 40090611287849. The reversal of 40090611287844 is 44878211609004.

40090611287844 is a `hidden beast` number, since 400 + 9 + 0 + 6 + 1 + 128 + 78 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3624568668900 + 36466042618944 = 1903830^2 + 6038712^2 .

It is a super-2 number, since 2×400906112878442 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40090611287849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6302994 + ... + 10950294.

Almost surely, 240090611287844 is an apocalyptic number.

It is an amenable number.

40090611287844 is an abundant number, since it is smaller than the sum of its proper divisors (69050885808788).

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

40090611287844 is a wasteful number, since it uses less digits than its factorization.

40090611287844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4665757 (or 4665752 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 40090611287844 in words is "forty trillion, ninety billion, six hundred eleven million, two hundred eighty-seven thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 18433 36866 55299 73732 110598 165897 221196 239629 331794 479258 663588 718887 958516 1437774 2156661 2875548 4313322 4647301 8626644 9294602 13941903 18589204 27883806 41825709 55767612 60414913 83651418 120829826 167302836 181244739 241659652 362489478 543734217 724978956 1087468434 2174936868 85663699333 171327398666 256991097999 342654797332 513982195998 770973293997 1027964391996 1113628091329 1541946587994 2227256182658 3083893175988 3340884273987 4454512365316 6681768547974 10022652821961 13363537095948 20045305643922 40090611287844