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2032440043140 = 2232513868564121
BaseRepresentation
bin11101100100110110110…
…111011110011010000100
321012022002020111210021100
4131210312313132122010
5231244414122340030
64153405015420100
7266560521215223
oct35446667363204
97168066453240
102032440043140
11713a534673a1
12289a98084630
131198732c5480
1470528dbccba
1537d05e3c360
hex1d936dde684

2032440043140 has 72 divisors (see below), whose sum is σ = 6639304148568. Its totient is φ = 500292933120.

The previous prime is 2032440043121. The next prime is 2032440043157. The reversal of 2032440043140 is 413400442302.

It is a happy number.

2032440043140 is a `hidden beast` number, since 20 + 324 + 4 + 0 + 0 + 4 + 314 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3387938436 + 2029052104704 = 58206^2 + 1424448^2 .

It is a super-3 number, since 3×20324400431403 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 434279721 + ... + 434284400.

It is an arithmetic number, because the mean of its divisors is an integer number (92212557619).

Almost surely, 22032440043140 is an apocalyptic number.

2032440043140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2032440043140 is an abundant number, since it is smaller than the sum of its proper divisors (4606864105428).

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

2032440043140 is a wasteful number, since it uses less digits than its factorization.

2032440043140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868564149 (or 868564144 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2032440043140 its reverse (413400442302), we get a palindrome (2445840485442).

The spelling of 2032440043140 in words is "two trillion, thirty-two billion, four hundred forty million, forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 868564121 1737128242 2605692363 3474256484 4342820605 5211384726 7817077089 8685641210 10422769452 11291333573 13028461815 15634154178 17371282420 22582667146 26056923630 31268308356 33874000719 39085385445 45165334292 52113847260 56456667865 67748001438 78170770890 101622002157 112913335730 135496002876 156341541780 169370003595 203244004314 225826671460 338740007190 406488008628 508110010785 677480014380 1016220021570 2032440043140