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11142040311132 = 2235209615128979
BaseRepresentation
bin1010001000100011010101…
…0110101101010101011100
31110110011112221120002202120
42202020311112231111130
52430022344304424012
635410325504222540
72226662100666513
oct242106526552534
943404487502676
1011142040311132
113606349312aa5
1212bb49a90aa50
1362a8c7905733
142a73c5b5367a
15144c6b5a258c
hexa22355ad55c

11142040311132 has 48 divisors (see below), whose sum is σ = 26008209964800. Its totient is φ = 3712568630400.

The previous prime is 11142040311131. The next prime is 11142040311191. The reversal of 11142040311132 is 23111304024111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11142040311131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384472219 + ... + 384501197.

It is an arithmetic number, because the mean of its divisors is an integer number (541837707600).

Almost surely, 211142040311132 is an apocalyptic number.

11142040311132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11142040311132 is an abundant number, since it is smaller than the sum of its proper divisors (14866169653668).

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

11142040311132 is a wasteful number, since it uses less digits than its factorization.

11142040311132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40346 (or 40344 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 11142040311132 its reverse (23111304024111), we get a palindrome (34253344335243).

The spelling of 11142040311132 in words is "eleven trillion, one hundred forty-two billion, forty million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 5209 6151 10418 12302 15627 18453 20836 24604 28979 31254 36906 57958 62508 73812 86937 115916 173874 347748 32040559 64081118 96121677 128162236 150951611 178249829 192243354 301903222 356499658 384486708 452854833 534749487 603806444 712999316 905709666 1069498974 1811419332 2138997948 928503359261 1857006718522 2785510077783 3714013437044 5571020155566 11142040311132