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11132440014420 = 22325235069263101
BaseRepresentation
bin1010000111111111100100…
…1000011110111001010100
31110102020202212220111110200
42201333321020132321110
52424343214120430140
635402101120420500
72226202145552334
oct241777110367124
943366685814420
1011132440014420
113602272190a8a
1212b965b777730
13629a279847aa
142a6b54b190c4
151448a884a030
hexa1ff921ee54

11132440014420 has 72 divisors (see below), whose sum is σ = 33768673378440. Its totient is φ = 2968626758400.

The previous prime is 11132440014359. The next prime is 11132440014427. The reversal of 11132440014420 is 2441004423111.

11132440014420 is a `hidden beast` number, since 1 + 113 + 2 + 4 + 400 + 144 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2045941172496 + 9086498841924 = 1430364^2 + 3014382^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132440014427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42180870 + ... + 42443970.

Almost surely, 211132440014420 is an apocalyptic number.

11132440014420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11132440014420 is an abundant number, since it is smaller than the sum of its proper divisors (22636233364020).

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

11132440014420 is a wasteful number, since it uses less digits than its factorization.

11132440014420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498185 (or 498180 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 11132440014420 its reverse (2441004423111), we get a palindrome (13573444437531).

The spelling of 11132440014420 in words is "eleven trillion, one hundred thirty-two billion, four hundred forty million, fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 235069 263101 470138 526202 705207 789303 940276 1052404 1175345 1315505 1410414 1578606 2115621 2350690 2367909 2631010 2820828 3157212 3526035 3946515 4231242 4701380 4735818 5262020 7052070 7893030 8462484 9471636 10578105 11839545 14104140 15786060 21156210 23679090 42312420 47358180 61846888969 123693777938 185540666907 247387555876 309234444845 371081333814 556622000721 618468889690 742162667628 927703334535 1113244001442 1236937779380 1855406669070 2226488002884 2783110003605 3710813338140 5566220007210 11132440014420