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11144001413196 = 2232419738796169
BaseRepresentation
bin1010001000101010101000…
…1111101110000001001100
31110110100121121201102001100
42202022222033232001030
52430040403330210241
635411252241343100
72230061513043321
oct242125217560114
943410547642040
1011144001413196
113607165302003
1212bb947637a90
1362ab4acb0a62
142a75303a4b48
15144d3382e9b6
hexa22aa3ee04c

11144001413196 has 36 divisors (see below), whose sum is σ = 28236789617400. Its totient is φ = 3705801578688.

The previous prime is 11144001413191. The next prime is 11144001413203. The reversal of 11144001413196 is 69131410044111.

11144001413196 is a `hidden beast` number, since 1 + 1 + 1 + 440 + 0 + 14 + 13 + 196 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11144001413196.

It is not an unprimeable number, because it can be changed into a prime (11144001413191) 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 11 ways as a sum of consecutive naturals, for example, 369383001 + ... + 369413168.

It is an arithmetic number, because the mean of its divisors is an integer number (784355267150).

Almost surely, 211144001413196 is an apocalyptic number.

It is an amenable number.

11144001413196 is an abundant number, since it is smaller than the sum of its proper divisors (17092788204204).

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

11144001413196 is a wasteful number, since it uses less digits than its factorization.

11144001413196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738796598 (or 738796593 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 11144001413196 in words is "eleven trillion, one hundred forty-four billion, one million, four hundred thirteen thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 419 838 1257 1676 2514 3771 5028 7542 15084 738796169 1477592338 2216388507 2955184676 4432777014 6649165521 8865554028 13298331042 26596662084 309555594811 619111189622 928666784433 1238222379244 1857333568866 2786000353299 3714667137732 5572000706598 11144001413196