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11144052442000 = 24535572026221
BaseRepresentation
bin1010001000101010110101…
…0010011000001110010000
31110110100202011201221102001
42202022231102120032100
52430041004411121000
635411301303203344
72230063002554332
oct242125522301620
943410664657361
1011144052442000
113607191095775
1212bb960746554
1362ab5873950a
142a7537089452
15144d3805e46a
hexa22ad498390

11144052442000 has 40 divisors (see below), whose sum is σ = 26946318809592. Its totient is φ = 4457620976000.

The previous prime is 11144052441983. The next prime is 11144052442021. The reversal of 11144052442000 is 24425044111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 96060324096 + 11047992117904 = 309936^2 + 3323852^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 11144052442000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2786011111 + ... + 2786015110.

Almost surely, 211144052442000 is an apocalyptic number.

11144052442000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11144052442000 is an abundant number, since it is smaller than the sum of its proper divisors (15802266367592).

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

11144052442000 is an equidigital number, since it uses as much as digits as its factorization.

11144052442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5572026244 (or 5572026228 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 11144052442000 its reverse (24425044111), we get a palindrome (11168477486111).

The spelling of 11144052442000 in words is "eleven trillion, one hundred forty-four billion, fifty-two million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 5572026221 11144052442 22288104884 27860131105 44576209768 55720262210 89152419536 111440524420 139300655525 222881048840 278601311050 445762097680 557202622100 696503277625 1114405244200 1393006555250 2228810488400 2786013110500 5572026221000 11144052442000