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11323140022144 = 272571439239201
BaseRepresentation
bin1010010011000101111110…
…1111010001111110000000
31111002111000002121121220201
42210301133233101332000
52441004242321202034
640025440111414544
72246032652100256
oct244613757217600
944074002547821
1011323140022144
113676131392355
12132a600824454
136419c9329252
142b2085a145d6
1514981a5d6014
hexa4c5fbd1f80

11323140022144 has 64 divisors (see below), whose sum is σ = 22661423395200. Its totient is φ = 5635597926400.

The previous prime is 11323140022123. The next prime is 11323140022147. The reversal of 11323140022144 is 44122004132311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×113231400221442 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11323140022147) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 47217744 + ... + 47456944.

It is an arithmetic number, because the mean of its divisors is an integer number (354084740550).

Almost surely, 211323140022144 is an apocalyptic number.

It is an amenable number.

11323140022144 is an abundant number, since it is smaller than the sum of its proper divisors (11338283373056).

11323140022144 is a wasteful number, since it uses less digits than its factorization.

11323140022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240911 (or 240899 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 11323140022144 its reverse (44122004132311), we get a palindrome (55445144154455).

The spelling of 11323140022144 in words is "eleven trillion, three hundred twenty-three billion, one hundred forty million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 257 514 1028 1439 2056 2878 4112 5756 8224 11512 16448 23024 32896 46048 92096 184192 239201 369823 478402 739646 956804 1479292 1913608 2958584 3827216 5917168 7654432 11834336 15308864 23668672 30617728 47337344 61474657 122949314 245898628 344210239 491797256 688420478 983594512 1376840956 1967189024 2753681912 3934378048 5507363824 7868756096 11014727648 22029455296 44058910592 88462031423 176924062846 353848125692 707696251384 1415392502768 2830785005536 5661570011072 11323140022144