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11004344022240 = 253454493188983
BaseRepresentation
bin1010000000100010011000…
…0001000011010011100000
31102222000010122200212120000
42200020212001003103200
52420243344032202430
635223154215020000
72214015621566232
oct240104601032340
942860118625500
1011004344022240
113562a09355138
12129887066a600
1361a9223b7b0a
142a088247c252
151413acc36e60
hexa02260434e0

11004344022240 has 240 divisors, whose sum is σ = 38845013362848. Its totient is φ = 2933823089664.

The previous prime is 11004344022227. The next prime is 11004344022247. The reversal of 11004344022240 is 4222044340011.

11004344022240 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 4 + 34 + 402 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×110043440222402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11004344022247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58134789 + ... + 58323771.

Almost surely, 211004344022240 is an apocalyptic number.

11004344022240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11004344022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19422506681424).

11004344022240 is an abundant number, since it is smaller than the sum of its proper divisors (27840669340608).

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

11004344022240 is a wasteful number, since it uses less digits than its factorization.

11004344022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193503 (or 193486 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 11004344022240 its reverse (4222044340011), we get a palindrome (15226388362251).

The spelling of 11004344022240 in words is "eleven trillion, four billion, three hundred forty-four million, twenty-two thousand, two hundred forty".