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11340312144 = 243739898461
BaseRepresentation
bin10101000111110111…
…10110111001010000
31002021022210112201220
422203323312321100
5141211104442034
65113142125040
7551011030350
oct124373667120
932238715656
1011340312144
11489a3463a7
122245a20780
1310b959b095
14798178b60
154658b2749
hex2a3ef6e50

11340312144 has 80 divisors (see below), whose sum is σ = 33493272960. Its totient is φ = 3238894080.

The previous prime is 11340312143. The next prime is 11340312157. The reversal of 11340312144 is 44121304311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11340312143) 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 15 ways as a sum of consecutive naturals, for example, 1336074 + ... + 1344534.

It is an arithmetic number, because the mean of its divisors is an integer number (418665912).

Almost surely, 211340312144 is an apocalyptic number.

11340312144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11340312144 is an abundant number, since it is smaller than the sum of its proper divisors (22152960816).

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

11340312144 is a wasteful number, since it uses less digits than its factorization.

11340312144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12468 (or 12462 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11340312144 its reverse (44121304311), we get a palindrome (55461616455).

The spelling of 11340312144 in words is "eleven billion, three hundred forty million, three hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 3989 7978 8461 11967 15956 16922 23934 25383 27923 31912 33844 47868 50766 55846 59227 63824 67688 83769 95736 101532 111692 118454 135376 167538 177681 191472 203064 223384 236908 335076 355362 406128 446768 473816 670152 710724 947632 1340304 1421448 2842896 33750929 67501858 101252787 135003716 202505574 236256503 270007432 405011148 472513006 540014864 708769509 810022296 945026012 1417539018 1620044592 1890052024 2835078036 3780104048 5670156072 11340312144