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14135311140 = 22351491581131
BaseRepresentation
bin11010010101000011…
…11011101100100100
31100111010002012120020
431022201323230210
5212422114424030
610254344435140
71010200106436
oct151241735444
940433065506
1014135311140
115aa4018525
1228a5a78ab0
131443666c42
1498145a656
1557ae60510
hex34a87bb24

14135311140 has 48 divisors (see below), whose sum is σ = 39844526400. Its totient is φ = 3744115840.

The previous prime is 14135311133. The next prime is 14135311159. The reversal of 14135311140 is 4111353141.

14135311140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14135311140.

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 15 ways as a sum of consecutive naturals, for example, 781626 + ... + 799505.

It is an arithmetic number, because the mean of its divisors is an integer number (830094300).

Almost surely, 214135311140 is an apocalyptic number.

14135311140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14135311140 is an abundant number, since it is smaller than the sum of its proper divisors (25709215260).

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

14135311140 is a wasteful number, since it uses less digits than its factorization.

14135311140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581292 (or 1581290 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 14135311140 its reverse (4111353141), we get a palindrome (18246664281).

The spelling of 14135311140 in words is "fourteen billion, one hundred thirty-five million, three hundred eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 447 596 745 894 1490 1788 2235 2980 4470 8940 1581131 3162262 4743393 6324524 7905655 9486786 15811310 18973572 23716965 31622620 47433930 94867860 235588519 471177038 706765557 942354076 1177942595 1413531114 2355885190 2827062228 3533827785 4711770380 7067655570 14135311140