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14240124912 = 2431364335491
BaseRepresentation
bin11010100001100011…
…10000111111110000
31100202102022022000210
431100301300333300
5213130432444122
610313011144120
71012612031106
oct152061607760
940672268023
1014240124912
1160481a7682
122914ba5040
13145c2a4820
14991341c76
1558526640c
hex350c70ff0

14240124912 has 80 divisors (see below), whose sum is σ = 39679488128. Its totient is φ = 4374639360.

The previous prime is 14240124911. The next prime is 14240124929. The reversal of 14240124912 is 21942104241.

14240124912 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 14240124912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14240124911) by changing a digit.

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, 383487 + ... + 418977.

Almost surely, 214240124912 is an apocalyptic number.

14240124912 is a gapful number since it is divisible by the number (12) 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 14240124912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19839744064).

14240124912 is an abundant number, since it is smaller than the sum of its proper divisors (25439363216).

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

14240124912 is a wasteful number, since it uses less digits than its factorization.

14240124912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36158 (or 36152 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 14240124912 in words is "fourteen billion, two hundred forty million, one hundred twenty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 643 1286 1929 2572 3858 5144 7716 8359 10288 15432 16718 25077 30864 33436 35491 50154 66872 70982 100308 106473 133744 141964 200616 212946 283928 401232 425892 461383 567856 851784 922766 1384149 1703568 1845532 2768298 3691064 5536596 7382128 11073192 22146384 22820713 45641426 68462139 91282852 136924278 182565704 273848556 296669269 365131408 547697112 593338538 890007807 1095394224 1186677076 1780015614 2373354152 3560031228 4746708304 7120062456 14240124912