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14137059312 = 2432474015209
BaseRepresentation
bin11010010101010001…
…00110011111110000
31100111020101000121100
431022220212133300
5212423041344222
610254450124400
71010221010235
oct151250463760
940436330540
1014137059312
115aa50019a2
1228a6580700
131443b2986c
1498179378c
1557b1a84ac
hex34aa267f0

14137059312 has 120 divisors (see below), whose sum is σ = 40514460480. Its totient is φ = 4599705600.

The previous prime is 14137059241. The next prime is 14137059317. The reversal of 14137059312 is 21395073141.

14137059312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14137059317) 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 23 ways as a sum of consecutive naturals, for example, 2711364 + ... + 2716572.

It is an arithmetic number, because the mean of its divisors is an integer number (337620504).

Almost surely, 214137059312 is an apocalyptic number.

14137059312 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 14137059312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20257230240).

14137059312 is an abundant number, since it is smaller than the sum of its proper divisors (26377401168).

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

14137059312 is a wasteful number, since it uses less digits than its factorization.

14137059312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5671 (or 5662 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 14137059312 in words is "fourteen billion, one hundred thirty-seven million, fifty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 401 423 564 752 802 846 1128 1203 1604 1692 2256 2406 3208 3384 3609 4812 5209 6416 6768 7218 9624 10418 14436 15627 18847 19248 20836 28872 31254 37694 41672 46881 56541 57744 62508 75388 83344 93762 113082 125016 150776 169623 187524 226164 244823 250032 301552 339246 375048 452328 489646 678492 734469 750096 904656 979292 1356984 1468938 1958584 2088809 2203407 2713968 2937876 3917168 4177618 4406814 5875752 6266427 8355236 8813628 11751504 12532854 16710472 17627256 18799281 25065708 33420944 35254512 37598562 50131416 75197124 98174023 100262832 150394248 196348046 294522069 300788496 392696092 589044138 785392184 883566207 1178088276 1570784368 1767132414 2356176552 3534264828 4712353104 7068529656 14137059312