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14240010717440 = 285109102064297
BaseRepresentation
bin1100111100111000001011…
…0001111100100100000000
31212102022221211102200022122
43033032002301330210000
53331302020220424230
650141434241423412
72666543511653414
oct317160261744400
955368854380278
1014240010717440
1145a01778a5012
12171b98693ab68
137c3a9a608951
1437331230ad44
1519a636c74be5
hexcf382c7c900

14240010717440 has 72 divisors (see below), whose sum is σ = 34422205143480. Its totient is φ = 5643747311616.

The previous prime is 14240010717431. The next prime is 14240010717451. The reversal of 14240010717440 is 4471701004241.

It can be written as a sum of positive squares in 4 ways, for example, as 1793113821184 + 12446896896256 = 1339072^2 + 3528016^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14240010717440.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 50892629 + ... + 51171668.

Almost surely, 214240010717440 is an apocalyptic number.

14240010717440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14240010717440 is an abundant number, since it is smaller than the sum of its proper divisors (20182194426040).

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

14240010717440 is a wasteful number, since it uses less digits than its factorization.

14240010717440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102064427 (or 102064413 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 35.

The spelling of 14240010717440 in words is "fourteen trillion, two hundred forty billion, ten million, seven hundred seventeen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 128 160 218 256 320 436 545 640 872 1090 1280 1744 2180 3488 4360 6976 8720 13952 17440 27904 34880 69760 139520 102064297 204128594 408257188 510321485 816514376 1020642970 1633028752 2041285940 3266057504 4082571880 6532115008 8165143760 11125008373 13064230016 16330287520 22250016746 26128460032 32660575040 44500033492 55625041865 65321150080 89000066984 111250083730 130642300160 178000133968 222500167460 356000267936 445000334920 712000535872 890000669840 1424001071744 1780001339680 2848002143488 3560002679360 7120005358720 14240010717440