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14012311223440 = 2452812425125703
BaseRepresentation
bin1100101111100111111011…
…0101010011110010010000
31211121120020001122220102001
43023321332311103302100
53314034203133122230
645445100015203344
72644233064130215
oct313717665236220
954546201586361
1014012311223440
114512651427012
1216a381a816554
137a8480715c4a
143662b1541b0c
1519475bb480ca
hexcbe7ed53c90

14012311223440 has 80 divisors (see below), whose sum is σ = 32697181996416. Its totient is φ = 5584530560000.

The previous prime is 14012311223363. The next prime is 14012311223459. The reversal of 14012311223440 is 4432211321041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 14012311223399 and 14012311223408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 545149629 + ... + 545175331.

Almost surely, 214012311223440 is an apocalyptic number.

14012311223440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14012311223440 is an abundant number, since it is smaller than the sum of its proper divisors (18684870772976).

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

14012311223440 is a wasteful number, since it uses less digits than its factorization.

14012311223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50248 (or 50242 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 14012311223440 its reverse (4432211321041), we get a palindrome (18444522544481).

The spelling of 14012311223440 in words is "fourteen trillion, twelve billion, three hundred eleven million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 281 562 1124 1405 2248 2810 4496 5620 11240 22480 24251 25703 48502 51406 97004 102812 121255 128515 194008 205624 242510 257030 388016 411248 485020 514060 970040 1028120 1940080 2056240 6814531 7222543 13629062 14445086 27258124 28890172 34072655 36112715 54516248 57780344 68145310 72225430 109032496 115560688 136290620 144450860 272581240 288901720 545162480 577803440 623323453 1246646906 2493293812 3116617265 4986587624 6233234530 9973175248 12466469060 24932938120 49865876240 175153890293 350307780586 700615561172 875769451465 1401231122344 1751538902930 2802462244688 3503077805860 7006155611720 14012311223440