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14124334121430 = 2351364356323859
BaseRepresentation
bin1100110110001001001111…
…1010110000000111010110
31212000021101010111202010220
43031202103322300013112
53322403114013341210
650012343550455210
72655310111061361
oct315422372600726
955007333452126
1014124334121430
114556107433345
121701482b04506
137b5bc40466c0
1436b89b2610d8
15197616627c70
hexcd893eb01d6

14124334121430 has 64 divisors (see below), whose sum is σ = 36562746366720. Its totient is φ = 3471352016256.

The previous prime is 14124334121393. The next prime is 14124334121431. The reversal of 14124334121430 is 3412143342141.

It is a happy number.

14124334121430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14124334121391 and 14124334121400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14124334121431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27911160 + ... + 28412699.

It is an arithmetic number, because the mean of its divisors is an integer number (571292911980).

Almost surely, 214124334121430 is an apocalyptic number.

14124334121430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14124334121430 is an abundant number, since it is smaller than the sum of its proper divisors (22438412245290).

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

14124334121430 is a wasteful number, since it uses less digits than its factorization.

14124334121430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56324525.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 14124334121430 its reverse (3412143342141), we get a palindrome (17536477463571).

The spelling of 14124334121430 in words is "fourteen trillion, one hundred twenty-four billion, three hundred thirty-four million, one hundred twenty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 643 1286 1929 3215 3858 6430 8359 9645 16718 19290 25077 41795 50154 83590 125385 250770 56323859 112647718 168971577 281619295 337943154 563238590 732210167 844857885 1464420334 1689715770 2196630501 3661050835 4393261002 7322101670 10983152505 21966305010 36216241337 72432482674 108648724011 181081206685 217297448022 362162413370 470811137381 543243620055 941622274762 1086487240110 1412433412143 2354055686905 2824866824286 4708111373810 7062167060715 14124334121430