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14042241430 = 2573152312373
BaseRepresentation
bin11010001001111101…
…11001100110010110
31100020121221202220221
431010332321212112
5212224303211210
610241221544554
71004660040250
oct150476714626
940217852827
1014042241430
115a5652a908
12287a87515a
13142a2ab9c9
14972d50cd0
15572bc91da
hex344fb9996

14042241430 has 64 divisors (see below), whose sum is σ = 29878161408. Its totient is φ = 4649892480.

The previous prime is 14042241401. The next prime is 14042241469. The reversal of 14042241430 is 3414224041.

It is a junction number, because it is equal to n+sod(n) for n = 14042241395 and 14042241404.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1128724 + ... + 1141096.

It is an arithmetic number, because the mean of its divisors is an integer number (466846272).

Almost surely, 214042241430 is an apocalyptic number.

14042241430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14042241430 is an abundant number, since it is smaller than the sum of its proper divisors (15835919978).

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

14042241430 is a wasteful number, since it uses less digits than its factorization.

14042241430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12941.

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 14042241430 its reverse (3414224041), we get a palindrome (17456465471).

The spelling of 14042241430 in words is "fourteen billion, forty-two million, two hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 31 35 62 70 155 217 310 434 523 1046 1085 2170 2615 3661 5230 7322 12373 16213 18305 24746 32426 36610 61865 81065 86611 113491 123730 162130 173222 226982 383563 433055 567455 767126 866110 1134910 1917815 2684941 3835630 5369882 6471079 12942158 13424705 26849410 32355395 45297553 64710790 90595106 200603449 226487765 401206898 452975530 1003017245 1404224143 2006034490 2808448286 7021120715 14042241430