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14041325040 = 243559991619
BaseRepresentation
bin11010001001110110…
…11001110111110000
31100020120020012212120
431010323121313300
5212224034400130
610241150154240
71004646202461
oct150473316760
940216205776
1014041325040
115a55a64366
12287a4b2980
13142a04a872
14972b92d68
15572a97910
hex344ed9df0

14041325040 has 80 divisors (see below), whose sum is σ = 44265916800. Its totient is φ = 3680886016.

The previous prime is 14041325017. The next prime is 14041325057. The reversal of 14041325040 is 4052314041.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14041325040.

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 15 ways as a sum of consecutive naturals, for example, 481650 + ... + 509969.

It is an arithmetic number, because the mean of its divisors is an integer number (553323960).

Almost surely, 214041325040 is an apocalyptic number.

14041325040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14041325040 is an abundant number, since it is smaller than the sum of its proper divisors (30224591760).

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

14041325040 is a wasteful number, since it uses less digits than its factorization.

14041325040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991694 (or 991688 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 14041325040 its reverse (4052314041), we get a palindrome (18093639081).

The spelling of 14041325040 in words is "fourteen billion, forty-one million, three hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 885 944 1180 1416 1770 2360 2832 3540 4720 7080 14160 991619 1983238 2974857 3966476 4958095 5949714 7932952 9916190 11899428 14874285 15865904 19832380 23798856 29748570 39664760 47597712 58505521 59497140 79329520 117011042 118994280 175516563 234022084 237988560 292527605 351033126 468044168 585055210 702066252 877582815 936088336 1170110420 1404132504 1755165630 2340220840 2808265008 3510331260 4680441680 7020662520 14041325040