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14120134440 = 2335479245653
BaseRepresentation
bin11010010011010000…
…00010011100101000
31100110001112011001020
431021220002130220
5212404223300230
610253043252440
71006624106466
oct151150023450
940401464036
1014120134440
115a964a1aa5
1228a097a120
131440482049
1497d429836
15579963810
hex349a02728

14120134440 has 64 divisors (see below), whose sum is σ = 42449011200. Its totient is φ = 3757492992.

The previous prime is 14120134433. The next prime is 14120134459. The reversal of 14120134440 is 4443102141.

It is a super-2 number, since 2×141201344402 (a number of 21 digits) contains 22 as substring.

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 14120134440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65347 + ... + 180306.

It is an arithmetic number, because the mean of its divisors is an integer number (663265800).

Almost surely, 214120134440 is an apocalyptic number.

14120134440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14120134440 is an abundant number, since it is smaller than the sum of its proper divisors (28328876760).

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

14120134440 is a wasteful number, since it uses less digits than its factorization.

14120134440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246146 (or 246142 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14120134440 its reverse (4443102141), we get a palindrome (18563236581).

The spelling of 14120134440 in words is "fourteen billion, one hundred twenty million, one hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 479 958 1437 1916 2395 2874 3832 4790 5748 7185 9580 11496 14370 19160 28740 57480 245653 491306 736959 982612 1228265 1473918 1965224 2456530 2947836 3684795 4913060 5895672 7369590 9826120 14739180 29478360 117667787 235335574 353003361 470671148 588338935 706006722 941342296 1176677870 1412013444 1765016805 2353355740 2824026888 3530033610 4706711480 7060067220 14120134440