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14120443120 = 245747536491
BaseRepresentation
bin11010010011010010…
…01101110011110000
31100110002002211110211
431021221031303300
5212404313134440
610253054033504
71006626533440
oct151151156360
940402084424
1014120443120
115a96692a03
1228a0aa8894
13144055c6b4
1497d4aa120
155799c4eea
hex349a4dcf0

14120443120 has 80 divisors (see below), whose sum is σ = 38318404608. Its totient is φ = 4738279680.

The previous prime is 14120443111. The next prime is 14120443147. The reversal of 14120443120 is 2134402141.

It is a happy number.

14120443120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 14120443091 and 14120443100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241926 + ... + 294565.

Almost surely, 214120443120 is an apocalyptic number.

14120443120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14120443120 is an abundant number, since it is smaller than the sum of its proper divisors (24197961488).

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

14120443120 is a wasteful number, since it uses less digits than its factorization.

14120443120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536558 (or 536552 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 14120443120 its reverse (2134402141), we get a palindrome (16254845261).

The spelling of 14120443120 in words is "fourteen billion, one hundred twenty million, four hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 47 56 70 80 94 112 140 188 235 280 329 376 470 560 658 752 940 1316 1645 1880 2632 3290 3760 5264 6580 13160 26320 536491 1072982 2145964 2682455 3755437 4291928 5364910 7510874 8583856 10729820 15021748 18777185 21459640 25215077 30043496 37554370 42919280 50430154 60086992 75108740 100860308 126075385 150217480 176505539 201720616 252150770 300434960 353011078 403441232 504301540 706022156 882527695 1008603080 1412044312 1765055390 2017206160 2824088624 3530110780 7060221560 14120443120