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14072140720 = 2451117599091
BaseRepresentation
bin11010001101100001…
…11101001110110000
31100022201012211001001
431012300331032300
5212304432000340
610244210451344
71005502136221
oct150660751660
940281184031
1014072140720
115a713a1670
122888893b54
131433549bb1
14976cd5248
1557563329a
hex346c3d3b0

14072140720 has 80 divisors (see below), whose sum is σ = 35716285440. Its totient is φ = 5113670400.

The previous prime is 14072140697. The next prime is 14072140739. The reversal of 14072140720 is 2704127041.

14072140720 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 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, 1543375 + ... + 1552465.

It is an arithmetic number, because the mean of its divisors is an integer number (446453568).

Almost surely, 214072140720 is an apocalyptic number.

14072140720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14072140720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17858142720).

14072140720 is an abundant number, since it is smaller than the sum of its proper divisors (21644144720).

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

14072140720 is a wasteful number, since it uses less digits than its factorization.

14072140720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10874 (or 10868 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

Adding to 14072140720 its reverse (2704127041), we get a palindrome (16776267761).

The spelling of 14072140720 in words is "fourteen billion, seventy-two million, one hundred forty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1759 3518 7036 8795 9091 14072 17590 18182 19349 28144 35180 36364 38698 45455 70360 72728 77396 90910 96745 100001 140720 145456 154792 181820 193490 200002 309584 363640 386980 400004 500005 727280 773960 800008 1000010 1547920 1600016 2000020 4000040 8000080 15991069 31982138 63964276 79955345 127928552 159910690 175901759 255857104 319821380 351803518 639642760 703607036 879508795 1279285520 1407214072 1759017590 2814428144 3518035180 7036070360 14072140720