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14124630160 = 245199388589
BaseRepresentation
bin11010010011110010…
…01100000010010000
31100110100222120000101
431021321030002100
5212411401131120
610253323502144
71010010242524
oct151171140220
940410876011
1014124630160
115a98a92773
1228a2387954
131441397434
1497dc79d84
1557a05090a
hex349e4c090

14124630160 has 40 divisors (see below), whose sum is σ = 32856613560. Its totient is φ = 5646953472.

The previous prime is 14124630137. The next prime is 14124630193. The reversal of 14124630160 is 6103642141.

It can be written as a sum of positive squares in 4 ways, for example, as 4608237456 + 9516392704 = 67884^2 + 97552^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 115146 + ... + 203734.

It is an arithmetic number, because the mean of its divisors is an integer number (821415339).

Almost surely, 214124630160 is an apocalyptic number.

14124630160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14124630160 is an abundant number, since it is smaller than the sum of its proper divisors (18731983400).

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

14124630160 is a wasteful number, since it uses less digits than its factorization.

14124630160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90595 (or 90589 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 14124630160 in words is "fourteen billion, one hundred twenty-four million, six hundred thirty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1993 3986 7972 9965 15944 19930 31888 39860 79720 88589 159440 177178 354356 442945 708712 885890 1417424 1771780 3543560 7087120 176557877 353115754 706231508 882789385 1412463016 1765578770 2824926032 3531157540 7062315080 14124630160