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14007195904 = 281325692
BaseRepresentation
bin11010000101110010…
…01101100100000000
31100011012000021111111
431002321031210000
5212141320232104
610233530453104
71004053125562
oct150271154400
940135007444
1014007195904
115a38773669
12286ab94194
131422c5b300
1496c42b332
1556eaa5404
hex342e4d900

14007195904 has 81 divisors (see below), whose sum is σ = 30329164803. Its totient is φ = 6453497856.

The previous prime is 14007195901. The next prime is 14007195907. The reversal of 14007195904 is 40959170041.

The square root of 14007195904 is 118352.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (14007195901) and next prime (14007195907).

It can be written as a sum of positive squares in 4 ways, for example, as 6619449600 + 7387746304 = 81360^2 + 85952^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14007195901) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 24616932 + ... + 24617500.

Almost surely, 214007195904 is an apocalyptic number.

14007195904 is the 118352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14007195904

14007195904 is an abundant number, since it is smaller than the sum of its proper divisors (16321968899).

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

14007195904 is an frugal number, since it uses more digits than its factorization.

14007195904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The spelling of 14007195904 in words is "fourteen billion, seven million, one hundred ninety-five thousand, nine hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 569 676 832 1138 1352 1664 2276 2704 3328 4552 5408 7397 9104 10816 14794 18208 21632 29588 36416 43264 59176 72832 96161 118352 145664 192322 236704 323761 384644 473408 647522 769288 946816 1295044 1538576 1893632 2590088 3077152 4208893 5180176 6154304 8417786 10360352 12308608 16835572 20720704 24617216 33671144 41441408 54715609 67342288 82882816 109431218 134684576 218862436 269369152 437724872 538738304 875449744 1077476608 1750899488 3501798976 7003597952 14007195904