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14002013442320 = 2451058916528961
BaseRepresentation
bin1100101111000001100100…
…0010011001000100010000
31211120120122101120102101022
43023300121002121010100
53313402110420123240
645440234114055012
72643416642336561
oct313603102310420
954516571512338
1014002013442320
114509247613702
1216a1825b7a468
137a74cc126937
143659b5a26168
15194357a689b5
hexcbc19099110

14002013442320 has 40 divisors (see below), whose sum is σ = 32557757609880. Its totient is φ = 5600276111360.

The previous prime is 14002013442227. The next prime is 14002013442337. The reversal of 14002013442320 is 2324431020041.

It can be written as a sum of positive squares in 4 ways, for example, as 644918212624 + 13357095229696 = 803068^2 + 3654736^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 14002013442320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7417361 + ... + 9111600.

It is an arithmetic number, because the mean of its divisors is an integer number (813943940247).

Almost surely, 214002013442320 is an apocalyptic number.

14002013442320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14002013442320 is an abundant number, since it is smaller than the sum of its proper divisors (18555744167560).

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

14002013442320 is a wasteful number, since it uses less digits than its factorization.

14002013442320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16539563 (or 16539557 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 14002013442320 its reverse (2324431020041), we get a palindrome (16326444462361).

The spelling of 14002013442320 in words is "fourteen trillion, two billion, thirteen million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 10589 21178 42356 52945 84712 105890 169424 211780 423560 847120 16528961 33057922 66115844 82644805 132231688 165289610 264463376 330579220 661158440 1322316880 175025168029 350050336058 700100672116 875125840145 1400201344232 1750251680290 2800402688464 3500503360580 7001006721160 14002013442320