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14038640720 = 24513210192
BaseRepresentation
bin11010001001100010…
…01010100001010000
31100020101011211200022
431010301022201100
5212222343000340
610241012443012
71004614322456
oct150461124120
940211154608
1014038640720
115a544a0615
122879619468
13142961ab00
149726949d6
155727173b5
hex344c4a850

14038640720 has 90 divisors (see below), whose sum is σ = 35378450478. Its totient is φ = 5178411264.

The previous prime is 14038640719. The next prime is 14038640771. The reversal of 14038640720 is 2704683041.

It can be written as a sum of positive squares in 3 ways, for example, as 66455104 + 13972185616 = 8152^2 + 118204^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13776371 + ... + 13777389.

Almost surely, 214038640720 is an apocalyptic number.

14038640720 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 14038640720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17689225239).

14038640720 is an abundant number, since it is smaller than the sum of its proper divisors (21339809758).

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

14038640720 is an equidigital number, since it uses as much as digits as its factorization.

14038640720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 14038640720 in words is "fourteen billion, thirty-eight million, six hundred forty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1019 1040 1352 1690 2038 2704 3380 4076 5095 6760 8152 10190 13247 13520 16304 20380 26494 40760 52988 66235 81520 105976 132470 172211 211952 264940 344422 529880 688844 861055 1038361 1059760 1377688 1722110 2076722 2755376 3444220 4153444 5191805 6888440 8306888 10383610 13498693 13776880 16613776 20767220 26997386 41534440 53994772 67493465 83068880 107989544 134986930 175483009 215979088 269973860 350966018 539947720 701932036 877415045 1079895440 1403864072 1754830090 2807728144 3509660180 7019320360 14038640720