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14306140000 = 25541973631
BaseRepresentation
bin11010101001011011…
…00101111101100000
31100221000112012201001
431110231211331200
5213244332440000
610323330121344
71014343116655
oct152455457540
940830465631
1014306140000
1160814967a9
122933120254
13146cb795c9
1499a007c2c
1558ae5646a
hex354b65f60

14306140000 has 120 divisors (see below), whose sum is σ = 35383648608. Its totient is φ = 5691840000.

The previous prime is 14306139973. The next prime is 14306140007. The reversal of 14306140000 is 4160341.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14306140000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14306140007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3938185 + ... + 3941815.

Almost surely, 214306140000 is an apocalyptic number.

14306140000 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 14306140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17691824304).

14306140000 is an abundant number, since it is smaller than the sum of its proper divisors (21077508608).

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

14306140000 is an equidigital number, since it uses as much as digits as its factorization.

14306140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3858 (or 3835 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The spelling of 14306140000 in words is "fourteen billion, three hundred six million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 197 200 250 394 400 500 625 788 800 985 1000 1250 1576 1970 2000 2500 3152 3631 3940 4000 4925 5000 6304 7262 7880 9850 10000 14524 15760 18155 19700 20000 24625 29048 31520 36310 39400 49250 58096 72620 78800 90775 98500 116192 123125 145240 157600 181550 197000 246250 290480 363100 394000 453875 492500 580960 715307 726200 788000 907750 985000 1430614 1452400 1815500 1970000 2269375 2861228 2904800 3576535 3631000 3940000 4538750 5722456 7153070 7262000 9077500 11444912 14306140 14524000 17882675 18155000 22889824 28612280 35765350 36310000 57224560 71530700 72620000 89413375 114449120 143061400 178826750 286122800 357653500 447066875 572245600 715307000 894133750 1430614000 1788267500 2861228000 3576535000 7153070000 14306140000