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14132015000 = 235417166259
BaseRepresentation
bin11010010100101010…
…10110111110011000
31100110212212202002222
431022111112332120
5212420243440000
610254150043212
71010130100625
oct151225267630
940425782088
1014132015000
115aa2177044
1228a4949508
131442a8186c
14980c3d34c
1557aa0da85
hex34a556f98

14132015000 has 80 divisors (see below), whose sum is σ = 35059246200. Its totient is φ = 5320256000.

The previous prime is 14132014993. The next prime is 14132015057. The reversal of 14132015000 is 51023141.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 14132015000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1871 + ... + 168129.

Almost surely, 214132015000 is an apocalyptic number.

14132015000 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 14132015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17529623100).

14132015000 is an abundant number, since it is smaller than the sum of its proper divisors (20927231200).

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

14132015000 is a wasteful number, since it uses less digits than its factorization.

14132015000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166302 (or 166283 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 14132015000 its reverse (51023141), we get a palindrome (14183038141).

The spelling of 14132015000 in words is "fourteen billion, one hundred thirty-two million, fifteen thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 625 680 850 1000 1250 1700 2125 2500 3400 4250 5000 8500 10625 17000 21250 42500 85000 166259 332518 665036 831295 1330072 1662590 2826403 3325180 4156475 5652806 6650360 8312950 11305612 14132015 16625900 20782375 22611224 28264030 33251800 41564750 56528060 70660075 83129500 103911875 113056120 141320150 166259000 207823750 282640300 353300375 415647500 565280600 706600750 831295000 1413201500 1766501875 2826403000 3533003750 7066007500 14132015000