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20014340000 = 25544212377
BaseRepresentation
bin10010101000111100…
…101001011110100000
31220122211111211000212
4102220330221132200
5311442132340000
613110000433252
71305655040324
oct225074513640
956584454025
1020014340000
118540633966
123a66918828
131b6c658a45
14d7c179984
157c214ec35
hex4a8f297a0

20014340000 has 120 divisors (see below), whose sum is σ = 49375997748. Its totient is φ = 7983360000.

The previous prime is 20014339997. The next prime is 20014340009. The reversal of 20014340000 is 4341002.

It can be written as a sum of positive squares in 10 ways, for example, as 8200389136 + 11813950864 = 90556^2 + 108692^2 .

It is not an unprimeable number, because it can be changed into a prime (20014340009) 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, 8418812 + ... + 8421188.

Almost surely, 220014340000 is an apocalyptic number.

20014340000 is a gapful number since it is divisible by the number (20) 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 20014340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24687998874).

20014340000 is an abundant number, since it is smaller than the sum of its proper divisors (29361657748).

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

20014340000 is an equidigital number, since it uses as much as digits as its factorization.

20014340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 20014340000 its reverse (4341002), we get a palindrome (20018681002).

The spelling of 20014340000 in words is "twenty billion, fourteen million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 421 500 625 800 842 1000 1250 1684 2000 2105 2377 2500 3368 4000 4210 4754 5000 6736 8420 9508 10000 10525 11885 13472 16840 19016 20000 21050 23770 33680 38032 42100 47540 52625 59425 67360 76064 84200 95080 105250 118850 168400 190160 210500 237700 263125 297125 336800 380320 421000 475400 526250 594250 842000 950800 1000717 1052500 1188500 1485625 1684000 1901600 2001434 2105000 2377000 2971250 4002868 4210000 4754000 5003585 5942500 8005736 8420000 9508000 10007170 11885000 16011472 20014340 23770000 25017925 32022944 40028680 47540000 50035850 80057360 100071700 125089625 160114720 200143400 250179250 400286800 500358500 625448125 800573600 1000717000 1250896250 2001434000 2501792500 4002868000 5003585000 10007170000 20014340000