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32013140000 = 25543743261
BaseRepresentation
bin11101110100001000…
…011100000000100000
310001122001101000021212
4131310020130000200
51011030330440000
622412344405252
72212213125452
oct356410340040
9101561330255
1032013140000
11126386459a6
126255176828
1330324902ba
1417999642d2
15c75734c35
hex77421c020

32013140000 has 120 divisors (see below), whose sum is σ = 80887567068. Its totient is φ = 12458880000.

The previous prime is 32013139999. The next prime is 32013140009. The reversal of 32013140000 is 4131023.

It can be written as a sum of positive squares in 10 ways, for example, as 33686416 + 31979453584 = 5804^2 + 178828^2 .

It is a super-2 number, since 2×320131400002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32013140009) 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, 718370 + ... + 761630.

Almost surely, 232013140000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32013140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40443783534).

32013140000 is an abundant number, since it is smaller than the sum of its proper divisors (48874427068).

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

32013140000 is an equidigital number, since it uses as much as digits as its factorization.

32013140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43328 (or 43305 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 32013140000 its reverse (4131023), we get a palindrome (32017271023).

The spelling of 32013140000 in words is "thirty-two billion, thirteen million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 125 148 160 185 200 250 296 370 400 500 592 625 740 800 925 1000 1184 1250 1480 1850 2000 2500 2960 3700 4000 4625 5000 5920 7400 9250 10000 14800 18500 20000 23125 29600 37000 43261 46250 74000 86522 92500 148000 173044 185000 216305 346088 370000 432610 692176 740000 865220 1081525 1384352 1600657 1730440 2163050 3201314 3460880 4326100 5407625 6402628 6921760 8003285 8652200 10815250 12805256 16006570 17304400 21630500 25610512 27038125 32013140 34608800 40016425 43261000 51221024 54076250 64026280 80032850 86522000 108152500 128052560 160065700 173044000 200082125 216305000 256105120 320131400 400164250 432610000 640262800 800328500 865220000 1000410625 1280525600 1600657000 2000821250 3201314000 4001642500 6402628000 8003285000 16006570000 32013140000