Search a number
-
+
32013440000 = 2105450021
BaseRepresentation
bin11101110100001001…
…100101010000000000
310001122001221020210222
4131310021211100000
51011030420040000
622412355042212
72212215515213
oct356411452000
9101561836728
1032013440000
1112638830333
1262552a0368
133032566a09
141799a0177a
15c75793a85
hex774265400

32013440000 has 110 divisors (see below), whose sum is σ = 79970521554. Its totient is φ = 12805120000.

The previous prime is 32013439937. The next prime is 32013440057. The reversal of 32013440000 is 4431023.

It can be written as a sum of positive squares in 5 ways, for example, as 9575796736 + 22437643264 = 97856^2 + 149792^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 614990 + ... + 665010.

Almost surely, 232013440000 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 32013440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39985260777).

32013440000 is an abundant number, since it is smaller than the sum of its proper divisors (47957081554).

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

32013440000 is an frugal number, since it uses more digits than its factorization.

32013440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50061 (or 50028 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 32013440000 its reverse (4431023), we get a palindrome (32017871023).

The spelling of 32013440000 in words is "thirty-two billion, thirteen million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2500 2560 3200 4000 5000 5120 6400 8000 10000 12800 16000 20000 25600 32000 40000 50021 64000 80000 100042 128000 160000 200084 250105 320000 400168 500210 640000 800336 1000420 1250525 1600672 2000840 2501050 3201344 4001680 5002100 6252625 6402688 8003360 10004200 12505250 12805376 16006720 20008400 25010500 25610752 31263125 32013440 40016800 50021000 51221504 62526250 64026880 80033600 100042000 125052500 128053760 160067200 200084000 250105000 256107520 320134400 400168000 500210000 640268800 800336000 1000420000 1280537600 1600672000 2000840000 3201344000 4001680000 6402688000 8003360000 16006720000 32013440000