Search a number
-
+
32040144032 = 2513229333589
BaseRepresentation
bin11101110101101111…
…011100110010100000
310001200221011221212012
4131311233130302200
51011104234102112
622415151252052
72212661505431
oct356557346240
9101627157765
1032040144032
111265190a486
12626221a028
133037c56710
14179d393488
15c77cbb022
hex775bdcca0

32040144032 has 48 divisors (see below), whose sum is σ = 67962915720. Its totient is φ = 14780869632.

The previous prime is 32040144029. The next prime is 32040144077. The reversal of 32040144032 is 23044104023.

It can be written as a sum of positive squares in 4 ways, for example, as 28101828496 + 3938315536 = 167636^2 + 62756^2 .

It is a junction number, because it is equal to n+sod(n) for n = 32040143989 and 32040144007.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 937094 + ... + 970682.

Almost surely, 232040144032 is an apocalyptic number.

32040144032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32040144032 is an abundant number, since it is smaller than the sum of its proper divisors (35922771688).

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

32040144032 is a wasteful number, since it uses less digits than its factorization.

32040144032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35905 (or 35897 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 32040144032 its reverse (23044104023), we get a palindrome (55084248055).

The spelling of 32040144032 in words is "thirty-two billion, forty million, one hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 2293 4586 9172 18344 29809 33589 36688 59618 67178 73376 119236 134356 238472 268712 436657 476944 537424 873314 953888 1074848 1746628 3493256 6986512 13973024 77019577 154039154 308078308 616156616 1001254501 1232313232 2002509002 2464626464 4005018004 8010036008 16020072016 32040144032