Search a number
-
+
12332320040 = 235973178433
BaseRepresentation
bin10110111110001000…
…00100010100101000
31011211110102202202002
423133010010110220
5200224033220130
65355420230132
7614414663555
oct133704042450
934743382662
1012332320040
115259300637
12248209b348
131216c6a5c1
1484dc05a2c
154c2a15b45
hex2df104528

12332320040 has 32 divisors (see below), whose sum is σ = 28033787880. Its totient is φ = 4882071552.

The previous prime is 12332320019. The next prime is 12332320073. The reversal of 12332320040 is 4002323321.

It can be written as a sum of positive squares in 4 ways, for example, as 9025380004 + 3306940036 = 95002^2 + 57506^2 .

It is a super-2 number, since 2×123323200402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12332319994 and 12332320021.

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, 1585337 + ... + 1593096.

Almost surely, 212332320040 is an apocalyptic number.

12332320040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12332320040 is an abundant number, since it is smaller than the sum of its proper divisors (15701467840).

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

12332320040 is a wasteful number, since it uses less digits than its factorization.

12332320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3178541 (or 3178537 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 12332320040 its reverse (4002323321), we get a palindrome (16334643361).

The spelling of 12332320040 in words is "twelve billion, three hundred thirty-two million, three hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 97 194 388 485 776 970 1940 3880 3178433 6356866 12713732 15892165 25427464 31784330 63568660 127137320 308308001 616616002 1233232004 1541540005 2466464008 3083080010 6166160020 12332320040