Search a number
-
+
42432131232 = 25355456807
BaseRepresentation
bin100111100001001001…
…101111000010100000
311001112011112121100000
4213201021233002200
51143400111144412
631254255500000
73031336110261
oct474111570240
9131464477300
1042432131232
1116aa4917257
128282527600
134002c0b27a
1420a75d2968
1511852a84dc
hex9e126f0a0

42432131232 has 72 divisors (see below), whose sum is σ = 125135521056. Its totient is φ = 14144041152.

The previous prime is 42432131219. The next prime is 42432131317. The reversal of 42432131232 is 23213123424.

42432131232 is a `hidden beast` number, since 4 + 24 + 321 + 312 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42432131196 and 42432131205.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2720628 + ... + 2736179.

It is an arithmetic number, because the mean of its divisors is an integer number (1737993348).

Almost surely, 242432131232 is an apocalyptic number.

It is an amenable number.

42432131232 is an abundant number, since it is smaller than the sum of its proper divisors (82703389824).

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

42432131232 is an equidigital number, since it uses as much as digits as its factorization.

42432131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5456832 (or 5456812 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 42432131232 its reverse (23213123424), we get a palindrome (65645254656).

The spelling of 42432131232 in words is "forty-two billion, four hundred thirty-two million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 5456807 10913614 16370421 21827228 32740842 43654456 49111263 65481684 87308912 98222526 130963368 147333789 174617824 196445052 261926736 294667578 392890104 442001367 523853472 589335156 785780208 884002734 1178670312 1326004101 1571560416 1768005468 2357340624 2652008202 3536010936 4714681248 5304016404 7072021872 10608032808 14144043744 21216065616 42432131232