Search a number
-
+
4204414331442 = 2321396791856347
BaseRepresentation
bin111101001011101010100…
…111110110101000110010
3112212221022212022122202200
4331023222213312220302
51022341120032101232
612535251542324030
7612521210105103
oct75135247665062
915787285278680
104204414331442
11138109a310376
1257aa15a29616
13246622827b40
141076cd7ca3aa
1574576c4977c
hex3d2ea9f6a32

4204414331442 has 48 divisors (see below), whose sum is σ = 9811318957440. Its totient is φ = 1293531594336.

The previous prime is 4204414331413. The next prime is 4204414331519. The reversal of 4204414331442 is 2441334144024.

4204414331442 is a `hidden beast` number, since 4 + 2 + 0 + 44 + 143 + 31 + 442 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4204414331397 and 4204414331406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1336713 + ... + 3193059.

It is an arithmetic number, because the mean of its divisors is an integer number (204402478280).

Almost surely, 24204414331442 is an apocalyptic number.

4204414331442 is an abundant number, since it is smaller than the sum of its proper divisors (5606904625998).

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

4204414331442 is a wasteful number, since it uses less digits than its factorization.

4204414331442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866047 (or 1866044 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 4204414331442 its reverse (2441334144024), we get a palindrome (6645748475466).

The spelling of 4204414331442 in words is "four trillion, two hundred four billion, four hundred fourteen million, three hundred thirty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 9679 19358 29037 58074 87111 125827 174222 251654 377481 754962 1132443 1856347 2264886 3712694 5569041 11138082 16707123 24132511 33414246 48265022 72397533 144795066 217192599 434385198 17967582613 35935165226 53902747839 107805495678 161708243517 233578573969 323416487034 467157147938 700735721907 1401471443814 2102207165721 4204414331442