Search a number
-
+
104431120434 = 23294118613313
BaseRepresentation
bin110000101000010010…
…1000111000000110010
3100222112222120120202100
41201100211013000302
53202333331323214
6115550333201230
710354620606654
oct1412045070062
9328488516670
10104431120434
114031a710503
12182a5930216
139b0384a6b4
1450a975a6d4
152ab326e309
hex1850947032

104431120434 has 48 divisors (see below), whose sum is σ = 226698000984. Its totient is φ = 34744204800.

The previous prime is 104431120373. The next prime is 104431120439. The reversal of 104431120434 is 434021134401.

104431120434 is a `hidden beast` number, since 1 + 0 + 443 + 11 + 204 + 3 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 84253770225 + 20177350209 = 290265^2 + 142047^2 .

It is a super-2 number, since 2×1044311204342 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104431120398 and 104431120407.

It is not an unprimeable number, because it can be changed into a prime (104431120439) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 31519962 + ... + 31523274.

Almost surely, 2104431120434 is an apocalyptic number.

104431120434 is an abundant number, since it is smaller than the sum of its proper divisors (122266880550).

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

104431120434 is a wasteful number, since it uses less digits than its factorization.

104431120434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6123 (or 6120 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 104431120434 its reverse (434021134401), we get a palindrome (538452254835).

The spelling of 104431120434 in words is "one hundred four billion, four hundred thirty-one million, one hundred twenty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 941 1861 1882 2823 3313 3722 5583 5646 6626 8469 9939 11166 16749 16938 19878 29817 33498 59634 1751201 3117533 3502402 5253603 6165493 6235066 9352599 10507206 12330986 15760809 18496479 18705198 28057797 31521618 36992958 55489437 56115594 110978874 5801728913 11603457826 17405186739 34810373478 52215560217 104431120434