Search a number
-
+
123403420140 = 2235711134371673
BaseRepresentation
bin111001011101101101…
…0101100000111101100
3102210112012022021020020
41302323122230013230
54010212233421030
6132405111322140
711626023523050
oct1627332540754
9383465267206
10123403420140
1148376017040
121babb680350
13b838339b40
145d89363c60
153323b86510
hex1cbb6ac1ec

123403420140 has 768 divisors, whose sum is σ = 482118303744. Its totient is φ = 22759833600.

The previous prime is 123403420103. The next prime is 123403420181. The reversal of 123403420140 is 41024304321.

It is a self number, because there is not a number n which added to its sum of digits gives 123403420140.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 183362844 + ... + 183363516.

It is an arithmetic number, because the mean of its divisors is an integer number (627758208).

Almost surely, 2123403420140 is an apocalyptic number.

123403420140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123403420140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241059151872).

123403420140 is an abundant number, since it is smaller than the sum of its proper divisors (358714883604).

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

123403420140 is a wasteful number, since it uses less digits than its factorization.

123403420140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 123403420140 its reverse (41024304321), we get a palindrome (164427724461).

The spelling of 123403420140 in words is "one hundred twenty-three billion, four hundred three million, four hundred twenty thousand, one hundred forty".