Search a number
-
+
123411445344 = 25331147927109
BaseRepresentation
bin111001011101111100…
…1010011011001100000
3102210112202101222202000
41302323321103121200
54010221312222334
6132405555324000
711626151656125
oct1627371233140
9383482358660
10123411445344
114837a5a8540
121bb022b0600
13b839bb9895
145d8a45274c
15332471e299
hex1cbbe53660

123411445344 has 192 divisors, whose sum is σ = 393507072000. Its totient is φ = 37317957120.

The previous prime is 123411445337. The next prime is 123411445369. The reversal of 123411445344 is 443544114321.

It is a happy number.

123411445344 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 114 + 4 + 534 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 123411445299 and 123411445308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4538862 + ... + 4565970.

It is an arithmetic number, because the mean of its divisors is an integer number (2049516000).

Almost surely, 2123411445344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123411445344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196753536000).

123411445344 is an abundant number, since it is smaller than the sum of its proper divisors (270095626656).

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

123411445344 is a wasteful number, since it uses less digits than its factorization.

123411445344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27618 (or 27604 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 123411445344 its reverse (443544114321), we get a palindrome (566955559665).

The spelling of 123411445344 in words is "one hundred twenty-three billion, four hundred eleven million, four hundred forty-five thousand, three hundred forty-four".