Search a number
-
+
23240433404232 = 23321117371011273637
BaseRepresentation
bin1010100100011000101011…
…10001110000100101001000
310001021202121202121012221100
411102030111301300211020
511021232401422413412
6121232301355541400
74616031414343002
oct522142561604510
9101252552535840
1023240433404232
117450237863a70
12273419a15a860
13cc7742c21265
145a4bb31c1372
152a480c5e6edc
hex152315c70948

23240433404232 has 768 divisors, whose sum is σ = 76022963527680. Its totient is φ = 6333272064000.

The previous prime is 23240433404189. The next prime is 23240433404257.

23240433404232 is a `hidden beast` number, since 2 + 3 + 2 + 40 + 43 + 340 + 4 + 232 = 666.

23240433404232 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6389999118 + ... + 6390002754.

It is an arithmetic number, because the mean of its divisors is an integer number (98988233760).

Almost surely, 223240433404232 is an apocalyptic number.

23240433404232 is a gapful number since it is divisible by the number (22) 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 23240433404232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38011481763840).

23240433404232 is an abundant number, since it is smaller than the sum of its proper divisors (52782530123448).

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

23240433404232 is a wasteful number, since it uses less digits than its factorization.

23240433404232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3942 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 2324043 and 3404232, that added together give a palindrome (5728275).

The spelling of 23240433404232 in words is "twenty-three trillion, two hundred forty billion, four hundred thirty-three million, four hundred four thousand, two hundred thirty-two".