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234552011040 = 25345174722651
BaseRepresentation
bin1101101001110001100…
…0111010100100100000
3211102102022222201010000
43122130120322210200
512320330303323130
6255430211340000
722642263125034
oct3323430724440
9742368881100
10234552011040
119052254a526
123955abb1600
131916c79b619
14b4d0cd41c4
15617ba12260
hex369c63a920

234552011040 has 480 divisors, whose sum is σ = 895153400064. Its totient is φ = 57612902400.

The previous prime is 234552011011. The next prime is 234552011041. The reversal of 234552011040 is 40110255432.

234552011040 is a `hidden beast` number, since 2 + 3 + 4 + 552 + 0 + 1 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 234552010995 and 234552011013.

It is not an unprimeable number, because it can be changed into a prime (234552011041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10343715 + ... + 10366365.

Almost surely, 2234552011040 is an apocalyptic number.

234552011040 is a gapful number since it is divisible by the number (20) 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 234552011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447576700032).

234552011040 is an abundant number, since it is smaller than the sum of its proper divisors (660601389024).

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

234552011040 is a wasteful number, since it uses less digits than its factorization.

234552011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22742 (or 22725 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 234552011040 its reverse (40110255432), we get a palindrome (274662266472).

The spelling of 234552011040 in words is "two hundred thirty-four billion, five hundred fifty-two million, eleven thousand, forty".