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230032404444240 = 2433519231971237051
BaseRepresentation
bin110100010011011010010111…
…110000001111010001010000
31010011110212211210000010212000
4310103122113300033101100
5220122322331014203430
62133123232220234000
766311202265156266
oct6423322760172120
91104425753003760
10230032404444240
1167328216415a32
12219719a299b900
139b47c68c76998
1440b38b08b4436
151b8da0dae4e60
hexd13697c0f450

230032404444240 has 640 divisors, whose sum is σ = 874716500275200. Its totient is φ = 55304566732800.

The previous prime is 230032404444209. The next prime is 230032404444287. The reversal of 230032404444240 is 42444404230032.

230032404444240 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 3 + 2 + 404 + 4 + 4 + 4 + 240 = 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 = 230032404444195 and 230032404444204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 185333715 + ... + 186570765.

It is an arithmetic number, because the mean of its divisors is an integer number (1366744531680).

Almost surely, 2230032404444240 is an apocalyptic number.

230032404444240 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 230032404444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437358250137600).

230032404444240 is an abundant number, since it is smaller than the sum of its proper divisors (644684095830960).

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

230032404444240 is a wasteful number, since it uses less digits than its factorization.

230032404444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237312 (or 1237300 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 230032404444240 its reverse (42444404230032), we get a palindrome (272476808674272).

The spelling of 230032404444240 in words is "two hundred thirty trillion, thirty-two billion, four hundred four million, four hundred forty-four thousand, two hundred forty".