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230375003040 = 253557131923149
BaseRepresentation
bin1101011010001101101…
…0111001001110100000
3211000122020012201100000
43112203122321032200
512233302000044130
6253455515500000
722433623134120
oct3264332711640
9730566181300
10230375003040
11897797575a6
1238794157600
13189552b2b60
14b216264c80
155ed4e75260
hex35a36b93a0

230375003040 has 2304 divisors, whose sum is σ = 1109541888000. Its totient is φ = 43750637568.

The previous prime is 230375003011. The next prime is 230375003069. The reversal of 230375003040 is 40300573032.

230375003040 is a `hidden beast` number, since 2 + 303 + 7 + 50 + 0 + 304 + 0 = 666.

230375003040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230375003011) and next prime (230375003069).

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 = 230375002995 and 230375003013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1546140886 + ... + 1546141034.

It is an arithmetic number, because the mean of its divisors is an integer number (481572000).

Almost surely, 2230375003040 is an apocalyptic number.

230375003040 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 230375003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554770944000).

230375003040 is an abundant number, since it is smaller than the sum of its proper divisors (879166884960).

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

230375003040 is a wasteful number, since it uses less digits than its factorization.

230375003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

Adding to 230375003040 its reverse (40300573032), we get a palindrome (270675576072).

The spelling of 230375003040 in words is "two hundred thirty billion, three hundred seventy-five million, three thousand, forty".