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230032301040 = 2432559113173277
BaseRepresentation
bin1101011000111011111…
…1100101101111110000
3210222202100100122120100
43112032333211233300
512232101232113130
6253401514312400
722422262203663
oct3261677455760
9728670318510
10230032301040
1189613267503
12386b9428700
13188cc2b36c9
14b1c29376da
155eb4d2dc60
hex358efe5bf0

230032301040 has 480 divisors, whose sum is σ = 800030312640. Its totient is φ = 59208597504.

The previous prime is 230032300999. The next prime is 230032301063. The reversal of 230032301040 is 40103230032.

230032301040 is a `hidden beast` number, since 2 + 300 + 323 + 0 + 1 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 830441382 + ... + 830441658.

It is an arithmetic number, because the mean of its divisors is an integer number (1666729818).

Almost surely, 2230032301040 is an apocalyptic number.

230032301040 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 230032301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400015156320).

230032301040 is an abundant number, since it is smaller than the sum of its proper divisors (569998011600).

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

230032301040 is a wasteful number, since it uses less digits than its factorization.

230032301040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 230032301040 its reverse (40103230032), we get a palindrome (270135531072).

The spelling of 230032301040 in words is "two hundred thirty billion, thirty-two million, three hundred one thousand, forty".