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230316877440 = 2736513223127
BaseRepresentation
bin1101011001111111110…
…1001010011010000000
3211000111011211122000000
43112133331022122000
512233142110034230
6253450042000000
722432316104536
oct3263775123200
9730434748000
10230316877440
1189749966a11
12387787a6000
1318946241100
14b20c654156
155ecece2b60
hex359ff4a680

230316877440 has 1344 divisors, whose sum is σ = 940121303040. Its totient is φ = 53801459712.

The previous prime is 230316877379. The next prime is 230316877471. The reversal of 230316877440 is 44778613032.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1813518657 + ... + 1813518783.

Almost surely, 2230316877440 is an apocalyptic number.

230316877440 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 230316877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470060651520).

230316877440 is an abundant number, since it is smaller than the sum of its proper divisors (709804425600).

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

230316877440 is a wasteful number, since it uses less digits than its factorization.

230316877440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 230316877440 in words is "two hundred thirty billion, three hundred sixteen million, eight hundred seventy-seven thousand, four hundred forty".