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234271099440 = 243257317392029
BaseRepresentation
bin1101101000101110100…
…1010100101000110000
3211101200202101220211200
43122023221110220300
512314241400140230
6255342254411200
722632312326550
oct3321351245060
9741622356750
10234271099440
1190398a23484
12394a0b00b00
1319126525041
14b4a588d160
156162024160
hex368ba54a30

234271099440 has 480 divisors, whose sum is σ = 929873817600. Its totient is φ = 51724707840.

The previous prime is 234271099367. The next prime is 234271099441. The reversal of 234271099440 is 44990172432.

234271099440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (234271099441) 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 95 ways as a sum of consecutive naturals, for example, 115460346 + ... + 115462374.

It is an arithmetic number, because the mean of its divisors is an integer number (1937237120).

Almost surely, 2234271099440 is an apocalyptic number.

234271099440 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 234271099440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464936908800).

234271099440 is an abundant number, since it is smaller than the sum of its proper divisors (695602718160).

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

234271099440 is a wasteful number, since it uses less digits than its factorization.

234271099440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 234271099440 in words is "two hundred thirty-four billion, two hundred seventy-one million, ninety-nine thousand, four hundred forty".