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243297941328 = 24312133171
BaseRepresentation
bin1110001010010110101…
…1111111011101010000
3212020222212000000000000
43202211223333131100
512441233233110303
6303434115130000
723402102244051
oct3424553773520
9766885000000
10243297941328
1194200388392
123b19bba3900
1319c347129c0
14bac0690728
1564de753da3
hex38a5aff750

243297941328 has 520 divisors, whose sum is σ = 797109981696. Its totient is φ = 71425670400.

The previous prime is 243297941291. The next prime is 243297941329. The reversal of 243297941328 is 823149792342.

It is a happy number.

243297941328 is a `hidden beast` number, since 2 + 432 + 9 + 79 + 4 + 132 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243297941329) by changing a digit.

It is a polite number, since it can be written in 103 ways as a sum of consecutive naturals, for example, 3426731533 + ... + 3426731603.

Almost surely, 2243297941328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243297941328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398554990848).

243297941328 is an abundant number, since it is smaller than the sum of its proper divisors (553812040368).

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

243297941328 is an frugal number, since it uses more digits than its factorization.

243297941328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 120 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 243297941328 in words is "two hundred forty-three billion, two hundred ninety-seven million, nine hundred forty-one thousand, three hundred twenty-eight".