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241018426368 = 210352321831
BaseRepresentation
bin1110000001110111010…
…0010101010000000000
3212001002222200122100000
43200131310111100000
512422101204120433
6302420005200000
723261442551616
oct3403564252000
9761088618300
10241018426368
1193240689025
123a864700000
1319960390995
14b945a356b6
15640957c113
hex381dd15400

241018426368 has 396 divisors, whose sum is σ = 754865934368. Its totient is φ = 76804485120.

The previous prime is 241018426361. The next prime is 241018426399. The reversal of 241018426368 is 863624810142.

241018426368 is a `hidden beast` number, since 2 + 4 + 1 + 0 + 1 + 8 + 4 + 2 + 636 + 8 = 666.

It is a super-3 number, since 3×2410184263683 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241018426361) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 131631213 + ... + 131633043.

Almost surely, 2241018426368 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 241018426368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377432967184).

241018426368 is an abundant number, since it is smaller than the sum of its proper divisors (513847508000).

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

241018426368 is an equidigital number, since it uses as much as digits as its factorization.

241018426368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 241018426368 in words is "two hundred forty-one billion, eighteen million, four hundred twenty-six thousand, three hundred sixty-eight".