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241013026336 = 2523241347257
BaseRepresentation
bin1110000001110101111…
…1101110111000100000
3212001002121112021212211
43200131133232320200
512422043313320321
6302415253331504
723261345631235
oct3403537567040
9761077467784
10241013026336
119323862a995
123a862936b94
131995c21cab4
14b94502b78c
156408d620e1
hex381d7eee20

241013026336 has 72 divisors (see below), whose sum is σ = 508121101404. Its totient is φ = 112455383040.

The previous prime is 241013026333. The next prime is 241013026361. The reversal of 241013026336 is 633620310142.

It can be written as a sum of positive squares in 2 ways, for example, as 153962064400 + 87050961936 = 392380^2 + 295044^2 .

It is a junction number, because it is equal to n+sod(n) for n = 241013026298 and 241013026307.

It is not an unprimeable number, because it can be changed into a prime (241013026333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 520420 + ... + 867676.

Almost surely, 2241013026336 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 241013026336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254060550702).

241013026336 is an abundant number, since it is smaller than the sum of its proper divisors (267108075068).

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

241013026336 is a wasteful number, since it uses less digits than its factorization.

241013026336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347354 (or 347323 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 241013026336 its reverse (633620310142), we get a palindrome (874633336478).

The spelling of 241013026336 in words is "two hundred forty-one billion, thirteen million, twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 41 46 82 92 164 184 328 368 529 656 736 943 1058 1312 1886 2116 3772 4232 7544 8464 15088 16928 21689 30176 43378 86756 173512 347024 347257 694048 694514 1389028 2778056 5556112 7986911 11112224 14237537 15973822 28475074 31947644 56950148 63895288 113900296 127790576 183698953 227800592 255581152 327463351 367397906 455601184 654926702 734795812 1309853404 1469591624 2619706808 2939183248 5239413616 5878366496 7531657073 10478827232 15063314146 30126628292 60253256584 120506513168 241013026336