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241011131142144 = 2123115233409271
BaseRepresentation
bin110110110011001011000110…
…110110111101000000000000
31011121100102212010012002210210
4312303023012312331000000
5223042211244033022034
62212330552443154120
7101523323335311666
oct6663130666750000
91147312763162723
10241011131142144
116a880279423140
12230456a4215940
13a463337c750cc
1443730029d2c36
151cce3bc8688e9
hexdb32c6dbd000

241011131142144 has 208 divisors, whose sum is σ = 702378326536704. Its totient is φ = 72894010982400.

The previous prime is 241011131142137. The next prime is 241011131142181. The reversal of 241011131142144 is 441241131110142.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68988229 + ... + 72397499.

Almost surely, 2241011131142144 is an apocalyptic number.

241011131142144 is a gapful number since it is divisible by the number (24) 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 241011131142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351189163268352).

241011131142144 is an abundant number, since it is smaller than the sum of its proper divisors (461367195394560).

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

241011131142144 is a wasteful number, since it uses less digits than its factorization.

241011131142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3409832 (or 3409810 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

Adding to 241011131142144 its reverse (441241131110142), we get a palindrome (682252262252286).

The spelling of 241011131142144 in words is "two hundred forty-one trillion, eleven billion, one hundred thirty-one million, one hundred forty-two thousand, one hundred forty-four".