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241041144 = 23319243647
BaseRepresentation
bin11100101110111…
…11111011111000
3121210120011021210
432113133323320
5443201304034
635530203120
75654546601
oct1627377370
9553504253
10241041144
11114074863
12688834a0
133ac269c6
1424026da8
15162648e9
hexe5dfef8

241041144 has 96 divisors (see below), whose sum is σ = 651784320. Its totient is φ = 74233152.

The previous prime is 241041107. The next prime is 241041161. The reversal of 241041144 is 441140142.

It is a self number, because there is not a number n which added to its sum of digits gives 241041144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 372229 + ... + 372875.

It is an arithmetic number, because the mean of its divisors is an integer number (6789420).

Almost surely, 2241041144 is an apocalyptic number.

241041144 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 241041144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325892160).

241041144 is an abundant number, since it is smaller than the sum of its proper divisors (410743176).

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

241041144 is a wasteful number, since it uses less digits than its factorization.

241041144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 241041144 is about 15525.4997987182. The cubic root of 241041144 is about 622.3438372168.

Adding to 241041144 its reverse (441140142), we get a palindrome (682181286).

The spelling of 241041144 in words is "two hundred forty-one million, forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 43 57 76 86 114 129 152 172 228 258 344 361 456 516 647 722 817 1032 1083 1294 1444 1634 1941 2166 2451 2588 2888 3268 3882 4332 4902 5176 6536 7764 8664 9804 12293 15523 15528 19608 24586 27821 31046 36879 46569 49172 55642 62092 73758 83463 93138 98344 111284 124184 147516 166926 186276 222568 233567 295032 333852 372552 467134 528599 667704 700701 934268 1057198 1401402 1585797 1868536 2114396 2802804 3171594 4228792 5605608 6343188 10043381 12686376 20086762 30130143 40173524 60260286 80347048 120520572 241041144