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241423104224 = 25174711383561
BaseRepresentation
bin1110000011010111110…
…0000011100011100000
3212002011012011101222202
43200311330003203200
512423413303313344
6302524102552332
723304455345501
oct3406574034340
9762135141882
10241423104224
1193429059535
123a9581386a8
13199c617c533
14b983696ba8
15642ed6694e
hex3835f038e0

241423104224 has 96 divisors (see below), whose sum is σ = 518522933376. Its totient is φ = 110208286720.

The previous prime is 241423104161. The next prime is 241423104253. The reversal of 241423104224 is 422401324142.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2847404 + ... + 2930964.

It is an arithmetic number, because the mean of its divisors is an integer number (5401280556).

Almost surely, 2241423104224 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 241423104224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259261466688).

241423104224 is an abundant number, since it is smaller than the sum of its proper divisors (277099829152).

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

241423104224 is a wasteful number, since it uses less digits than its factorization.

241423104224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83748 (or 83740 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 241423104224 its reverse (422401324142), we get a palindrome (663824428366).

The spelling of 241423104224 in words is "two hundred forty-one billion, four hundred twenty-three million, one hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 47 68 94 113 136 188 226 272 376 452 544 752 799 904 1504 1598 1808 1921 3196 3616 3842 5311 6392 7684 10622 12784 15368 21244 25568 30736 42488 61472 83561 84976 90287 167122 169952 180574 334244 361148 668488 722296 1336976 1420537 1444592 2673952 2841074 2889184 3927367 5682148 7854734 9442393 11364296 15709468 18884786 22728592 31418936 37769572 45457184 62837872 66765239 75539144 125675744 133530478 151078288 160520681 267060956 302156576 321041362 443792471 534121912 642082724 887584942 1068243824 1284165448 1775169884 2136487648 2568330896 3550339768 5136661792 7100679536 7544472007 14201359072 15088944014 30177888028 60355776056 120711552112 241423104224