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241005224415141 = 3317618607636859
BaseRepresentation
bin110110110011000101100110…
…110010100100111110100101
31011121022212121110122021122000
4312303011212302210332211
5223042112144422241031
62212324134401355513
7101523024063050364
oct6663054662447645
91147285543567560
10241005224415141
116a87881820977a
1223044516038b99
13a462906305c84
144372a023437db
151cce1740073e6
hexdb3166ca4fa5

241005224415141 has 32 divisors (see below), whose sum is σ = 384244909430400. Its totient is φ = 148739964906240.

The previous prime is 241005224415133. The next prime is 241005224415149. The reversal of 241005224415141 is 141514422500142.

It is a happy number.

241005224415141 is a `hidden beast` number, since 2 + 4 + 1 + 0 + 0 + 5 + 224 + 415 + 14 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (241005224415133) and next prime (241005224415149).

It is not a de Polignac number, because 241005224415141 - 23 = 241005224415133 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 241005224415096 and 241005224415105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241005224415149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4303790431 + ... + 4303846428.

It is an arithmetic number, because the mean of its divisors is an integer number (12007653419700).

Almost surely, 2241005224415141 is an apocalyptic number.

It is an amenable number.

241005224415141 is a deficient number, since it is larger than the sum of its proper divisors (143239685015259).

241005224415141 is a wasteful number, since it uses less digits than its factorization.

241005224415141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8607636946 (or 8607636940 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Adding to 241005224415141 its reverse (141514422500142), we get a palindrome (382519646915283).

The spelling of 241005224415141 in words is "two hundred forty-one trillion, five billion, two hundred twenty-four million, four hundred fifteen thousand, one hundred forty-one".

Divisors: 1 3 9 17 27 51 61 153 183 459 549 1037 1647 3111 9333 27999 8607636859 25822910577 77468731731 146329826603 232406195193 438989479809 525065848399 1316968439427 1575197545197 3950905318281 4725592635591 8926119422783 14176777906773 26778358268349 80335074805047 241005224415141