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241240242420 = 223251543868583
BaseRepresentation
bin1110000010101100001…
…0011111100011110100
3212001200110002001202100
43200223002133203310
512423030000224140
6302454011342100
723300105140632
oct3405302374364
9761613061670
10241240242420
1193344911781
123a906a51930
1319997315b98
14b967296352
15641dc95530
hex382b09f8f4

241240242420 has 72 divisors (see below), whose sum is σ = 732237158016. Its totient is φ = 64288965312.

The previous prime is 241240242389. The next prime is 241240242433. The reversal of 241240242420 is 24242042142.

241240242420 is a `hidden beast` number, since 2 + 4 + 12 + 402 + 4 + 242 + 0 = 666.

241240242420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156552 + ... + 712031.

It is an arithmetic number, because the mean of its divisors is an integer number (10169960528).

Almost surely, 2241240242420 is an apocalyptic number.

241240242420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241240242420 is an abundant number, since it is smaller than the sum of its proper divisors (490996915596).

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

241240242420 is a wasteful number, since it uses less digits than its factorization.

241240242420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870141 (or 870136 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 241240242420 its reverse (24242042142), we get a palindrome (265482284562).

The spelling of 241240242420 in words is "two hundred forty-one billion, two hundred forty million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1543 3086 4629 6172 7715 9258 13887 15430 18516 23145 27774 30860 46290 55548 69435 92580 138870 277740 868583 1737166 2605749 3474332 4342915 5211498 7817247 8685830 10422996 13028745 15634494 17371660 26057490 31268988 39086235 52114980 78172470 156344940 1340223569 2680447138 4020670707 5360894276 6701117845 8041341414 12062012121 13402235690 16082682828 20103353535 24124024242 26804471380 40206707070 48248048484 60310060605 80413414140 120620121210 241240242420