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241283805136 = 241117439183697
BaseRepresentation
bin1110000010110110100…
…0101010111111010000
3212001210111001021120021
43200231220222333100
512423122123231021
6302502205153224
723301144334633
oct3405550527720
9761714037507
10241283805136
1193367466020
123a91955b814
13199a335923a
14b96cd95c1a
1564229ecc41
hex382da2afd0

241283805136 has 80 divisors (see below), whose sum is σ = 541218395520. Its totient is φ = 102987325440.

The previous prime is 241283805127. The next prime is 241283805149. The reversal of 241283805136 is 631508382142.

241283805136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 241283805092 and 241283805101.

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 15 ways as a sum of consecutive naturals, for example, 1221640 + ... + 1405336.

It is an arithmetic number, because the mean of its divisors is an integer number (6765229944).

Almost surely, 2241283805136 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 241283805136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270609197760).

241283805136 is an abundant number, since it is smaller than the sum of its proper divisors (299934590384).

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

241283805136 is a wasteful number, since it uses less digits than its factorization.

241283805136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184172 (or 184166 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 241283805136 in words is "two hundred forty-one billion, two hundred eighty-three million, eight hundred five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 439 748 878 1496 1756 2992 3512 4829 7024 7463 9658 14926 19316 29852 38632 59704 77264 82093 119408 164186 183697 328372 367394 656744 734788 1313488 1469576 2020667 2939152 3122849 4041334 6245698 8082668 12491396 16165336 24982792 32330672 34351339 49965584 68702678 80642983 137405356 161285966 274810712 322571932 549621424 645143864 887072813 1290287728 1370930711 1774145626 2741861422 3548291252 5483722844 7096582504 10967445688 14193165008 15080237821 21934891376 30160475642 60320951284 120641902568 241283805136