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241043442433020 = 223252777482221907
BaseRepresentation
bin110110110011101001001100…
…110000101111101111111100
31011121110112020221120202012200
4312303221030300233233330
5223043223432230324040
62212353455002231500
7101525546131616133
oct6663511460575774
91147415227522180
10241043442433020
116a892a4a29a217
122304ba011b5590
13a4663b7136636
1443747c9da891a
151cd015e344630
hexdb3a4cc2fbfc

241043442433020 has 72 divisors (see below), whose sum is σ = 731428403391504. Its totient is φ = 64255104530688.

The previous prime is 241043442433009. The next prime is 241043442433103. The reversal of 241043442433020 is 20334244340142.

241043442433020 is a `hidden beast` number, since 2 + 4 + 1 + 0 + 4 + 344 + 2 + 4 + 3 + 302 + 0 = 666.

It is a super-2 number, since 2×2410434424330202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240611094 + ... + 241610813.

It is an arithmetic number, because the mean of its divisors is an integer number (10158727824882).

Almost surely, 2241043442433020 is an apocalyptic number.

241043442433020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241043442433020 is an abundant number, since it is smaller than the sum of its proper divisors (490384960958484).

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

241043442433020 is a wasteful number, since it uses less digits than its factorization.

241043442433020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482224699 (or 482224694 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 241043442433020 its reverse (20334244340142), we get a palindrome (261377686773162).

The spelling of 241043442433020 in words is "two hundred forty-one trillion, forty-three billion, four hundred forty-two million, four hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2777 5554 8331 11108 13885 16662 24993 27770 33324 41655 49986 55540 83310 99972 124965 166620 249930 499860 482221907 964443814 1446665721 1928887628 2411109535 2893331442 4339997163 4822219070 5786662884 7233328605 8679994326 9644438140 14466657210 17359988652 21699985815 28933314420 43399971630 86799943260 1339130235739 2678260471478 4017390707217 5356520942956 6695651178695 8034781414434 12052172121651 13391302357390 16069562828868 20086953536085 24104344243302 26782604714780 40173907072170 48208688486604 60260860608255 80347814144340 120521721216510 241043442433020