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4241241020331 = 34763171184129
BaseRepresentation
bin111101101101111101101…
…010100001011110101011
3120000110101101020021210000
4331231331222201132223
51023442030200122311
613004222122154043
7615263622564030
oct75557552413653
916013341207700
104241241020331
111395777a94847
12585b93052923
13249c41324703
141093c4759387
15754ced56056
hex3db7daa17ab

4241241020331 has 40 divisors (see below), whose sum is σ = 7241930673120. Its totient is φ = 2423180593152.

The previous prime is 4241241020323. The next prime is 4241241020389. The reversal of 4241241020331 is 1330201421424.

4241241020331 is a `hidden beast` number, since 4 + 2 + 4 + 12 + 410 + 203 + 31 = 666.

It is not a de Polignac number, because 4241241020331 - 23 = 4241241020323 is a prime.

It is a super-2 number, since 2×42412410203312 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4241241020295 and 4241241020304.

It is not an unprimeable number, because it can be changed into a prime (4241241020311) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2989675 + ... + 4173803.

It is an arithmetic number, because the mean of its divisors is an integer number (181048266828).

Almost surely, 24241241020331 is an apocalyptic number.

4241241020331 is a deficient number, since it is larger than the sum of its proper divisors (3000689652789).

4241241020331 is a wasteful number, since it uses less digits than its factorization.

4241241020331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190465 (or 1190456 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4241241020331 its reverse (1330201421424), we get a palindrome (5571442441755).

The spelling of 4241241020331 in words is "four trillion, two hundred forty-one billion, two hundred forty-one million, twenty thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 6317 18951 44219 56853 132657 170559 397971 511677 1184129 1193913 3552387 3581739 8288903 10657161 24866709 31971483 74600127 95914449 223800381 671401143 7480142893 22440428679 52361000251 67321286037 157083000753 201963858111 471249002259 605891574333 1413747006777 4241241020331