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424121143441041 = 32613387612280469
BaseRepresentation
bin110000001101111000110011…
…0000110001011011010010001
32001121200120210201011202110100
41200123301212012023122101
5421042300100210103131
64102010321415323013
7155222512211145204
oct14033614606133221
92047616721152410
10424121143441041
11113157848725612
123b699628980469
13152865b56950b7
1476a3803d5793b
15340756e4dc7e6
hex181bc6618b691

424121143441041 has 24 divisors (see below), whose sum is σ = 622664481980840. Its totient is φ = 278111282284800.

The previous prime is 424121143440989. The next prime is 424121143441043. The reversal of 424121143441041 is 140144341121424.

424121143441041 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 211 + 434 + 4 + 1 + 0 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60746202180225 + 363374941260816 = 7793985^2 + 19062396^2 .

It is not a de Polignac number, because 424121143441041 - 26 = 424121143440977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 424121143440987 and 424121143441005.

It is not an unprimeable number, because it can be changed into a prime (424121143441043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184839555 + ... + 187120023.

Almost surely, 2424121143441041 is an apocalyptic number.

It is an amenable number.

424121143441041 is a deficient number, since it is larger than the sum of its proper divisors (198543338539799).

424121143441041 is a wasteful number, since it uses less digits than its factorization.

424121143441041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2619297 (or 2619294 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 424121143441041 its reverse (140144341121424), we get a palindrome (564265484562465).

The spelling of 424121143441041 in words is "four hundred twenty-four trillion, one hundred twenty-one billion, one hundred forty-three million, four hundred forty-one thousand, forty-one".

Divisors: 1 3 9 61 183 549 338761 1016283 2280469 3048849 6841407 20524221 20664421 61993263 139108609 185979789 417325827 1251977481 772533958909 2317601876727 6952805630181 47124571493449 141373714480347 424121143441041