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10042060304241 = 32721509012
BaseRepresentation
bin1001001000100001100101…
…1011111110111101110001
31022120000022110010002102100
42102020121123332331301
52304012114414213431
633205131523211013
72054341421132100
oct222103133767561
938500273102370
1010042060304241
1132218a5278139
121162275816a69
1357ac6800a704
1426a0771b2037
1512633c7504e6
hex922196fef71

10042060304241 has 27 divisors (see below), whose sum is σ = 16873505662923. Its totient is φ = 5738282146800.

The previous prime is 10042060304201. The next prime is 10042060304261. The reversal of 10042060304241 is 14240306024001.

It is a happy number.

The square root of 10042060304241 is 3168921.

It is a perfect power (a square), and thus also a powerful number.

10042060304241 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 206 + 0 + 30 + 424 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7321737868641 + 2720322435600 = 2705871^2 + 1649340^2 .

It is not a de Polignac number, because 10042060304241 - 29 = 10042060303729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10042060304201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 66471891 + ... + 66622791.

Almost surely, 210042060304241 is an apocalyptic number.

10042060304241 is the 3168921-st square number.

10042060304241 is the 1584461-st centered octagonal number.

It is an amenable number.

10042060304241 is a deficient number, since it is larger than the sum of its proper divisors (6831445358682).

10042060304241 is an frugal number, since it uses more digits than its factorization.

10042060304241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301822 (or 150911 counting only the distinct ones).

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

Adding to 10042060304241 its reverse (14240306024001), we get a palindrome (24282366328242).

The spelling of 10042060304241 in words is "ten trillion, forty-two billion, sixty million, three hundred four thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 150901 452703 1056307 1358109 3168921 7394149 9506763 22182447 66547341 22771111801 68313335403 159397782607 204940006209 478193347821 1115784478249 1434580043463 3347353434747 10042060304241