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30243719326041 = 32134108472
BaseRepresentation
bin1101110000001101010100…
…01001011010100101011001
310222002021022210121022122100
412320012222021122211121
512431003114121413131
6144153434534114013
76241015362442164
oct670065211324531
9128067283538570
1030243719326041
11970032011aa71
1234855284ab909
1313b4c80240000
14767b379aaadb
15376a965177e6
hex1b81aa25a959

30243719326041 has 45 divisors (see below), whose sum is σ = 47330056017881. Its totient is φ = 18609803763408.

The previous prime is 30243719325997. The next prime is 30243719326061. The reversal of 30243719326041 is 14062391734203.

The square root of 30243719326041 is 5499429.

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

30243719326041 is a `hidden beast` number, since 3 + 0 + 2 + 4 + 3 + 7 + 1 + 9 + 32 + 604 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14995319119641 + 15248400206400 = 3872379^2 + 3904920^2 .

It is not a de Polignac number, because 30243719326041 - 213 = 30243719317849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30243719326061) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2788205080 + ... + 2788215926.

Almost surely, 230243719326041 is an apocalyptic number.

30243719326041 is the 5499429-th square number.

30243719326041 is the 2749715-th centered octagonal number.

It is an amenable number.

30243719326041 is a deficient number, since it is larger than the sum of its proper divisors (17086336691840).

30243719326041 is an frugal number, since it uses more digits than its factorization.

30243719326041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21752 (or 10863 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 30243719326041 in words is "thirty trillion, two hundred forty-three billion, seven hundred nineteen million, three hundred twenty-six thousand, forty-one".

Divisors: 1 3 9 13 39 117 169 507 1521 2197 6591 10847 19773 28561 32541 85683 97623 141011 257049 423033 1269099 1833143 5499429 16498287 23830859 71492577 117657409 214477731 309801167 352972227 929403501 1058916681 1529546317 2788210503 4588638951 13765916853 19884102121 59652306363 178956919089 258493327573 775479982719 2326439948157 3360413258449 10081239775347 30243719326041