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324069471441 = 321897572
BaseRepresentation
bin1001011011101000000…
…10111011010011010001
31010222110221212212100100
410231310002323103101
520302143241041231
6404513033243013
732261513025432
oct4556402732321
91128427785310
10324069471441
1111548984a461
1252982263469
132473763ccc1
1411983aa3489
15866a8241e6
hex4b740bb4d1

324069471441 has 9 divisors (see below), whose sum is σ = 468102814491. Its totient is φ = 216045175752.

The previous prime is 324069471433. The next prime is 324069471493. The reversal of 324069471441 is 144174960423.

The square root of 324069471441 is 569271.

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

It can be written as a sum of positive squares in only one way, i.e., 269968572225 + 54100899216 = 519585^2 + 232596^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 324069471441 - 23 = 324069471433 is a prime.

It is a super-2 number, since 2×3240694714412 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (324069471421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1612935 + ... + 1802691.

Almost surely, 2324069471441 is an apocalyptic number.

324069471441 is the 569271-st square number.

324069471441 is the 284636-th centered octagonal number.

It is an amenable number.

324069471441 is a deficient number, since it is larger than the sum of its proper divisors (144033343050).

324069471441 is an frugal number, since it uses more digits than its factorization.

324069471441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379520 (or 189760 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 324069471441 in words is "three hundred twenty-four billion, sixty-nine million, four hundred seventy-one thousand, four hundred forty-one".

Divisors: 1 3 9 189757 569271 1707813 36007719049 108023157147 324069471441