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430232358241 = 72937032
BaseRepresentation
bin1100100001010111101…
…10001100110101100001
31112010111122002021221201
412100223312030311201
524022103440430431
6525351312321201
743040362464100
oct6205366146541
91463448067851
10430232358241
11156507a4a634
126b46bb43201
1331755ba9c0a
1416b75414037
15b2d0b1e461
hex642bd8cd61

430232358241 has 9 divisors (see below), whose sum is σ = 500479717041. Its totient is φ = 368766657252.

The previous prime is 430232358223. The next prime is 430232358253. The reversal of 430232358241 is 142853232034.

The square root of 430232358241 is 655921.

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

It is a de Polignac number, because none of the positive numbers 2k-430232358241 is a prime.

It is a super-2 number, since 2×4302323582412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 430232358241.

It is not an unprimeable number, because it can be changed into a prime (430232358221) 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, 4544596 + ... + 4638298.

It is an arithmetic number, because the mean of its divisors is an integer number (55608857449).

Almost surely, 2430232358241 is an apocalyptic number.

430232358241 is the 655921-st square number.

430232358241 is the 327961-st centered octagonal number.

It is an amenable number.

430232358241 is a deficient number, since it is larger than the sum of its proper divisors (70247358800).

430232358241 is an frugal number, since it uses more digits than its factorization.

430232358241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187420 (or 93710 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 430232358241 in words is "four hundred thirty billion, two hundred thirty-two million, three hundred fifty-eight thousand, two hundred forty-one".

Divisors: 1 7 49 93703 655921 4591447 8780252209 61461765463 430232358241