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423165862144 = 2810923732
BaseRepresentation
bin1100010100001101010…
…01101010000100000000
31111110021011020002200001
412022012221222010000
523413120430042034
6522222201005344
742400305323464
oct6120651520400
91443234202601
10423165862144
11153511108513
126a019483854
1330b9ab9128c
14166a4b084a4
15b01a56ca14
hex6286a6a100

423165862144 has 81 divisors (see below), whose sum is σ = 854790821703. Its totient is φ = 209079760896.

The previous prime is 423165862109. The next prime is 423165862157. The reversal of 423165862144 is 441268561324.

The square root of 423165862144 is 650512.

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

It can be written as a sum of positive squares in 4 ways, for example, as 25115910400 + 398049951744 = 158480^2 + 630912^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 423165862094 and 423165862103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1134492742 + ... + 1134493114.

Almost surely, 2423165862144 is an apocalyptic number.

423165862144 is the 650512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423165862144

423165862144 is an abundant number, since it is smaller than the sum of its proper divisors (431624959559).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

423165862144 is an frugal number, since it uses more digits than its factorization.

423165862144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 484 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 46.

The spelling of 423165862144 in words is "four hundred twenty-three billion, one hundred sixty-five million, eight hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 109 128 218 256 373 436 746 872 1492 1744 2984 3488 5968 6976 11881 11936 13952 23762 23872 27904 40657 47524 47744 81314 95048 95488 139129 162628 190096 278258 325256 380192 556516 650512 760384 1113032 1301024 1520768 2226064 2602048 3041536 4431613 4452128 5204096 8863226 8904256 10408192 15165061 17726452 17808512 30330122 35452904 35617024 60660244 70905808 121320488 141811616 242640976 283623232 485281952 567246464 970563904 1134492928 1652991649 1941127808 3305983298 3882255616 6611966596 13223933192 26447866384 52895732768 105791465536 211582931072 423165862144