Search a number
-
+
44365839424 = 2611322332
BaseRepresentation
bin101001010100011010…
…001111110001000000
311020111221011011021221
4221110122033301000
51211330123330144
632214213524424
73130266261424
oct512432176100
9136457134257
1044365839424
11178a73a58a5
128722043714
1342507148ba
14220c352b84
151249e23d84
hexa5468fc40

44365839424 has 63 divisors (see below), whose sum is σ = 89207315743. Its totient is φ = 21892247552.

The previous prime is 44365839319. The next prime is 44365839433. The reversal of 44365839424 is 42493856344.

The square root of 44365839424 is 210632.

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 30195317824 + 14170521600 = 173768^2 + 119040^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 190411212 + ... + 190411444.

Almost surely, 244365839424 is an apocalyptic number.

44365839424 is the 210632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44365839424

44365839424 is an abundant number, since it is smaller than the sum of its proper divisors (44841476319).

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

44365839424 is an frugal number, since it uses more digits than its factorization.

44365839424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 348 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 52.

The spelling of 44365839424 in words is "forty-four billion, three hundred sixty-five million, eight hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 113 226 233 452 466 904 932 1808 1864 3616 3728 7232 7456 12769 14912 25538 26329 51076 52658 54289 102152 105316 108578 204304 210632 217156 408608 421264 434312 817216 842528 868624 1685056 1737248 2975177 3474496 5950354 6134657 11900708 12269314 23801416 24538628 47602832 49077256 95205664 98154512 190411328 196309024 392618048 693216241 1386432482 2772864964 5545729928 11091459856 22182919712 44365839424