Search a number
-
+
44658318905344 = 2121044172
BaseRepresentation
bin10100010011101110100110…
…01111000001000000000000
312212010021221000210010011001
422021313103033001000000
521323140214114432334
6234551425401101344
712256312526320024
oct1211672317010000
9185107830703131
1044658318905344
1113258539866a71
1250130b8787854
131bbc3523c03c1
14b0568d18c384
155269ea8ca714
hex289dd33c1000

44658318905344 has 39 divisors (see below), whose sum is σ = 89306590188637. Its totient is φ = 22328945606656.

The previous prime is 44658318905339. The next prime is 44658318905371. The reversal of 44658318905344 is 44350981385644.

The square root of 44658318905344 is 6682688.

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., 7386219417600 + 37272099487744 = 2717760^2 + 6105088^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 427639824 + ... + 427744240.

Almost surely, 244658318905344 is an apocalyptic number.

44658318905344 is the 6682688-th square number.

It is an amenable number.

44658318905344 is a deficient number, since it is larger than the sum of its proper divisors (44648271283293).

44658318905344 is an frugal number, since it uses more digits than its factorization.

44658318905344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208858 (or 104419 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 64.

44658318905344 divided by its sum of digits (64) gives a square (697786232896 = 8353362).

The spelling of 44658318905344 in words is "forty-four trillion, six hundred fifty-eight billion, three hundred eighteen million, nine hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 104417 208834 417668 835336 1670672 3341344 6682688 13365376 26730752 53461504 106923008 213846016 427692032 10902909889 21805819778 43611639556 87223279112 174446558224 348893116448 697786232896 1395572465792 2791144931584 5582289863168 11164579726336 22329159452672 44658318905344