Search a number
-
+
3053364822544 = 24389211232
BaseRepresentation
bin101100011011101010101…
…110011100001000010000
3101210220021020121010212011
4230123222232130020100
5400011242343310134
610254410232512304
7433412140523101
oct54335256341020
911726236533764
103053364822544
11a77a19928803
1241391984b694
13191c14729c8a
14a7ad84783a8
15546596e3264
hex2c6eab9c210

3053364822544 has 45 divisors (see below), whose sum is σ = 5936427611373. Its totient is φ = 1521401804736.

The previous prime is 3053364822503. The next prime is 3053364822569. The reversal of 3053364822544 is 4452284633503.

The square root of 3053364822544 is 1747388.

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., 720780624144 + 2332584198400 = 848988^2 + 1527280^2 .

It is a super-2 number, since 2×30533648225442 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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, 2718935167 + ... + 2718936289.

Almost surely, 23053364822544 is an apocalyptic number.

3053364822544 is the 1747388-th square number.

It is an amenable number.

3053364822544 is a deficient number, since it is larger than the sum of its proper divisors (2883062788829).

3053364822544 is an frugal number, since it uses more digits than its factorization.

3053364822544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 49.

Multiplying 3053364822544 by its sum of digits (49), we get a square (149614876304656 = 122317162).

The spelling of 3053364822544 in words is "three trillion, fifty-three billion, three hundred sixty-four million, eight hundred twenty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 389 778 1123 1556 2246 3112 4492 6224 8984 17968 151321 302642 436847 605284 873694 1210568 1261129 1747388 2421136 2522258 3494776 5044516 6989552 10089032 20178064 169933483 339866966 490579181 679733932 981158362 1359467864 1962316724 2718935728 3924633448 7849266896 190835301409 381670602818 763341205636 1526682411272 3053364822544