Search a number
-
+
45040205440 = 27583892
BaseRepresentation
bin101001111100100110…
…101111111010000000
311022020221002111120001
4221330212233322000
51214220243033230
632405143525344
73153065300206
oct517446577200
9138227074501
1045040205440
1118113026a8a
12888ba59854
13432a34a349
142273b37076
1512892310ca
hexa7c9afe80

45040205440 has 48 divisors (see below), whose sum is σ = 107687077830. Its totient is φ = 18013934592.

The previous prime is 45040205437. The next prime is 45040205459. The reversal of 45040205440 is 4450204054.

It can be written as a sum of positive squares in 3 ways, for example, as 44920259136 + 119946304 = 211944^2 + 10952^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45040205399 and 45040205408.

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 5 ways as a sum of consecutive naturals, for example, 5364766 + ... + 5373154.

Almost surely, 245040205440 is an apocalyptic number.

45040205440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45040205440 is an abundant number, since it is smaller than the sum of its proper divisors (62646872390).

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

45040205440 is an frugal number, since it uses more digits than its factorization.

45040205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16797 (or 8396 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

Adding to 45040205440 its reverse (4450204054), we get a palindrome (49490409494).

The spelling of 45040205440 in words is "forty-five billion, forty million, two hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 8389 16778 33556 41945 67112 83890 134224 167780 268448 335560 536896 671120 1073792 1342240 2684480 5368960 70375321 140750642 281501284 351876605 563002568 703753210 1126005136 1407506420 2252010272 2815012840 4504020544 5630025680 9008041088 11260051360 22520102720 45040205440