Search a number
-
+
5141348480 = 27522213617
BaseRepresentation
bin1001100100111001…
…01100000010000000
3111021022100120020002
410302130230002000
541012141122410
62210100535132
7241256512112
oct46234540200
914238316202
105141348480
1121a9180234
12bb59b14a8
1363c21b948
1436ab773b2
152015777a5
hex13272c080

5141348480 has 64 divisors (see below), whose sum is σ = 12299969880. Its totient is φ = 2055045120.

The previous prime is 5141348413. The next prime is 5141348497. The reversal of 5141348480 is 848431415.

It can be written as a sum of positive squares in 4 ways, for example, as 2854978624 + 2286369856 = 53432^2 + 47816^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1419632 + ... + 1423248.

Almost surely, 25141348480 is an apocalyptic number.

It is an amenable number.

5141348480 is an abundant number, since it is smaller than the sum of its proper divisors (7158621400).

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

5141348480 is a wasteful number, since it uses less digits than its factorization.

5141348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5857 (or 5845 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 5141348480 is about 71703.1971393187. The cubic root of 5141348480 is about 1725.9399461808.

Adding to 5141348480 its reverse (848431415), we get a palindrome (5989779895).

The spelling of 5141348480 in words is "five billion, one hundred forty-one million, three hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 2221 3617 4442 7234 8884 11105 14468 17768 18085 22210 28936 35536 36170 44420 57872 71072 72340 88840 115744 142144 144680 177680 231488 284288 289360 355360 462976 578720 710720 1157440 1421440 2314880 8033357 16066714 32133428 40166785 64266856 80333570 128533712 160667140 257067424 321334280 514134848 642668560 1028269696 1285337120 2570674240 5141348480