Search a number
-
+
5141388240 = 243257140817
BaseRepresentation
bin1001100100111001…
…10101101111010000
3111021022102120202200
410302130311233100
541012143410430
62210101443200
7241260036042
oct46234655720
914238376680
105141388240
1121a91a809a
12bb5a10500
1363c233a81
1436ab87a92
15201584460
hex132735bd0

5141388240 has 60 divisors (see below), whose sum is σ = 17266497924. Its totient is φ = 1371036672.

The previous prime is 5141388227. The next prime is 5141388257. The reversal of 5141388240 is 428831415.

5141388240 is a `hidden beast` number, since 514 + 138 + 8 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2899176336 + 2242211904 = 53844^2 + 47352^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5141388195 and 5141388204.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 3569689 + ... + 3571128.

Almost surely, 25141388240 is an apocalyptic number.

It is an amenable number.

5141388240 is an abundant number, since it is smaller than the sum of its proper divisors (12125109684).

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

5141388240 is a wasteful number, since it uses less digits than its factorization.

5141388240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7140836 (or 7140827 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5141388240 is about 71703.4743928075. The cubic root of 5141388240 is about 1725.9443952857.

The spelling of 5141388240 in words is "five billion, one hundred forty-one million, three hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 7140817 14281634 21422451 28563268 35704085 42844902 57126536 64267353 71408170 85689804 107112255 114253072 128534706 142816340 171379608 214224510 257069412 285632680 321336765 342759216 428449020 514138824 571265360 642673530 856898040 1028277648 1285347060 1713796080 2570694120 5141388240