Search a number
-
+
5142404240 = 245173371561
BaseRepresentation
bin1001100101000001…
…01101110010010000
3111021101100012110022
410302200231302100
541012423413430
62210135323012
7241301500121
oct46240556220
914241305408
105142404240
1121a9831466
12bb6220468
1363c4cb35c
1436ad70048
152016d54e5
hex13282dc90

5142404240 has 40 divisors (see below), whose sum is σ = 12025232568. Its totient is φ = 2045066240.

The previous prime is 5142404237. The next prime is 5142404243. The reversal of 5142404240 is 424042415.

It is an interprime number because it is at equal distance from previous prime (5142404237) and next prime (5142404243).

It can be written as a sum of positive squares in 4 ways, for example, as 1123858576 + 4018545664 = 33524^2 + 63392^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (5142404243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171941 + ... + 199620.

Almost surely, 25142404240 is an apocalyptic number.

It is an amenable number.

5142404240 is an abundant number, since it is smaller than the sum of its proper divisors (6882828328).

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

5142404240 is a wasteful number, since it uses less digits than its factorization.

5142404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371747 (or 371741 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The square root of 5142404240 is about 71710.5587762360. The cubic root of 5142404240 is about 1726.0580769042.

Adding to 5142404240 its reverse (424042415), we get a palindrome (5566446655).

The spelling of 5142404240 in words is "five billion, one hundred forty-two million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 692 865 1384 1730 2768 3460 6920 13840 371561 743122 1486244 1857805 2972488 3715610 5944976 7431220 14862440 29724880 64280053 128560106 257120212 321400265 514240424 642800530 1028480848 1285601060 2571202120 5142404240