Search a number
-
+
5142262416 = 2433173311021
BaseRepresentation
bin1001100101000000…
…01011001010010000
3111021101001222220120
410302200023022100
541012404344131
62210132310240
7241300336464
oct46240131220
914241058816
105142262416
1121a9744955
12bb6172380
1363c47b935
1436ad344a4
152016a8496
hex13280b290

5142262416 has 80 divisors (see below), whose sum is σ = 13379435328. Its totient is φ = 1701849600.

The previous prime is 5142262399. The next prime is 5142262451. The reversal of 5142262416 is 6142622415.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 5035986 + ... + 5037006.

Almost surely, 25142262416 is an apocalyptic number.

It is an amenable number.

5142262416 is an abundant number, since it is smaller than the sum of its proper divisors (8237172912).

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

5142262416 is a wasteful number, since it uses less digits than its factorization.

5142262416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1674 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 5142262416 is about 71709.5699052783. The cubic root of 5142262416 is about 1726.0422089237.

The spelling of 5142262416 in words is "five billion, one hundred forty-two million, two hundred sixty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 317 331 634 662 951 993 1021 1268 1324 1902 1986 2042 2536 2648 3063 3804 3972 4084 5072 5296 6126 7608 7944 8168 12252 15216 15888 16336 24504 49008 104927 209854 314781 323657 337951 419708 629562 647314 675902 839416 970971 1013853 1259124 1294628 1351804 1678832 1941942 2027706 2518248 2589256 2703608 3883884 4055412 5036496 5178512 5407216 7767768 8110824 15535536 16221648 107130467 214260934 321391401 428521868 642782802 857043736 1285565604 1714087472 2571131208 5142262416