Search a number
-
+
1202408743936 = 210342672
BaseRepresentation
bin10001011111110101001…
…001010110010000000000
311020221121221011222110211
4101133311021112100000
5124200013114301221
62320213504203504
7152604544455061
oct21376511262000
94227557158424
101202408743936
11423a36431064
12175050309594
138950464558a
14422a83c2568
15214263dc6e1
hex117f5256400

1202408743936 has 33 divisors (see below), whose sum is σ = 2403713407179. Its totient is φ = 601186827264.

The previous prime is 1202408743931. The next prime is 1202408743957. The reversal of 1202408743936 is 6393478042021.

The square root of 1202408743936 is 1096544.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1202408743936.

It is not an unprimeable number, because it can be changed into a prime (1202408743931) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 35072275 + ... + 35106541.

Almost surely, 21202408743936 is an apocalyptic number.

1202408743936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1202408743936 is the 1096544-th square number.

It is an amenable number.

1202408743936 is a deficient number, since it is larger than the sum of its proper divisors (1201304663243).

1202408743936 is an frugal number, since it uses more digits than its factorization.

1202408743936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68554 (or 34269 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

Multiplying 1202408743936 by its sum of digits (49), we get a square (58918028452864 = 76758082).

The spelling of 1202408743936 in words is "one trillion, two hundred two billion, four hundred eight million, seven hundred forty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 34267 68534 137068 274136 548272 1096544 2193088 4386176 8772352 17544704 35089408 1174227289 2348454578 4696909156 9393818312 18787636624 37575273248 75150546496 150301092992 300602185984 601204371968 1202408743936