Search a number
-
+
1142004400 = 245216571723
BaseRepresentation
bin100010000010001…
…1001101010110000
32221120212211112021
41010010121222300
54314323120100
6305153041224
740204606615
oct10404315260
92846784467
101142004400
115366a4899
1227a556214
13152799964
14ab95450c
156a3d1a1a
hex44119ab0

1142004400 has 60 divisors (see below), whose sum is σ = 2746914712. Its totient is φ = 456261120.

The previous prime is 1142004343. The next prime is 1142004403. The reversal of 1142004400 is 44002411.

1142004400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1142004403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 661939 + ... + 663661.

Almost surely, 21142004400 is an apocalyptic number.

1142004400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142004400 is an abundant number, since it is smaller than the sum of its proper divisors (1604910312).

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

1142004400 is a wasteful number, since it uses less digits than its factorization.

1142004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3398 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1142004400 is about 33793.5555986641. Note that the first 4 decimals coincide. The cubic root of 1142004400 is about 1045.2558152131.

Adding to 1142004400 its reverse (44002411), we get a palindrome (1186006811).

The spelling of 1142004400 in words is "one billion, one hundred forty-two million, four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1657 1723 3314 3446 6628 6892 8285 8615 13256 13784 16570 17230 26512 27568 33140 34460 41425 43075 66280 68920 82850 86150 132560 137840 165700 172300 331400 344600 662800 689200 2855011 5710022 11420044 14275055 22840088 28550110 45680176 57100220 71375275 114200440 142750550 228400880 285501100 571002200 1142004400