Search a number
-
+
1023400144 = 24134920193
BaseRepresentation
bin111100111111111…
…101100011010000
32122022201010002001
4330333331203100
54043442301034
6245315003344
734234520614
oct7477754320
92568633061
101023400144
11485756748
12246899554
13134041120
1499cbd344
155eca4a14
hex3cffd8d0

1023400144 has 20 divisors (see below), whose sum is σ = 2135364196. Its totient is φ = 472338432.

The previous prime is 1023400127. The next prime is 1023400159. The reversal of 1023400144 is 4410043201.

It can be written as a sum of positive squares in 2 ways, for example, as 91929744 + 931470400 = 9588^2 + 30520^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2459889 + ... + 2460304.

Almost surely, 21023400144 is an apocalyptic number.

It is an amenable number.

1023400144 is an abundant number, since it is smaller than the sum of its proper divisors (1111964052).

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

1023400144 is a wasteful number, since it uses less digits than its factorization.

1023400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4920214 (or 4920208 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1023400144 is about 31990.6258769659. The cubic root of 1023400144 is about 1007.7399860551.

Adding to 1023400144 its reverse (4410043201), we get a palindrome (5433443345).

The spelling of 1023400144 in words is "one billion, twenty-three million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 4920193 9840386 19680772 39361544 63962509 78723088 127925018 255850036 511700072 1023400144