Search a number
-
+
143144064 = 273376197
BaseRepresentation
bin10001000100000…
…11010010000000
3100222100110202000
420202003102000
5243121102224
622112024000
73355463430
oct1042032200
9328313660
10143144064
117388a288
123bb32000
132386b43b
14150222c0
15c8780c9
hex8883480

143144064 has 256 divisors, whose sum is σ = 495801600. Its totient is φ = 39813120.

The previous prime is 143144011. The next prime is 143144101. The reversal of 143144064 is 460441341.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1475664 + ... + 1475760.

It is an arithmetic number, because the mean of its divisors is an integer number (1936725).

Almost surely, 2143144064 is an apocalyptic number.

143144064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247900800).

143144064 is an abundant number, since it is smaller than the sum of its proper divisors (352657536).

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

143144064 is an equidigital number, since it uses as much as digits as its factorization.

143144064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 143144064 is about 11964.2828452022. The cubic root of 143144064 is about 523.1077019241.

The spelling of 143144064 in words is "one hundred forty-three million, one hundred forty-four thousand, sixty-four".