Search a number
-
+
4144151504 = 242959151379
BaseRepresentation
bin1111011100000010…
…1011101111010000
3101200210221201010202
43313000223233100
531441400322004
61523115314332
7204460464233
oct36700535720
911623851122
104144151504
1118372a13a9
12977a4b9a8
1351075356c
142b455941a
15193c4bb1e
hexf702bbd0

4144151504 has 40 divisors (see below), whose sum is σ = 8447004000. Its totient is φ = 1966702976.

The previous prime is 4144151447. The next prime is 4144151507. The reversal of 4144151504 is 4051514414.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144151507) 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 7 ways as a sum of consecutive naturals, for example, 48314 + ... + 103065.

It is an arithmetic number, because the mean of its divisors is an integer number (211175100).

Almost surely, 24144151504 is an apocalyptic number.

It is an amenable number.

4144151504 is an abundant number, since it is smaller than the sum of its proper divisors (4302852496).

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

4144151504 is a wasteful number, since it uses less digits than its factorization.

4144151504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151475 (or 151469 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The square root of 4144151504 is about 64375.0844970319. The cubic root of 4144151504 is about 1606.2453178685.

Adding to 4144151504 its reverse (4051514414), we get a palindrome (8195665918).

The spelling of 4144151504 in words is "four billion, one hundred forty-four million, one hundred fifty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 29 58 59 116 118 232 236 464 472 944 1711 3422 6844 13688 27376 151379 302758 605516 1211032 2422064 4389991 8779982 8931361 17559964 17862722 35119928 35725444 70239856 71450888 142901776 259009469 518018938 1036037876 2072075752 4144151504