Search a number
-
+
1301032144 = 241917923909
BaseRepresentation
bin100110110001100…
…0010110011010000
310100200010021120201
41031203002303100
510131031012034
6333033344544
744145406426
oct11543026320
93320107521
101301032144
11608442785
12303868154
13179709a09
14c4b0d116
1579346014
hex4d8c2cd0

1301032144 has 40 divisors (see below), whose sum is σ = 2668356000. Its totient is φ = 612809856.

The previous prime is 1301032129. The next prime is 1301032189. The reversal of 1301032144 is 4412301031.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42462 + ... + 66370.

It is an arithmetic number, because the mean of its divisors is an integer number (66708900).

Almost surely, 21301032144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301032144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334178000).

1301032144 is an abundant number, since it is smaller than the sum of its proper divisors (1367323856).

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

1301032144 is a wasteful number, since it uses less digits than its factorization.

1301032144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24115 (or 24109 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1301032144 is about 36069.8231767221. The cubic root of 1301032144 is about 1091.6816462978.

Adding to 1301032144 its reverse (4412301031), we get a palindrome (5713333175).

It can be divided in two parts, 13010 and 32144, that added together give a palindrome (45154).

The spelling of 1301032144 in words is "one billion, three hundred one million, thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 152 179 304 358 716 1432 2864 3401 6802 13604 23909 27208 47818 54416 95636 191272 382544 454271 908542 1817084 3634168 4279711 7268336 8559422 17118844 34237688 68475376 81314509 162629018 325258036 650516072 1301032144