Search a number
-
+
1323132144 = 243712231741
BaseRepresentation
bin100111011011101…
…0110010011110000
310102012201002002020
41032313112103300
510202210212034
6335143151440
744534303055
oct11667262360
93365632066
101323132144
11619967844
1230b145580
13181176c39
14c7a2302c
157b25e249
hex4edd64f0

1323132144 has 80 divisors (see below), whose sum is σ = 3483777024. Its totient is φ = 432633600.

The previous prime is 1323132131. The next prime is 1323132269. The reversal of 1323132144 is 4412313231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 759114 + ... + 760854.

Almost surely, 21323132144 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 1323132144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741888512).

1323132144 is an abundant number, since it is smaller than the sum of its proper divisors (2160644880).

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

1323132144 is a wasteful number, since it uses less digits than its factorization.

1323132144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2040 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 1323132144 is about 36374.8834224936. The cubic root of 1323132144 is about 1097.8282616989.

Adding to 1323132144 its reverse (4412313231), we get a palindrome (5735445375).

The spelling of 1323132144 in words is "one billion, three hundred twenty-three million, one hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 223 284 426 446 568 669 852 892 1136 1338 1704 1741 1784 2676 3408 3482 3568 5223 5352 6964 10446 10704 13928 15833 20892 27856 31666 41784 47499 63332 83568 94998 123611 126664 189996 247222 253328 370833 379992 388243 494444 741666 759984 776486 988888 1164729 1483332 1552972 1977776 2329458 2966664 3105944 4658916 5933328 6211888 9317832 18635664 27565253 55130506 82695759 110261012 165391518 220522024 330783036 441044048 661566072 1323132144