Search a number
-
+
12343200144 = 2431127186263
BaseRepresentation
bin10110111111011011…
…00100100110010000
31011212012220112102220
423133231210212100
5200234324401034
65400445341040
7614606320152
oct133755444620
934765815386
1012343200144
115264461a60
122485867780
1312192a9932
14851438ad2
154c3964749
hex2dfb64990

12343200144 has 80 divisors (see below), whose sum is σ = 34914146304. Its totient is φ = 3726518400.

The previous prime is 12343200091. The next prime is 12343200151. The reversal of 12343200144 is 44100234321.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99957 + ... + 186219.

Almost surely, 212343200144 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 12343200144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17457073152).

12343200144 is an abundant number, since it is smaller than the sum of its proper divisors (22570946160).

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

12343200144 is a wasteful number, since it uses less digits than its factorization.

12343200144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86556 (or 86550 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12343200144 its reverse (44100234321), we get a palindrome (56443434465).

The spelling of 12343200144 in words is "twelve billion, three hundred forty-three million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 271 528 542 813 1084 1626 2168 2981 3252 4336 5962 6504 8943 11924 13008 17886 23848 35772 47696 71544 86263 143088 172526 258789 345052 517578 690104 948893 1035156 1380208 1897786 2070312 2846679 3795572 4140624 5693358 7591144 11386716 15182288 22773432 23377273 45546864 46754546 70131819 93509092 140263638 187018184 257150003 280527276 374036368 514300006 561054552 771450009 1028600012 1122109104 1542900018 2057200024 3085800036 4114400048 6171600072 12343200144