Search a number
-
+
453144144 = 243831071063
BaseRepresentation
bin11011000000100…
…110111001010000
31011120200002220110
4123000212321100
51412001103034
6112544241320
714141442645
oct3300467120
91146602813
10453144144
112128739a2
12107910240
1372b5ab3b
1444279dcc
1529baede9
hex1b026e50

453144144 has 80 divisors (see below), whose sum is σ = 1196923392. Its totient is φ = 147694464.

The previous prime is 453144127. The next prime is 453144151. The reversal of 453144144 is 441441354.

It is a congruent number.

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, 425757 + ... + 426819.

Almost surely, 2453144144 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 453144144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598461696).

453144144 is an abundant number, since it is smaller than the sum of its proper divisors (743779248).

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

453144144 is a wasteful number, since it uses less digits than its factorization.

453144144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1258 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 453144144 is about 21287.1826224139. The cubic root of 453144144 is about 768.0900230845.

Adding to 453144144 its reverse (441441354), we get a palindrome (894585498).

The spelling of 453144144 in words is "four hundred fifty-three million, one hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 107 166 214 249 321 332 428 498 642 664 856 996 1063 1284 1328 1712 1992 2126 2568 3189 3984 4252 5136 6378 8504 8881 12756 17008 17762 25512 26643 35524 51024 53286 71048 88229 106572 113741 142096 176458 213144 227482 264687 341223 352916 426288 454964 529374 682446 705832 909928 1058748 1364892 1411664 1819856 2117496 2729784 4234992 5459568 9440503 18881006 28321509 37762012 56643018 75524024 113286036 151048048 226572072 453144144