Search a number
-
+
1454454144 = 27361113109
BaseRepresentation
bin101011010110001…
…0011010110000000
310202100210221000000
41112230103112000
510434320013034
6400154000000
751020441043
oct12654232600
93670727000
101454454144
11687001a20
12347116000
131a2436370
14db248c5a
1587a4e599
hex56b13580

1454454144 has 448 divisors, whose sum is σ = 5150653200. Its totient is φ = 403107840.

The previous prime is 1454454083. The next prime is 1454454163. The reversal of 1454454144 is 4414544541.

1454454144 is a `hidden beast` number, since 14 + 54 + 454 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1454454099 and 1454454108.

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 55 ways as a sum of consecutive naturals, for example, 13343562 + ... + 13343670.

Almost surely, 21454454144 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 1454454144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575326600).

1454454144 is an abundant number, since it is smaller than the sum of its proper divisors (3696199056).

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

1454454144 is a wasteful number, since it uses less digits than its factorization.

1454454144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 138 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

The square root of 1454454144 is about 38137.3064596859. The cubic root of 1454454144 is about 1133.0089603030.

Adding to 1454454144 its reverse (4414544541), we get a palindrome (5868998685).

The spelling of 1454454144 in words is "one billion, four hundred fifty-four million, four hundred fifty-four thousand, one hundred forty-four".