Search a number
-
+
144112444452 = 22326857583801
BaseRepresentation
bin1000011000110111000…
…1010110010000100100
3111202222102222200222200
42012031301112100210
54330120241210302
6150112045454500
713261145365164
oct2061561262044
9452872880880
10144112444452
1156132799569
1223b1ab71430
1310788893592
146d918925a4
153b36ca881c
hex218dc56424

144112444452 has 36 divisors (see below), whose sum is σ = 364337984556. Its totient is φ = 48030393600.

The previous prime is 144112444451. The next prime is 144112444453. The reversal of 144112444452 is 254444211441.

144112444452 is a `hidden beast` number, since 1 + 4 + 41 + 124 + 44 + 452 = 666.

It is an interprime number because it is at equal distance from previous prime (144112444451) and next prime (144112444453).

It can be written as a sum of positive squares in 2 ways, for example, as 10788145956 + 133324298496 = 103866^2 + 365136^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (144112444451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45049 + ... + 538752.

It is an arithmetic number, because the mean of its divisors is an integer number (10120499571).

Almost surely, 2144112444452 is an apocalyptic number.

144112444452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144112444452 is an abundant number, since it is smaller than the sum of its proper divisors (220225540104).

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

144112444452 is a wasteful number, since it uses less digits than its factorization.

144112444452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590668 (or 590663 counting only the distinct ones).

The product of its digits is 81920, while the sum is 36.

Adding to 144112444452 its reverse (254444211441), we get a palindrome (398556655893).

The spelling of 144112444452 in words is "one hundred forty-four billion, one hundred twelve million, four hundred forty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 6857 13714 20571 27428 41142 61713 82284 123426 246852 583801 1167602 1751403 2335204 3502806 5254209 7005612 10508418 21016836 4003123457 8006246914 12009370371 16012493828 24018740742 36028111113 48037481484 72056222226 144112444452