Search a number
-
+
1444141680 = 24356017257
BaseRepresentation
bin101011000010011…
…1101101001110000
310201122101222221220
41112010331221300
510424200013210
6355144545040
750534000412
oct12604755160
93648358856
101444141680
116811a9023
12343782180
131a0265507
14d9b229b2
1586bb3c70
hex5613da70

1444141680 has 40 divisors (see below), whose sum is σ = 4476839952. Its totient is φ = 385104384.

The previous prime is 1444141667. The next prime is 1444141691. The reversal of 1444141680 is 861414441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3008389 + ... + 3008868.

Almost surely, 21444141680 is an apocalyptic number.

1444141680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444141680 is an abundant number, since it is smaller than the sum of its proper divisors (3032698272).

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

1444141680 is a wasteful number, since it uses less digits than its factorization.

1444141680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6017273 (or 6017267 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 1444141680 is about 38001.8641648012. The cubic root of 1444141680 is about 1130.3248289539.

The spelling of 1444141680 in words is "one billion, four hundred forty-four million, one hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 6017257 12034514 18051771 24069028 30086285 36103542 48138056 60172570 72207084 90258855 96276112 120345140 144414168 180517710 240690280 288828336 361035420 481380560 722070840 1444141680