Search a number
-
+
2144444448 = 25353421471
BaseRepresentation
bin111111111010001…
…1010000000100000
312112110011001202110
41333310122000200
513342434210243
6552442515320
7104066322426
oct17764320040
95473131673
102144444448
11a00534943
124ba205b40
1328237c653
14164b39116
15c83e5e33
hex7fd1a020

2144444448 has 48 divisors (see below), whose sum is σ = 5735390976. Its totient is φ = 701326080.

The previous prime is 2144444441. The next prime is 2144444521. The reversal of 2144444448 is 8444444412.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2144444441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205648 + ... + 215823.

It is an arithmetic number, because the mean of its divisors is an integer number (119487312).

Almost surely, 22144444448 is an apocalyptic number.

It is an amenable number.

2144444448 is an abundant number, since it is smaller than the sum of its proper divisors (3590946528).

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

2144444448 is a wasteful number, since it uses less digits than its factorization.

2144444448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421537 (or 421529 counting only the distinct ones).

The product of its digits is 262144, while the sum is 39.

The square root of 2144444448 is about 46308.1466698895. The cubic root of 2144444448 is about 1289.5502404209.

The spelling of 2144444448 in words is "two billion, one hundred forty-four million, four hundred forty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 421471 842942 1264413 1685884 2528826 3371768 5057652 6743536 10115304 13487072 20230608 22337963 40461216 44675926 67013889 89351852 134027778 178703704 268055556 357407408 536111112 714814816 1072222224 2144444448