Search a number
-
+
2121144444 = 2232263224033
BaseRepresentation
bin111111001101110…
…0001100001111100
312110211022022011100
41332123201201330
513321003110234
6550251253100
7103364300406
oct17633414174
95424268140
102121144444
11999370241
124b244a190
1327a5b2173
141619d1b76
15c6342399
hex7e6e187c

2121144444 has 36 divisors (see below), whose sum is σ = 5382192816. Its totient is φ = 704356608.

The previous prime is 2121144427. The next prime is 2121144449. The reversal of 2121144444 is 4444411212.

It is a happy number.

2121144444 is a `hidden beast` number, since 2 + 1 + 211 + 4 + 4 + 444 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121144449) 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, 102549 + ... + 121484.

It is an arithmetic number, because the mean of its divisors is an integer number (149505356).

Almost surely, 22121144444 is an apocalyptic number.

It is an amenable number.

2121144444 is an abundant number, since it is smaller than the sum of its proper divisors (3261048372).

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

2121144444 is a wasteful number, since it uses less digits than its factorization.

2121144444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224306 (or 224301 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 2121144444 is about 46055.8839237724. The cubic root of 2121144444 is about 1284.8627779201.

Adding to 2121144444 its reverse (4444411212), we get a palindrome (6565555656).

The spelling of 2121144444 in words is "two billion, one hundred twenty-one million, one hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 263 526 789 1052 1578 2367 3156 4734 9468 224033 448066 672099 896132 1344198 2016297 2688396 4032594 8065188 58920679 117841358 176762037 235682716 353524074 530286111 707048148 1060572222 2121144444