Search a number
-
+
441101144 = 23112455683
BaseRepresentation
bin11010010010101…
…010101101011000
31010202000021000102
4122102222231120
51400410214034
6111434154532
713634204111
oct3222525530
91122007012
10441101144
11206a98900
12103882a48
13705023c3
1442823208
1528ad197e
hex1a4aab58

441101144 has 24 divisors (see below), whose sum is σ = 909089580. Its totient is φ = 200500080.

The previous prime is 441101137. The next prime is 441101147.

It is a happy number.

441101144 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441101147) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 226874 + ... + 228809.

Almost surely, 2441101144 is an apocalyptic number.

441101144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441101144 is an abundant number, since it is smaller than the sum of its proper divisors (467988436).

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

441101144 is a wasteful number, since it uses less digits than its factorization.

441101144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455711 (or 455696 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 441101144 is about 21002.4080524115. The cubic root of 441101144 is about 761.2244481884.

It can be divided in two parts, 44110 and 1144, that added together give a palindrome (45254).

The spelling of 441101144 in words is "four hundred forty-one million, one hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 455683 911366 1822732 3645464 5012513 10025026 20050052 40100104 55137643 110275286 220550572 441101144