Search a number
-
+
4404664044 = 22321111122889
BaseRepresentation
bin1000001101000100…
…11101011011101100
3102100222011010011100
410012202131123230
533010043222134
62005023123100
7214103012064
oct40642353354
912328133140
104404664044
111960355320
12a2b143490
13552706bb1
142dadb03a4
151aba5a999
hex10689d6ec

4404664044 has 36 divisors (see below), whose sum is σ = 12146195880. Its totient is φ = 1334746560.

The previous prime is 4404664031. The next prime is 4404664051.

4404664044 is a `hidden beast` number, since 4 + 4 + 0 + 4 + 6 + 640 + 4 + 4 = 666.

4404664044 is nontrivially palindromic in base 10.

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5561049 + ... + 5561840.

It is an arithmetic number, because the mean of its divisors is an integer number (337394330).

Almost surely, 24404664044 is an apocalyptic number.

4404664044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4404664044 is an abundant number, since it is smaller than the sum of its proper divisors (7741531836).

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

4404664044 is a wasteful number, since it uses less digits than its factorization.

4404664044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11122910 (or 11122905 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The square root of 4404664044 is about 66367.6430499080. The cubic root of 4404664044 is about 1639.2213292358.

The spelling of 4404664044 in words is "four billion, four hundred four million, six hundred sixty-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 11122889 22245778 33368667 44491556 66737334 100106001 122351779 133474668 200212002 244703558 367055337 400424004 489407116 734110674 1101166011 1468221348 2202332022 4404664044