[go: up one dir, main page]

Search a number
-
+
4414203144 = 23321313993371
BaseRepresentation
bin1000001110001101…
…10110010100001000
3102101122002202100100
410013012312110020
533020014000034
62010003405400
7214250051631
oct40706662410
912348082310
104414203144
11196578017a
12a32383860
13554696a30
142dc374888
151ac7e2099
hex1071b6508

4414203144 has 96 divisors (see below), whose sum is σ = 12887784000. Its totient is φ = 1356842880.

The previous prime is 4414203133. The next prime is 4414203149. The reversal of 4414203144 is 4413024144.

4414203144 is a `hidden beast` number, since 4 + 414 + 203 + 1 + 44 = 666.

It is not an unprimeable number, because it can be changed into a prime (4414203149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1307779 + ... + 1311149.

It is an arithmetic number, because the mean of its divisors is an integer number (134247750).

Almost surely, 24414203144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4414203144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6443892000).

4414203144 is an abundant number, since it is smaller than the sum of its proper divisors (8473580856).

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

4414203144 is a wasteful number, since it uses less digits than its factorization.

4414203144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4795 (or 4788 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4414203144 is about 66439.4697751269. The cubic root of 4414203144 is about 1640.4038198527.

Adding to 4414203144 its reverse (4413024144), we get a palindrome (8827227288).

The spelling of 4414203144 in words is "four billion, four hundred fourteen million, two hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 1399 2798 3371 4197 5596 6742 8394 10113 11192 12591 13484 16788 18187 20226 25182 26968 30339 33576 36374 40452 43823 50364 54561 60678 72748 80904 87646 100728 109122 121356 131469 145496 163683 175292 218244 242712 262938 327366 350584 394407 436488 525876 654732 788814 1051752 1309464 1577628 3155256 4716029 9432058 14148087 18864116 28296174 37728232 42444261 56592348 61308377 84888522 113184696 122616754 169777044 183925131 245233508 339554088 367850262 490467016 551775393 735700524 1103550786 1471401048 2207101572 4414203144