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4414132324 = 227416757389
BaseRepresentation
bin1000001110001101…
…00101000001100100
3102101121222011012101
410013012211001210
533020004213244
62010002101444
7214246335310
oct40706450144
912347864171
104414132324
111965731a48
12a3234a884
13554670724
142dc356b40
151ac7cb0d4
hex1071a5064

4414132324 has 48 divisors (see below), whose sum is σ = 9178727040. Its totient is φ = 1818051840.

The previous prime is 4414132321. The next prime is 4414132351. The reversal of 4414132324 is 4232314144.

It is a super-3 number, since 3×44141323243 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4414132292 and 4414132301.

It is not an unprimeable number, because it can be changed into a prime (4414132321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48222 + ... + 105610.

It is an arithmetic number, because the mean of its divisors is an integer number (191223480).

Almost surely, 24414132324 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 4414132324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4589363520).

4414132324 is an abundant number, since it is smaller than the sum of its proper divisors (4764594716).

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

4414132324 is a wasteful number, since it uses less digits than its factorization.

4414132324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57508 (or 57506 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 4414132324 is about 66438.9368066648. The cubic root of 4414132324 is about 1640.3950471089.

Adding to 4414132324 its reverse (4232314144), we get a palindrome (8646446468).

The spelling of 4414132324 in words is "four billion, four hundred fourteen million, one hundred thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 41 67 82 134 164 268 287 469 574 938 1148 1876 2747 5494 10988 19229 38458 57389 76916 114778 229556 401723 803446 1606892 2352949 3845063 4705898 7690126 9411796 15380252 16470643 26915441 32941286 53830882 65882572 107661764 157647583 315295166 630590332 1103533081 2207066162 4414132324