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4441412144 = 2413118717989
BaseRepresentation
bin1000010001011101…
…01001001000110000
3102110112022010002002
410020232221020300
533044000142034
62012414513132
7215030244311
oct41056511060
912415263062
104441412144
11197a074754
12a3b5057a8
1355a202530
14301c18608
151aedb8e7e
hex108ba9230

4441412144 has 40 divisors (see below), whose sum is σ = 9275500080. Its totient is φ = 2048041728.

The previous prime is 4441412117. The next prime is 4441412159. The reversal of 4441412144 is 4412141444.

It is a happy number.

It is a super-2 number, since 2×44414121442 = 39452283665741353472, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237902 + ... + 255890.

It is an arithmetic number, because the mean of its divisors is an integer number (231887502).

Almost surely, 24441412144 is an apocalyptic number.

It is an amenable number.

4441412144 is an abundant number, since it is smaller than the sum of its proper divisors (4834087936).

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

4441412144 is a wasteful number, since it uses less digits than its factorization.

4441412144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19197 (or 19191 counting only the distinct ones).

The product of its digits is 8192, while the sum is 29.

The square root of 4441412144 is about 66643.9205329338. The cubic root of 4441412144 is about 1643.7673830196.

Adding to 4441412144 its reverse (4412141444), we get a palindrome (8853553588).

The spelling of 4441412144 in words is "four billion, four hundred forty-one million, four hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 1187 2374 4748 9496 15431 17989 18992 30862 35978 61724 71956 123448 143912 233857 246896 287824 467714 935428 1870856 3741712 21352943 42705886 85411772 170823544 277588259 341647088 555176518 1110353036 2220706072 4441412144