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4419334144 = 2121763467
BaseRepresentation
bin1000001110110100…
…11011000000000000
3102101222202102202101
410013122123000000
533022322143034
62010305400144
7214341502051
oct40732330000
912358672671
104419334144
111968665175
12a34039054
13555772324
142dcd0c728
151acea7514
hex10769b000

4419334144 has 52 divisors (see below), whose sum is σ = 9357594984. Its totient is φ = 2079653888.

The previous prime is 4419334133. The next prime is 4419334151. The reversal of 4419334144 is 4414339144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37899 + ... + 101365.

Almost surely, 24419334144 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 4419334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4678797492).

4419334144 is an abundant number, since it is smaller than the sum of its proper divisors (4938260840).

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

4419334144 is an equidigital number, since it uses as much as digits as its factorization.

4419334144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63508 (or 63486 counting only the distinct ones).

The product of its digits is 82944, while the sum is 37.

The square root of 4419334144 is about 66478.0726555757. The cubic root of 4419334144 is about 1641.0391669056.

The spelling of 4419334144 in words is "four billion, four hundred nineteen million, three hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2048 2176 4096 4352 8704 17408 34816 63467 69632 126934 253868 507736 1015472 1078939 2030944 2157878 4061888 4315756 8123776 8631512 16247552 17263024 32495104 34526048 64990208 69052096 129980416 138104192 259960832 276208384 552416768 1104833536 2209667072 4419334144