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4444044324 = 223173431753
BaseRepresentation
bin1000010001110001…
…01011110000100100
3102110201020211202020
410020320223300210
533100133404244
62012551143140
7215061516306
oct41070536044
912421224666
104444044324
111980602305
12a40374ab0
1355a914635
14302301976
151b0238d19
hex108e2bc24

4444044324 has 96 divisors (see below), whose sum is σ = 11280044160. Its totient is φ = 1361009664.

The previous prime is 4444044317. The next prime is 4444044347. The reversal of 4444044324 is 4234404444.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2534232 + ... + 2535984.

It is an arithmetic number, because the mean of its divisors is an integer number (117500460).

Almost surely, 24444044324 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 4444044324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640022080).

4444044324 is an abundant number, since it is smaller than the sum of its proper divisors (6835999836).

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

4444044324 is a wasteful number, since it uses less digits than its factorization.

4444044324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 33.

The square root of 4444044324 is about 66663.6656957896. The cubic root of 4444044324 is about 1644.0920423127.

Adding to 4444044324 its reverse (4234404444), we get a palindrome (8678448768).

The spelling of 4444044324 in words is "four billion, four hundred forty-four million, forty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 43 51 68 86 102 129 172 204 258 289 516 578 731 867 1156 1462 1734 1753 2193 2924 3468 3506 4386 4913 5259 7012 8772 9826 10518 12427 14739 19652 21036 24854 29478 29801 37281 49708 58956 59602 74562 75379 89403 119204 149124 150758 178806 211259 226137 301516 357612 422518 452274 506617 633777 845036 904548 1013234 1267554 1281443 1519851 2026468 2535108 2562886 3039702 3844329 5125772 6079404 7688658 8612489 15377316 17224978 21784531 25837467 34449956 43569062 51674934 65353593 87138124 103349868 130707186 261414372 370337027 740674054 1111011081 1481348108 2222022162 4444044324