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14444424330 = 2357223394201
BaseRepresentation
bin11010111001111010…
…00110110010001010
31101021122201210010220
431130331012302022
5214040233034310
610345150050510
71020642403200
oct153475066212
941248653126
1014444424330
116142556876
1229714a9a36
131492705a5b
149b0523070
1559816e670
hex35cf46c8a

14444424330 has 96 divisors (see below), whose sum is σ = 40353318720. Its totient is φ = 3299385600.

The previous prime is 14444424317. The next prime is 14444424331. The reversal of 14444424330 is 3342444441.

It is a junction number, because it is equal to n+sod(n) for n = 14444424291 and 14444424300.

It is not an unprimeable number, because it can be changed into a prime (14444424331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3436230 + ... + 3440430.

It is an arithmetic number, because the mean of its divisors is an integer number (420347070).

Almost surely, 214444424330 is an apocalyptic number.

14444424330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14444424330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20176659360).

14444424330 is an abundant number, since it is smaller than the sum of its proper divisors (25908894390).

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

14444424330 is a wasteful number, since it uses less digits than its factorization.

14444424330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6564 (or 6557 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 14444424330 its reverse (3342444441), we get a palindrome (17786868771).

The spelling of 14444424330 in words is "fourteen billion, four hundred forty-four million, four hundred twenty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 2339 4201 4678 7017 8402 11695 12603 14034 16373 21005 23390 25206 29407 32746 35085 42010 49119 58814 63015 70170 81865 88221 98238 114611 126030 147035 163730 176442 205849 229222 245595 294070 343833 411698 441105 491190 573055 617547 687666 882210 1029245 1146110 1235094 1719165 2058490 3087735 3438330 6175470 9826139 19652278 29478417 49130695 58956834 68782973 98261390 137565946 147392085 206348919 294784170 343914865 412697838 481480811 687829730 962961622 1031744595 1444442433 2063489190 2407404055 2888884866 4814808110 7222212165 14444424330