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14440347440 = 2451511996007
BaseRepresentation
bin11010111001011011…
…00011011100110000
31101021101001122200222
431130231203130300
5214033212104230
610344522432212
71020562633211
oct153455433460
941241048628
1014440347440
116140221842
122970062668
1314919091ac
149adb81408
15597b166e5
hex35cb63730

14440347440 has 80 divisors (see below), whose sum is σ = 33971635200. Its totient is φ = 5708102400.

The previous prime is 14440347407. The next prime is 14440347479. The reversal of 14440347440 is 4474304441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 14440347440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2400917 + ... + 2406923.

It is an arithmetic number, because the mean of its divisors is an integer number (424645440).

Almost surely, 214440347440 is an apocalyptic number.

14440347440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14440347440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16985817600).

14440347440 is an abundant number, since it is smaller than the sum of its proper divisors (19531287760).

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

14440347440 is a wasteful number, since it uses less digits than its factorization.

14440347440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6370 (or 6364 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 35.

The spelling of 14440347440 in words is "fourteen billion, four hundred forty million, three hundred forty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 199 302 398 604 755 796 995 1208 1510 1592 1990 2416 3020 3184 3980 6007 6040 7960 12014 12080 15920 24028 30035 30049 48056 60070 60098 96112 120140 120196 150245 240280 240392 300490 480560 480784 600980 907057 1195393 1201960 1814114 2390786 2403920 3628228 4535285 4781572 5976965 7256456 9070570 9563144 11953930 14512912 18141140 19126288 23907860 36282280 47815720 72564560 95631440 180504343 361008686 722017372 902521715 1444034744 1805043430 2888069488 3610086860 7220173720 14440347440