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14240331440 = 245796833299
BaseRepresentation
bin11010100001100101…
…00011011010110000
31100202102200210022222
431100302203122300
5213131011101230
610313015420212
71012613551166
oct152062433260
940672623288
1014240331440
116048328865
122915084668
13145c34782a
14991397236
155852a76e5
hex350ca36b0

14240331440 has 80 divisors (see below), whose sum is σ = 33587136000. Its totient is φ = 5614093056.

The previous prime is 14240331433. The next prime is 14240331463. The reversal of 14240331440 is 4413304241.

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

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, 4314911 + ... + 4318209.

It is an arithmetic number, because the mean of its divisors is an integer number (419839200).

Almost surely, 214240331440 is an apocalyptic number.

14240331440 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 14240331440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16793568000).

14240331440 is an abundant number, since it is smaller than the sum of its proper divisors (19346804560).

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

14240331440 is a wasteful number, since it uses less digits than its factorization.

14240331440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4074 (or 4068 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 14240331440 its reverse (4413304241), we get a palindrome (18653635681).

The spelling of 14240331440 in words is "fourteen billion, two hundred forty million, three hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 683 790 1264 1366 1580 2732 3160 3299 3415 5464 6320 6598 6830 10928 13196 13660 16495 26392 27320 32990 52784 53957 54640 65980 107914 131960 215828 260621 263920 269785 431656 521242 539570 863312 1042484 1079140 1303105 2084968 2158280 2253217 2606210 4169936 4316560 4506434 5212420 9012868 10424840 11266085 18025736 20849680 22532170 36051472 45064340 90128680 178004143 180257360 356008286 712016572 890020715 1424033144 1780041430 2848066288 3560082860 7120165720 14240331440