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14320503040 = 28534932057
BaseRepresentation
bin11010101011001000…
…11000100100000000
31100222000112221002111
431111210120210000
5213312022044130
610325002025104
71014606160504
oct152544304400
940860487074
1014320503040
116089606988
122937aa8194
131472b3804c
1499bca6304
1558c34202a
hex355918900

14320503040 has 72 divisors (see below), whose sum is σ = 34401439800. Its totient is φ = 5711609856.

The previous prime is 14320503037. The next prime is 14320503077. The reversal of 14320503040 is 4030502341.

It can be written as a sum of positive squares in 4 ways, for example, as 7567608064 + 6752894976 = 86992^2 + 82176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 430692 + ... + 462748.

It is an arithmetic number, because the mean of its divisors is an integer number (477797775).

Almost surely, 214320503040 is an apocalyptic number.

14320503040 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 14320503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17200719900).

14320503040 is an abundant number, since it is smaller than the sum of its proper divisors (20080936760).

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

14320503040 is an equidigital number, since it uses as much as digits as its factorization.

14320503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32427 (or 32413 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The spelling of 14320503040 in words is "fourteen billion, three hundred twenty million, five hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 349 640 698 1280 1396 1745 2792 3490 5584 6980 11168 13960 22336 27920 32057 44672 55840 64114 89344 111680 128228 160285 223360 256456 320570 446720 512912 641140 1025824 1282280 2051648 2564560 4103296 5129120 8206592 10258240 11187893 20516480 22375786 41032960 44751572 55939465 89503144 111878930 179006288 223757860 358012576 447515720 716025152 895031440 1432050304 1790062880 2864100608 3580125760 7160251520 14320503040