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14311260340 = 22513375328069
BaseRepresentation
bin11010101010000010…
…01000000010110100
31100221101011100111021
431111001020002310
5213302140312330
610324031550524
71014434464036
oct152501100264
940841140437
1014311260340
116084373793
12293498b444
131470c500b0
1499a97bc56
1558b61867a
hex3550480b4

14311260340 has 96 divisors (see below), whose sum is σ = 33868588320. Its totient is φ = 5044156416.

The previous prime is 14311260269. The next prime is 14311260349. The reversal of 14311260340 is 4306211341.

It can be written as a sum of positive squares in 16 ways, for example, as 3622595344 + 10688664996 = 60188^2 + 103386^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14311260349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495826 + ... + 523894.

It is an arithmetic number, because the mean of its divisors is an integer number (352797795).

Almost surely, 214311260340 is an apocalyptic number.

14311260340 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 14311260340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934294160).

14311260340 is an abundant number, since it is smaller than the sum of its proper divisors (19557327980).

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

14311260340 is a wasteful number, since it uses less digits than its factorization.

14311260340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28181 (or 28179 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 14311260340 its reverse (4306211341), we get a palindrome (18617471681).

The spelling of 14311260340 in words is "fourteen billion, three hundred eleven million, two hundred sixty thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 53 65 74 106 130 148 185 212 260 265 370 481 530 689 740 962 1060 1378 1924 1961 2405 2756 3445 3922 4810 6890 7844 9620 9805 13780 19610 25493 28069 39220 50986 56138 101972 112276 127465 140345 254930 280690 364897 509860 561380 729794 1038553 1459588 1487657 1824485 2077106 2975314 3648970 4154212 5192765 5950628 7297940 7438285 10385530 13501189 14876570 19339541 20771060 27002378 29753140 38679082 54004756 55043309 67505945 77358164 96697705 110086618 135011890 193395410 220173236 270023780 275216545 386790820 550433090 715563017 1100866180 1431126034 2862252068 3577815085 7155630170 14311260340