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14431313440 = 255317873697
BaseRepresentation
bin11010111000010110…
…00101111000100000
31101020202001200101101
431130023011320200
5214023404012230
610344001044144
71020423066055
oct153413057040
941222050341
1014431313440
116136111425
122969026654
13148ca9522b
149ac8ad02c
15596e2eaca
hex35c2c5e20

14431313440 has 96 divisors (see below), whose sum is σ = 35248034304. Its totient is φ = 5577707520.

The previous prime is 14431313431. The next prime is 14431313441. The reversal of 14431313440 is 4431313441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14431313399 and 14431313408.

It is not an unprimeable number, because it can be changed into a prime (14431313441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3901672 + ... + 3905368.

It is an arithmetic number, because the mean of its divisors is an integer number (367167024).

Almost surely, 214431313440 is an apocalyptic number.

14431313440 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 14431313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17624017152).

14431313440 is an abundant number, since it is smaller than the sum of its proper divisors (20816720864).

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

14431313440 is a wasteful number, since it uses less digits than its factorization.

14431313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4530 (or 4522 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 14431313440 its reverse (4431313441), we get a palindrome (18862626881).

Subtracting from 14431313440 its reverse (4431313441), we obtain a palindrome (9999999999).

The spelling of 14431313440 in words is "fourteen billion, four hundred thirty-one million, three hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 787 992 1240 1574 2480 3148 3697 3935 4960 6296 7394 7870 12592 14788 15740 18485 24397 25184 29576 31480 36970 48794 59152 62960 73940 97588 114607 118304 121985 125920 147880 195176 229214 243970 295760 390352 458428 487940 573035 591520 780704 916856 975880 1146070 1833712 1951760 2292140 2909539 3667424 3903520 4584280 5819078 9168560 11638156 14547695 18337120 23276312 29095390 46552624 58190780 90195709 93105248 116381560 180391418 232763120 360782836 450978545 465526240 721565672 901957090 1443131344 1803914180 2886262688 3607828360 7215656720 14431313440