Search a number
-
+
14311452440 = 2352916773877
BaseRepresentation
bin11010101010000011…
…10110111100011000
31100221101112010000002
431111001312330120
5213302212434230
610324040032132
71014436224065
oct152501667430
940841463002
1014311452440
11608449504a
122934a62648
131470cb966c
1499a9cbc6c
1558b655545
hex355076f18

14311452440 has 64 divisors (see below), whose sum is σ = 33511060800. Its totient is φ = 5494010368.

The previous prime is 14311452439. The next prime is 14311452443. The reversal of 14311452440 is 4425411341.

14311452440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14311452443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156782 + ... + 230658.

It is an arithmetic number, because the mean of its divisors is an integer number (523610325).

Almost surely, 214311452440 is an apocalyptic number.

14311452440 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 14311452440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16755530400).

14311452440 is an abundant number, since it is smaller than the sum of its proper divisors (19199608360).

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

14311452440 is a wasteful number, since it uses less digits than its factorization.

14311452440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74084 (or 74080 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 14311452440 its reverse (4425411341), we get a palindrome (18736863781).

The spelling of 14311452440 in words is "fourteen billion, three hundred eleven million, four hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 167 232 290 334 580 668 835 1160 1336 1670 3340 4843 6680 9686 19372 24215 38744 48430 73877 96860 147754 193720 295508 369385 591016 738770 1477540 2142433 2955080 4284866 8569732 10712165 12337459 17139464 21424330 24674918 42848660 49349836 61687295 85697320 98699672 123374590 246749180 357786311 493498360 715572622 1431145244 1788931555 2862290488 3577863110 7155726220 14311452440