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14235311340 = 22325235364877
BaseRepresentation
bin11010100000111110…
…11001110011101100
31100202002020202001100
431100133121303230
5213123214430330
610312320043100
71012523102265
oct152037316354
940662222040
1014235311340
11604550a118
122913463490
13145b2aa863
1499084b96c
15584b15060
hex3507d9cec

14235311340 has 144 divisors (see below), whose sum is σ = 45908710848. Its totient is φ = 3562470912.

The previous prime is 14235311303. The next prime is 14235311359. The reversal of 14235311340 is 4311353241.

It is a happy number.

14235311340 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 5 + 311 + 340 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186982 + ... + 251858.

It is an arithmetic number, because the mean of its divisors is an integer number (318810492).

Almost surely, 214235311340 is an apocalyptic number.

14235311340 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 14235311340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22954355424).

14235311340 is an abundant number, since it is smaller than the sum of its proper divisors (31673399508).

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

14235311340 is a wasteful number, since it uses less digits than its factorization.

14235311340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64968 (or 64963 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 14235311340 its reverse (4311353241), we get a palindrome (18546664581).

The spelling of 14235311340 in words is "fourteen billion, two hundred thirty-five million, three hundred eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 53 60 69 90 92 106 115 138 159 180 207 212 230 265 276 318 345 414 460 477 530 636 690 795 828 954 1035 1060 1219 1380 1590 1908 2070 2385 2438 3180 3657 4140 4770 4876 6095 7314 9540 10971 12190 14628 18285 21942 24380 36570 43884 54855 64877 73140 109710 129754 194631 219420 259508 324385 389262 583893 648770 778524 973155 1167786 1297540 1492171 1946310 2335572 2919465 2984342 3438481 3892620 4476513 5838930 5968684 6876962 7460855 8953026 10315443 11677860 13429539 13753924 14921710 17192405 17906052 20630886 22382565 26859078 29843420 30946329 34384810 41261772 44765130 51577215 53718156 61892658 67147695 68769620 79085063 89530260 103154430 123785316 134295390 154731645 158170126 206308860 237255189 268590780 309463290 316340252 395425315 474510378 618926580 711765567 790850630 949020756 1186275945 1423531134 1581701260 2372551890 2847062268 3558827835 4745103780 7117655670 14235311340