Search a number
-
+
14023342231340 = 22513463782314891
BaseRepresentation
bin1100110000010001000001…
…0101010000111100101100
31211122121200211110011111012
43030010100111100330230
53314224301102400330
645454122352044352
72645103331140131
oct314042025207454
954577624404435
1014023342231340
1145172a2113572
1216a5998b336b8
137a951aba9260
14366a3a5a4588
15194ba52aec95
hexcc110550f2c

14023342231340 has 96 divisors (see below), whose sum is σ = 31789022662656. Its totient is φ = 5165658812160.

The previous prime is 14023342231333. The next prime is 14023342231343. The reversal of 14023342231340 is 4313224332041.

It is a junction number, because it is equal to n+sod(n) for n = 14023342231297 and 14023342231306.

It is not an unprimeable number, because it can be changed into a prime (14023342231343) 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 31 ways as a sum of consecutive naturals, for example, 941725295 + ... + 941740185.

It is an arithmetic number, because the mean of its divisors is an integer number (331135652736).

Almost surely, 214023342231340 is an apocalyptic number.

14023342231340 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 14023342231340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15894511331328).

14023342231340 is an abundant number, since it is smaller than the sum of its proper divisors (17765680431316).

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

14023342231340 is a wasteful number, since it uses less digits than its factorization.

14023342231340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23199 (or 23197 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 14023342231340 its reverse (4313224332041), we get a palindrome (18336566563381).

The spelling of 14023342231340 in words is "fourteen trillion, twenty-three billion, three hundred forty-two million, two hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 463 926 1852 2315 4630 6019 7823 9260 12038 14891 15646 24076 29782 30095 31292 39115 59564 60190 74455 78230 101699 120380 148910 156460 193583 203398 297820 387166 406796 508495 774332 967915 1016990 1935830 2033980 3622049 3871660 6894533 7244098 13789066 14488196 18110245 27578132 34472665 36220490 47086637 68945330 72440980 89628929 94173274 116492293 137890660 179257858 188346548 232984586 235433185 358515716 448144645 465969172 470866370 582461465 896289290 941732740 1164922930 1514399809 1792578580 2329845860 3028799618 6057599236 7571999045 15143998090 30287996180 53935931659 107871863318 215743726636 269679658295 539359316590 701167111567 1078718633180 1402334223134 2804668446268 3505835557835 7011671115670 14023342231340