Search a number
-
+
13414440330 = 23251671814931
BaseRepresentation
bin11000111111001000…
…00001110110001010
31021121212122011201100
430133210001312022
5204433044042310
610055034002230
7653264601324
oct143744016612
937555564640
1013414440330
115764113625
122724576376
13135a1cac75
1491380c614
15537a18ec0
hex31f901d8a

13414440330 has 96 divisors (see below), whose sum is σ = 35287394688. Its totient is φ = 3535401600.

The previous prime is 13414440301. The next prime is 13414440383. The reversal of 13414440330 is 3304441431.

It is a junction number, because it is equal to n+sod(n) for n = 13414440294 and 13414440303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2717965 + ... + 2722895.

It is an arithmetic number, because the mean of its divisors is an integer number (367577028).

Almost surely, 213414440330 is an apocalyptic number.

13414440330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13414440330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17643697344).

13414440330 is an abundant number, since it is smaller than the sum of its proper divisors (21872954358).

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

13414440330 is a wasteful number, since it uses less digits than its factorization.

13414440330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5292 (or 5289 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13414440330 its reverse (3304441431), we get a palindrome (16718881761).

The spelling of 13414440330 in words is "thirteen billion, four hundred fourteen million, four hundred forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 167 181 334 362 501 543 835 905 1002 1086 1503 1629 1670 1810 2505 2715 3006 3258 4931 5010 5430 7515 8145 9862 14793 15030 16290 24655 29586 30227 44379 49310 60454 73965 88758 90681 147930 151135 181362 221895 272043 302270 443790 453405 544086 823477 892511 906810 1360215 1646954 1785022 2470431 2677533 2720430 4117385 4462555 4940862 5355066 7411293 8032599 8234770 8925110 12352155 13387665 14822586 16065198 24704310 26775330 37056465 40162995 74112930 80325990 149049337 298098674 447148011 745246685 894296022 1341444033 1490493370 2235740055 2682888066 4471480110 6707220165 13414440330