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13424400434430 = 2335172924705977
BaseRepresentation
bin1100001101011001110010…
…0111101000010011111110
31202112100201112210101202000
43003112130213220103332
53224421133002400210
644315030122443130
72553611104644246
oct303263447502376
952470645711660
1013424400434430
114306290087687
1216098a46634a6
13764bb955702b
14345a5ca9cb26
151842ed2bdac0
hexc359c9e84fe

13424400434430 has 64 divisors (see below), whose sum is σ = 37904189474880. Its totient is φ = 3369261284352.

The previous prime is 13424400434293. The next prime is 13424400434437. The reversal of 13424400434430 is 3443400442431.

13424400434430 is a `hidden beast` number, since 134 + 2 + 4 + 40 + 0 + 43 + 443 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13424400434437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1462348399 + ... + 1462357578.

It is an arithmetic number, because the mean of its divisors is an integer number (592252960545).

Almost surely, 213424400434430 is an apocalyptic number.

13424400434430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13424400434430 is an abundant number, since it is smaller than the sum of its proper divisors (24479789040450).

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

13424400434430 is a wasteful number, since it uses less digits than its factorization.

13424400434430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2924706010 (or 2924706004 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 13424400434430 its reverse (3443400442431), we get a palindrome (16867800876861).

The spelling of 13424400434430 in words is "thirteen trillion, four hundred twenty-four billion, four hundred million, four hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 2295 4590 2924705977 5849411954 8774117931 14623529885 17548235862 26322353793 29247059770 43870589655 49720001609 52644707586 78967061379 87741179310 99440003218 131611768965 149160004827 157934122758 248600008045 263223537930 298320009654 394835306895 447480014481 497200016090 745800024135 789670613790 894960028962 1342440043443 1491600048270 2237400072405 2684880086886 4474800144810 6712200217215 13424400434430