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13442344434 = 23223314992099
BaseRepresentation
bin11001000010011100…
…11110010111110010
31021200211010211221200
430201032132113302
5210012220010214
610101512032030
7654054020361
oct144116362762
937624124850
1013442344434
115778942372
122731992616
131362c1ac7c
149173d37d8
1553a1cbd09
hex32139e5f2

13442344434 has 96 divisors (see below), whose sum is σ = 31449600000. Its totient is φ = 4137423840.

The previous prime is 13442344381. The next prime is 13442344453. The reversal of 13442344434 is 43444324431.

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, 6403117 + ... + 6405215.

It is an arithmetic number, because the mean of its divisors is an integer number (327600000).

Almost surely, 213442344434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13442344434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800000).

13442344434 is an abundant number, since it is smaller than the sum of its proper divisors (18007255566).

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

13442344434 is a wasteful number, since it uses less digits than its factorization.

13442344434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2657 counting only the distinct ones).

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

Adding to 13442344434 its reverse (43444324431), we get a palindrome (56886668865).

The spelling of 13442344434 in words is "thirteen billion, four hundred forty-two million, three hundred forty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 31 46 62 69 93 138 186 207 279 414 499 558 713 998 1426 1497 2099 2139 2994 4198 4278 4491 6297 6417 8982 11477 12594 12834 15469 18891 22954 30938 34431 37782 46407 48277 65069 68862 92814 96554 103293 130138 139221 144831 195207 206586 278442 289662 355787 390414 434493 585621 711574 868986 1047401 1067361 1171242 1496587 2094802 2134722 2993174 3142203 3202083 4489761 6284406 6404166 8979522 9426609 13469283 18853218 24090223 26938566 32469431 48180446 64938862 72270669 97408293 144541338 194816586 216812007 292224879 433624014 584449758 746796913 1493593826 2240390739 4480781478 6721172217 13442344434