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121344400016 = 2476716170629
BaseRepresentation
bin111000100000010110…
…0001001101010010000
3102121012200220012121122
41301000230021222100
53442003131300031
6131424515341412
711524012244660
oct1610054115220
9377180805548
10121344400016
1147509828814
121b625bb1868
13b59a899838
145c31b041a0
15325301647b
hex1c40b09a90

121344400016 has 40 divisors (see below), whose sum is σ = 272701504320. Its totient is φ = 51228549504.

The previous prime is 121344400007. The next prime is 121344400027. The reversal of 121344400016 is 610004443121.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8077811 + ... + 8092818.

It is an arithmetic number, because the mean of its divisors is an integer number (6817537608).

Almost surely, 2121344400016 is an apocalyptic number.

121344400016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

121344400016 is an abundant number, since it is smaller than the sum of its proper divisors (151357104304).

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

121344400016 is a wasteful number, since it uses less digits than its factorization.

121344400016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16170711 (or 16170705 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 121344400016 its reverse (610004443121), we get a palindrome (731348843137).

The spelling of 121344400016 in words is "one hundred twenty-one billion, three hundred forty-four million, four hundred thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 268 469 536 938 1072 1876 3752 7504 16170629 32341258 64682516 113194403 129365032 226388806 258730064 452777612 905555224 1083432143 1811110448 2166864286 4333728572 7584025001 8667457144 15168050002 17334914288 30336100004 60672200008 121344400016