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134221044113568 = 2536137202720719
BaseRepresentation
bin11110100001001011000101…
…101001111110000010100000
3122121020101222100012102000000
4132201023011221332002200
5120043034144243113233
61153244144010300000
740162102411526436
oct3641130551760240
9577211870172000
10134221044113568
11398489092a2a95
1213078b30127600
1359b7cb448b899
142520494416d56
15107b5e623ad13
hex7a12c5a7e0a0

134221044113568 has 336 divisors, whose sum is σ = 399298335246720. Its totient is φ = 44389722498048.

The previous prime is 134221044113567. The next prime is 134221044113599. The reversal of 134221044113568 is 865311440122431.

It is a happy number.

134221044113568 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 2 + 10 + 441 + 135 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (134221044113567) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6478151913 + ... + 6478172631.

It is an arithmetic number, because the mean of its divisors is an integer number (1188387902520).

Almost surely, 2134221044113568 is an apocalyptic number.

134221044113568 is a gapful number since it is divisible by the number (18) 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 134221044113568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199649167623360).

134221044113568 is an abundant number, since it is smaller than the sum of its proper divisors (265077291133152).

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

134221044113568 is a wasteful number, since it uses less digits than its factorization.

134221044113568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22911 (or 22888 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

Adding to 134221044113568 its reverse (865311440122431), we get a palindrome (999532484235999).

The spelling of 134221044113568 in words is "one hundred thirty-four trillion, two hundred twenty-one billion, forty-four million, one hundred thirteen thousand, five hundred sixty-eight".