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134004343341204 = 2233710716712597879
BaseRepresentation
bin11110011110000001010001…
…010010001000000010010100
3122120110200122002110120202000
4132132001101102020002110
5120031011343343404304
61153000425004515300
740140331356413130
oct3636012122100224
9576420562416660
10134004343341204
1139774a1736a386
1213042b3354bb30
1359a072b1666ab
142513bb82a83c0
151075b619e9939
hex79e051488094

134004343341204 has 384 divisors, whose sum is σ = 403531849728000. Its totient is φ = 37667285345664.

The previous prime is 134004343341181. The next prime is 134004343341217. The reversal of 134004343341204 is 402143343400431.

134004343341204 is a `hidden beast` number, since 1 + 3 + 400 + 4 + 3 + 4 + 3 + 3 + 41 + 204 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17007781737 + ... + 17007789615.

It is an arithmetic number, because the mean of its divisors is an integer number (1050864192000).

Almost surely, 2134004343341204 is an apocalyptic number.

134004343341204 is a gapful number since it is divisible by the number (14) 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 134004343341204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201765924864000).

134004343341204 is an abundant number, since it is smaller than the sum of its proper divisors (269527506386796).

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

134004343341204 is a wasteful number, since it uses less digits than its factorization.

134004343341204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9432 (or 9424 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 134004343341204 its reverse (402143343400431), we get a palindrome (536147686741635).

The spelling of 134004343341204 in words is "one hundred thirty-four trillion, four billion, three hundred forty-three million, three hundred forty-one thousand, two hundred four".