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134341853184 = 217337111729
BaseRepresentation
bin111110100011101100…
…1100000000000000000
3110211202111220020111000
41331013121200000000
54200113003300214
6141414340052000
712464054624310
oct1750731400000
9424674806430
10134341853184
1151a79523750
1222052994000
13c88c589226
146705da9440
153764113809
hex1f47660000

134341853184 has 1152 divisors, whose sum is σ = 543579724800. Its totient is φ = 31708938240.

The previous prime is 134341853183. The next prime is 134341853231. The reversal of 134341853184 is 481358143431.

134341853184 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 418 + 53 + 184 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1343418531842 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134341853183) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4632477682 + ... + 4632477710.

It is an arithmetic number, because the mean of its divisors is an integer number (471857400).

Almost surely, 2134341853184 is an apocalyptic number.

134341853184 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 134341853184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271789862400).

134341853184 is an abundant number, since it is smaller than the sum of its proper divisors (409237871616).

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

134341853184 is an equidigital number, since it uses as much as digits as its factorization.

134341853184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 69 counting only the distinct ones).

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

The spelling of 134341853184 in words is "one hundred thirty-four billion, three hundred forty-one million, eight hundred fifty-three thousand, one hundred eighty-four".