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134000003214 = 233711291975641
BaseRepresentation
bin111110011001100000…
…1011100100010001110
3110210212200122110111000
41330303001130202032
54143413000100324
6141320405041130
712452434143210
oct1746301344216
9423780573430
10134000003214
1151913565810
1221b783b61a6
13c8367c783c
1466b28205b0
1537440d99c9
hex1f3305c88e

134000003214 has 256 divisors, whose sum is σ = 386075289600. Its totient is φ = 33428505600.

The previous prime is 134000003213. The next prime is 134000003237. The reversal of 134000003214 is 412300000431.

134000003214 is a `hidden beast` number, since 1 + 340 + 0 + 0 + 0 + 0 + 321 + 4 = 666.

It is a super-2 number, since 2×1340000032142 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134000003213) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23751834 + ... + 23757474.

It is an arithmetic number, because the mean of its divisors is an integer number (1508106600).

Almost surely, 2134000003214 is an apocalyptic number.

134000003214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134000003214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193037644800).

134000003214 is an abundant number, since it is smaller than the sum of its proper divisors (252075286386).

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

134000003214 is a wasteful number, since it uses less digits than its factorization.

134000003214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5896 (or 5890 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 134000003214 its reverse (412300000431), we get a palindrome (546300003645).

The spelling of 134000003214 in words is "one hundred thirty-four billion, three thousand, two hundred fourteen".