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134214331320 = 23335375775821
BaseRepresentation
bin111110011111111001…
…1000010101110111000
3110211102121221110101000
41330333303002232320
54144332332100240
6141353542525000
712460645664406
oct1747763025670
9424377843330
10134214331320
1151a13544683
1222018136760
13c86c02a6c4
1466d3092476
153757d24430
hex1f3fcc2bb8

134214331320 has 256 divisors, whose sum is σ = 460347868800. Its totient is φ = 34756853760.

The previous prime is 134214331301. The next prime is 134214331327. The reversal of 134214331320 is 23133412431.

It is a happy number.

134214331320 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 1 + 4 + 331 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134214331327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23054010 + ... + 23059830.

Almost surely, 2134214331320 is an apocalyptic number.

134214331320 is a gapful number since it is divisible by the number (10) 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 134214331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230173934400).

134214331320 is an abundant number, since it is smaller than the sum of its proper divisors (326133537480).

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

134214331320 is a wasteful number, since it uses less digits than its factorization.

134214331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6455 (or 6445 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 134214331320 its reverse (23133412431), we get a palindrome (157347743751).

The spelling of 134214331320 in words is "one hundred thirty-four billion, two hundred fourteen million, three hundred thirty-one thousand, three hundred twenty".