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134234797320 = 233451373149293
BaseRepresentation
bin111110100000100000…
…1000111010100001000
3110211111001110020110000
41331001001013110020
54144403102003240
6141355553323000
712461314644141
oct1750101072410
9424431406400
10134234797320
1151a24053028
1222022b66460
13c873344c70
1466d5a9cac8
153759a18430
hex1f41047508

134234797320 has 640 divisors, whose sum is σ = 497537964000. Its totient is φ = 32260571136.

The previous prime is 134234797303. The next prime is 134234797331. The reversal of 134234797320 is 23797432431.

134234797320 is a `hidden beast` number, since 1 + 3 + 4 + 234 + 7 + 97 + 320 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 6275491524 + 127959305796 = 79218^2 + 357714^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 458139094 + ... + 458139386.

Almost surely, 2134234797320 is an apocalyptic number.

134234797320 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 134234797320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248768982000).

134234797320 is an abundant number, since it is smaller than the sum of its proper divisors (363303166680).

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

134234797320 is a wasteful number, since it uses less digits than its factorization.

134234797320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 134234797320 in words is "one hundred thirty-four billion, two hundred thirty-four million, seven hundred ninety-seven thousand, three hundred twenty".