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134433460000 = 255472137177
BaseRepresentation
bin111110100110011011…
…0111100111100100000
3110211222220021100102001
41331030312330330200
54200304431210000
6141431411333344
712466246361500
oct1751466747440
9424886240361
10134433460000
1152016202264
12220795b1254
13c8a5551648
146714213a00
15376c1ab46a
hex1f4cdbcf20

134433460000 has 180 divisors, whose sum is σ = 384725440638. Its totient is φ = 46091136000.

The previous prime is 134433459973. The next prime is 134433460019. The reversal of 134433460000 is 64334431.

134433460000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 3421314064 + 131012145936 = 58492^2 + 361956^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 911412 + ... + 1048588.

Almost surely, 2134433460000 is an apocalyptic number.

134433460000 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 134433460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192362720319).

134433460000 is an abundant number, since it is smaller than the sum of its proper divisors (250291980638).

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

134433460000 is an equidigital number, since it uses as much as digits as its factorization.

134433460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137221 (or 137191 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 134433460000 its reverse (64334431), we get a palindrome (134497794431).

The spelling of 134433460000 in words is "one hundred thirty-four billion, four hundred thirty-three million, four hundred sixty thousand".