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134432430000 = 24354111731773
BaseRepresentation
bin111110100110011001…
…1000001011110110000
3110211222211100000111220
41331030303001132300
54200304200230000
6141431333305040
712466234541541
oct1751463013660
9424884300456
10134432430000
1152015669420
1222079195180
13c8a528088b
1467140264c8
15376c0561a0
hex1f4ccc17b0

134432430000 has 800 divisors, whose sum is σ = 518104553472. Its totient is φ = 29644800000.

The previous prime is 134432429959. The next prime is 134432430061. The reversal of 134432430000 is 34234431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 173909614 + ... + 173910386.

Almost surely, 2134432430000 is an apocalyptic number.

134432430000 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 134432430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259052276736).

134432430000 is an abundant number, since it is smaller than the sum of its proper divisors (383672123472).

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

134432430000 is a wasteful number, since it uses less digits than its factorization.

134432430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 134432430000 its reverse (34234431), we get a palindrome (134466664431).

The spelling of 134432430000 in words is "one hundred thirty-four billion, four hundred thirty-two million, four hundred thirty thousand".