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143428838400 = 21034522632
BaseRepresentation
bin1000010110010100000…
…1100110010000000000
3111201012210122220210000
42011211001212100000
54322220240312100
6145520145440000
713235205003501
oct2054501462000
9451183586700
10143428838400
1155911927191
122396a040000
13106aa074163
146d28b84ba8
153ae6c73900
hex2165066400

143428838400 has 495 divisors, whose sum is σ = 533127195601. Its totient is φ = 38102261760.

The previous prime is 143428838387. The next prime is 143428838431. The reversal of 143428838400 is 4838824341.

It is a happy number.

The square root of 143428838400 is 378720.

It is a perfect power (a square), and thus also a powerful number.

143428838400 is a `hidden beast` number, since 143 + 4 + 28 + 83 + 8 + 400 = 666.

143428838400 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 only one way, i.e., 51634381824 + 91794456576 = 227232^2 + 302976^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 545356669 + ... + 545356931.

Almost surely, 2143428838400 is an apocalyptic number.

143428838400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

143428838400 is the 378720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143428838400

143428838400 is an abundant number, since it is smaller than the sum of its proper divisors (389698357201).

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

143428838400 is an frugal number, since it uses more digits than its factorization.

143428838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 143428838400 in words is "one hundred forty-three billion, four hundred twenty-eight million, eight hundred thirty-eight thousand, four hundred".