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1423343210400 = 253452171292069
BaseRepresentation
bin10100101101100101110…
…111011100111110100000
312001001220020100202020000
4110231211313130332200
5141310001330213100
63005512544420000
7204555525445026
oct24554567347640
95031806322200
101423343210400
114a9700154811
121aba2a917600
13a42b3b129c7
144cc66918716
1527057666900
hex14b65ddcfa0

1423343210400 has 360 divisors, whose sum is σ = 5495992882380. Its totient is φ = 357230960640.

The previous prime is 1423343210327. The next prime is 1423343210437. The reversal of 1423343210400 is 40123433241.

1423343210400 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 3 + 43 + 210 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1163524654224 + 259818556176 = 1078668^2 + 509724^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 455566 + ... + 1747634.

Almost surely, 21423343210400 is an apocalyptic number.

1423343210400 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 1423343210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747996441190).

1423343210400 is an abundant number, since it is smaller than the sum of its proper divisors (4072649671980).

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

1423343210400 is a wasteful number, since it uses less digits than its factorization.

1423343210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292118 (or 1292096 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1423343210400 its reverse (40123433241), we get a palindrome (1463466643641).

The spelling of 1423343210400 in words is "one trillion, four hundred twenty-three billion, three hundred forty-three million, two hundred ten thousand, four hundred".