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1422144482400 = 2532521922323789
BaseRepresentation
bin10100101100011110011…
…010101010110001100000
312000221210200202001112200
4110230132122222301200
5141300022441414100
63005154003453200
7204514031435145
oct24543632526140
95027720661480
101422144482400
114a9145537714
121ab755387200
13a41526754b5
144cb9163a3cc
1526ed72cce00
hex14b1e6aac60

1422144482400 has 648 divisors, whose sum is σ = 5523015410640. Its totient is φ = 343643351040.

The previous prime is 1422144482387. The next prime is 1422144482411. The reversal of 1422144482400 is 42844412241.

1422144482400 is a `hidden beast` number, since 14 + 22 + 144 + 4 + 82 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 59769706 + ... + 59793494.

It is an arithmetic number, because the mean of its divisors is an integer number (8523171930).

Almost surely, 21422144482400 is an apocalyptic number.

1422144482400 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 1422144482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761507705320).

1422144482400 is an abundant number, since it is smaller than the sum of its proper divisors (4100870928240).

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

1422144482400 is a wasteful number, since it uses less digits than its factorization.

1422144482400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23876 (or 23841 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

Adding to 1422144482400 its reverse (42844412241), we get a palindrome (1464988894641).

The spelling of 1422144482400 in words is "one trillion, four hundred twenty-two billion, one hundred forty-four million, four hundred eighty-two thousand, four hundred".