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1424451798016 = 2101321921512
BaseRepresentation
bin10100101110100111111…
…100011000010000000000
312001011202111100211112121
4110232213330120100000
5141314234130014031
63010214545334024
7204625146335632
oct24564774302000
95034674324477
101424451798016
114aa1199a5025
121b009a037314
13a442c6ac400
144cd2dc50a52
15270beb47011
hex14ba7f18400

1424451798016 has 297 divisors, whose sum is σ = 3275920582893. Its totient is φ = 618712473600.

The previous prime is 1424451798001. The next prime is 1424451798019. The reversal of 1424451798016 is 6108971544241.

It is a happy number.

The square root of 1424451798016 is 1193504.

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

It can be written as a sum of positive squares in only one way, i.e., 210717721600 + 1213734076416 = 459040^2 + 1101696^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1424451798019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9433455541 + ... + 9433455691.

Almost surely, 21424451798016 is an apocalyptic number.

1424451798016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1424451798016 is the 1193504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1424451798016

1424451798016 is an abundant number, since it is smaller than the sum of its proper divisors (1851468784877).

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

1424451798016 is an equidigital number, since it uses as much as digits as its factorization.

1424451798016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 1424451798016 in words is "one trillion, four hundred twenty-four billion, four hundred fifty-one million, seven hundred ninety-eight thousand, sixteen".