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1242203869764 = 22341121324332
BaseRepresentation
bin10010000100111001000…
…111101101001001000100
311101202100022201211110000
4102010321013231021010
5130323013142313024
62350354404001300
7155513653451064
oct22047107551104
94352308654400
101242203869764
114398a7778100
121808b7690230
13901a7125100
14441a169d3a4
15224a4e05cc9
hex121391ed244

1242203869764 has 405 divisors, whose sum is σ = 3874057638759. Its totient is φ = 346667143680.

The previous prime is 1242203869759. The next prime is 1242203869783. The reversal of 1242203869764 is 4679683022421.

It is a happy number.

The square root of 1242203869764 is 1114542.

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

It can be written as a sum of positive squares in 4 ways, for example, as 682041436164 + 560162433600 = 825858^2 + 748440^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1242203869764.

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 2868830892 + ... + 2868831324.

Almost surely, 21242203869764 is an apocalyptic number.

1242203869764 is the 1114542-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242203869764

1242203869764 is an abundant number, since it is smaller than the sum of its proper divisors (2631853768995).

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

1242203869764 is a wasteful number, since it uses less digits than its factorization.

1242203869764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 1242203869764 in words is "one trillion, two hundred forty-two billion, two hundred three million, eight hundred sixty-nine thousand, seven hundred sixty-four".