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1442242410399 = 327171346631569
BaseRepresentation
bin10100111111001100010…
…110001011011110011111
312002212200100112120202100
4110333030112023132133
5142112203024113044
63022320152100143
7206125053134340
oct24771426133637
95085610476670
101442242410399
1150671927246a
121b3624094653
13a600641979b
144db3a9340c7
15277b193e869
hex14fcc58b79f

1442242410399 has 24 divisors (see below), whose sum is σ = 2520894299040. Its totient is φ = 775659783168.

The previous prime is 1442242410347. The next prime is 1442242410407. The reversal of 1442242410399 is 9930142422441.

1442242410399 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 242 + 4 + 10 + 399 = 666.

It is not a de Polignac number, because 1442242410399 - 212 = 1442242406303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442242410799) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 673314714 + ... + 673316855.

It is an arithmetic number, because the mean of its divisors is an integer number (105037262460).

Almost surely, 21442242410399 is an apocalyptic number.

1442242410399 is a deficient number, since it is larger than the sum of its proper divisors (1078651888641).

1442242410399 is a wasteful number, since it uses less digits than its factorization.

1442242410399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346631599 (or 1346631596 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 1442242410399 in words is "one trillion, four hundred forty-two billion, two hundred forty-two million, four hundred ten thousand, three hundred ninety-nine".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 1346631569 4039894707 9426420983 12119684121 22892736673 28279262949 68678210019 84837788847 160249156711 206034630057 480747470133 1442242410399