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1442354532441 = 33832207568787
BaseRepresentation
bin10100111111010011000…
…001111001000001011001
312002212222011111222021120
4110333103001321001121
5142112420230014231
63022335235155453
7206130614144634
oct24772301710131
95085864458246
101442354532441
11506776593409
121b3655745b89
13a60237159a4
144db4b79cc1b
15277bb6dad96
hex14fd3079059

1442354532441 has 16 divisors (see below), whose sum is σ = 1929037676544. Its totient is φ = 958622823824.

The previous prime is 1442354532431. The next prime is 1442354532503.

1442354532441 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1442354532441 - 215 = 1442354499673 is a prime.

It is a super-3 number, since 3×14423545324413 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1442354532393 and 1442354532402.

It is not an unprimeable number, because it can be changed into a prime (1442354532431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2251450 + ... + 2820236.

It is an arithmetic number, because the mean of its divisors is an integer number (120564854784).

Almost surely, 21442354532441 is an apocalyptic number.

It is an amenable number.

1442354532441 is a deficient number, since it is larger than the sum of its proper divisors (486683144103).

1442354532441 is a wasteful number, since it uses less digits than its factorization.

1442354532441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571380.

The product of its digits is 921600, while the sum is 42.

The spelling of 1442354532441 in words is "one trillion, four hundred forty-two billion, three hundred fifty-four million, five hundred thirty-two thousand, four hundred forty-one".

Divisors: 1 3 383 1149 2207 6621 568787 845281 1706361 2535843 217845421 653536263 1255312909 3765938727 480784844147 1442354532441