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1442356532441 = 1135320446487
BaseRepresentation
bin10100111111010011001…
…001100001010011011001
312002212222022021120202122
4110333103021201103121
5142112421233014231
63022335350111025
7206130640144556
oct24772311412331
95085868246678
101442356532441
1150677772a000
121b365634b475
13a6023c66116
144db4bb5da2d
15277bb98377b
hex14fd32614d9

1442356532441 has 16 divisors (see below), whose sum is σ = 1616417555328. Its totient is φ = 1286492899120.

The previous prime is 1442356532411. The next prime is 1442356532443.

1442356532441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1442356532441 - 26 = 1442356532377 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1442356532392 and 1442356532401.

It is not an unprimeable number, because it can be changed into a prime (1442356532443) 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, 10152701 + ... + 10293786.

It is an arithmetic number, because the mean of its divisors is an integer number (101026097208).

Almost surely, 21442356532441 is an apocalyptic number.

1442356532441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1442356532441 is a deficient number, since it is larger than the sum of its proper divisors (174061022887).

1442356532441 is an equidigital number, since it uses as much as digits as its factorization.

1442356532441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20446573 (or 20446551 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 44.

The spelling of 1442356532441 in words is "one trillion, four hundred forty-two billion, three hundred fifty-six million, five hundred thirty-two thousand, four hundred forty-one".

Divisors: 1 11 53 121 583 1331 6413 70543 20446487 224911357 1083663811 2474024927 11920301921 27214274197 131123321131 1442356532441