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1442153413041 = 311103424287559
BaseRepresentation
bin10100111111000111000…
…010101011100110110001
312002212110011002001022220
4110333013002223212301
5142112012233204131
63022303252351253
7206122622515665
oct24770702534661
95085404061286
101442153413041
11506683006430
121b35ba315529
13a5cc0b59023
144db2cba88a5
15277a8c0ee96
hex14fc70ab9b1

1442153413041 has 16 divisors (see below), whose sum is σ = 2118043499520. Its totient is φ = 865546618320.

The previous prime is 1442153413031. The next prime is 1442153413093. The reversal of 1442153413041 is 1403143512441.

It is not a de Polignac number, because 1442153413041 - 26 = 1442153412977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1442153412993 and 1442153413011.

It is not an unprimeable number, because it can be changed into a prime (1442153413021) 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, 212140381 + ... + 212147178.

It is an arithmetic number, because the mean of its divisors is an integer number (132377718720).

Almost surely, 21442153413041 is an apocalyptic number.

1442153413041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1442153413041 is a deficient number, since it is larger than the sum of its proper divisors (675890086479).

1442153413041 is a wasteful number, since it uses less digits than its factorization.

1442153413041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424287676.

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 1442153413041 its reverse (1403143512441), we get a palindrome (2845296925482).

The spelling of 1442153413041 in words is "one trillion, four hundred forty-two billion, one hundred fifty-three million, four hundred thirteen thousand, forty-one".

Divisors: 1 3 11 33 103 309 1133 3399 424287559 1272862677 4667163149 14001489447 43701618577 131104855731 480717804347 1442153413041