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1442130132144 = 2431314291617289
BaseRepresentation
bin10100111111000101101…
…001110111110010110000
312002212101112021020221110
4110333011221313302300
5142111440303212034
63022301101353320
7206122220603442
oct24770551676260
95085345236843
101442130132144
11506670955119
121b35b2568840
13a5cb9097450
144db29a68492
15277a6b61de9
hex14fc5a77cb0

1442130132144 has 80 divisors (see below), whose sum is σ = 4014890079200. Its totient is φ = 443421554688.

The previous prime is 1442130132083. The next prime is 1442130132169. The reversal of 1442130132144 is 4412310312441.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83052 + ... + 1700340.

It is an arithmetic number, because the mean of its divisors is an integer number (50186125990).

Almost surely, 21442130132144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442130132144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007445039600).

1442130132144 is an abundant number, since it is smaller than the sum of its proper divisors (2572759947056).

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

1442130132144 is a wasteful number, since it uses less digits than its factorization.

1442130132144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618742 (or 1618736 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 1442130132144 its reverse (4412310312441), we get a palindrome (5854440444585).

The spelling of 1442130132144 in words is "one trillion, four hundred forty-two billion, one hundred thirty million, one hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1429 2858 4287 5716 8574 11432 17148 18577 22864 34296 37154 55731 68592 74308 111462 148616 222924 297232 445848 891696 1617289 3234578 4851867 6469156 9703734 12938312 19407468 21024757 25876624 38814936 42049514 63074271 77629872 84099028 126148542 168198056 252297084 336396112 504594168 1009188336 2311105981 4622211962 6933317943 9244423924 13866635886 18488847848 27733271772 30044377753 36977695696 55466543544 60088755506 90133133259 110933087088 120177511012 180266266518 240355022024 360532533036 480710044048 721065066072 1442130132144