Search a number
-
+
144034301413441 = 349733563036473
BaseRepresentation
bin100000101111111110011001…
…010111110000100001000001
3200212222112201010002120212101
4200233332121113300201001
5122334324222130212231
61230200240011230401
742224064155352055
oct4057763127604101
9625875633076771
10144034301413441
11419916711aa48a
12141a2990148401
13624a4b7a96b7a
14277d424049c65
15119b9e1a33661
hex82ff995f0841

144034301413441 has 8 divisors (see below), whose sum is σ = 144644070170600. Its totient is φ = 143425658731392.

The previous prime is 144034301413439. The next prime is 144034301413463. The reversal of 144034301413441 is 144314103430441.

It can be written as a sum of positive squares in 4 ways, for example, as 111077287141041 + 32957014272400 = 10539321^2 + 5740820^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 144034301413441 - 21 = 144034301413439 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 144034301413441.

It is not an unprimeable number, because it can be changed into a prime (144034301413741) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 281262420 + ... + 281774053.

It is an arithmetic number, because the mean of its divisors is an integer number (18080508771325).

Almost surely, 2144034301413441 is an apocalyptic number.

It is an amenable number.

144034301413441 is a deficient number, since it is larger than the sum of its proper divisors (609768757159).

144034301413441 is an equidigital number, since it uses as much as digits as its factorization.

144034301413441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563037555.

The product of its (nonzero) digits is 110592, while the sum is 37.

Adding to 144034301413441 its reverse (144314103430441), we get a palindrome (288348404843882).

The spelling of 144034301413441 in words is "one hundred forty-four trillion, thirty-four billion, three hundred one million, four hundred thirteen thousand, four hundred forty-one".

Divisors: 1 349 733 255817 563036473 196499729077 412705734709 144034301413441