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141104303340 = 22357211133747193
BaseRepresentation
bin1000001101101001111…
…0001100110011101100
3111111012210122022010220
42003122132030303230
54302440200201330
6144453350531340
713123460534400
oct2033236146354
9444183568126
10141104303340
1154929778630
122341b666b50
13103c95bb620
146b8816b100
153a0cb57710
hex20da78ccec

141104303340 has 1152 divisors, whose sum is σ = 569272209408. Its totient is φ = 25639649280.

The previous prime is 141104303279. The next prime is 141104303341. The reversal of 141104303340 is 43303401141.

141104303340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 141104303340.

It is not an unprimeable number, because it can be changed into a prime (141104303341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 731110284 + ... + 731110476.

It is an arithmetic number, because the mean of its divisors is an integer number (494159904).

Almost surely, 2141104303340 is an apocalyptic number.

141104303340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141104303340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284636104704).

141104303340 is an abundant number, since it is smaller than the sum of its proper divisors (428167906068).

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

141104303340 is a wasteful number, since it uses less digits than its factorization.

141104303340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 141104303340 its reverse (43303401141), we get a palindrome (184407704481).

It can be divided in two parts, 141104 and 303340, that added together give a palindrome (444444).

The spelling of 141104303340 in words is "one hundred forty-one billion, one hundred four million, three hundred three thousand, three hundred forty".