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2141114341 = 29411819949
BaseRepresentation
bin111111110011110…
…1100111111100101
312112012212212201011
41333213230333211
513341111124331
6552243302221
7104026112602
oct17747547745
95465785634
102141114341
119a966a993
124b907a971
13281784982
1416450d6a9
15c7e893b1
hex7f9ecfe5

2141114341 has 16 divisors (see below), whose sum is σ = 2281734000. Its totient is φ = 2005516800.

The previous prime is 2141114323. The next prime is 2141114383. The reversal of 2141114341 is 1434111412.

It can be written as a sum of positive squares in 8 ways, for example, as 811053441 + 1330060900 = 28479^2 + 36470^2 .

It is a cyclic number.

It is not a de Polignac number, because 2141114341 - 211 = 2141112293 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141114441) 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 15 ways as a sum of consecutive naturals, for example, 210235 + ... + 220183.

It is an arithmetic number, because the mean of its divisors is an integer number (142608375).

Almost surely, 22141114341 is an apocalyptic number.

It is an amenable number.

2141114341 is a deficient number, since it is larger than the sum of its proper divisors (140619659).

2141114341 is a wasteful number, since it uses less digits than its factorization.

2141114341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10200.

The product of its digits is 384, while the sum is 22.

The square root of 2141114341 is about 46272.1767480200. The cubic root of 2141114341 is about 1288.8823805626.

Adding to 2141114341 its reverse (1434111412), we get a palindrome (3575225753).

The spelling of 2141114341 in words is "two billion, one hundred forty-one million, one hundred fourteen thousand, three hundred forty-one".

Divisors: 1 29 41 181 1189 5249 7421 9949 215209 288521 407909 1800769 11829361 52222301 73831529 2141114341