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2144848121 = 132157229353
BaseRepresentation
bin111111111010111…
…1100100011111001
312112110220120111022
41333311330203321
513343040114441
6552455312225
7104102623343
oct17765744371
95473816438
102144848121
11a00790159
124ba37b675
13282491300
14164c02293
15c847584b
hex7fd7c8f9

2144848121 has 24 divisors (see below), whose sum is σ = 2354177880. Its totient is φ = 1953110016.

The previous prime is 2144848109. The next prime is 2144848171. The reversal of 2144848121 is 1218484412.

It can be written as a sum of positive squares in 12 ways, for example, as 841638121 + 1303210000 = 29011^2 + 36100^2 .

It is a de Polignac number, because none of the positive numbers 2k-2144848121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2144848171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6075881 + ... + 6076233.

It is an arithmetic number, because the mean of its divisors is an integer number (98090745).

Almost surely, 22144848121 is an apocalyptic number.

It is an amenable number.

2144848121 is a deficient number, since it is larger than the sum of its proper divisors (209329759).

2144848121 is a wasteful number, since it uses less digits than its factorization.

2144848121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 752 counting only the distinct ones).

The product of its digits is 16384, while the sum is 35.

The square root of 2144848121 is about 46312.5050175436. The cubic root of 2144848121 is about 1289.6311508799.

The spelling of 2144848121 in words is "two billion, one hundred forty-four million, eight hundred forty-eight thousand, one hundred twenty-one".

Divisors: 1 13 157 169 229 353 2041 2977 4589 26533 35953 38701 55421 59657 80837 467389 720473 1050881 6076057 9366149 12691409 13661453 164988317 2144848121