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211441000144112 = 2485744213487931
BaseRepresentation
bin110000000100110111110001…
…101101000101110011110000
31000201122120011211212020011122
4300010313301231011303300
5210203222132014102422
62025410353212401412
762352052044054044
oct6004676155056360
91021576154766148
10211441000144112
116140a696364782
121b86a823176268
1390c9a5436146b
143a2db286b4024
15196a0eb837d42
hexc04df1b45cf0

211441000144112 has 40 divisors (see below), whose sum is σ = 410237851815792. Its totient is φ = 105573223308800.

The previous prime is 211441000144097. The next prime is 211441000144141.

211441000144112 is nontrivially palindromic in base 10.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 58876787 + ... + 62364717.

Almost surely, 2211441000144112 is an apocalyptic number.

It is an amenable number.

211441000144112 is a deficient number, since it is larger than the sum of its proper divisors (198796851671680).

211441000144112 is a wasteful number, since it uses less digits than its factorization.

211441000144112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493217 (or 3493211 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

It can be divided in two parts, 211441000 and 144112, that added together give a palindrome (211585112).

The spelling of 211441000144112 in words is "two hundred eleven trillion, four hundred forty-one billion, one hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 857 1714 3428 4421 6856 8842 13712 17684 35368 70736 3487931 3788797 6975862 7577594 13951724 15155188 27903448 30310376 55806896 60620752 2989156867 5978313734 11956627468 15420142951 23913254936 30840285902 47826509872 61680571804 123361143608 246722287216 13215062509007 26430125018014 52860250036028 105720500072056 211441000144112