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43144004141001 = 32373072591162881
BaseRepresentation
bin10011100111101001111110…
…00010100111111111001001
312122202112012211101121100100
421303310333002213333021
521123332410030003001
6231432025404200013
712042023433231441
oct1163647702477711
9178675184347310
1043144004141001
11128242a6637325
124a0971b839009
131b0c6013cab4a
14a92276711121
154ec41b974586
hex273d3f0a7fc9

43144004141001 has 48 divisors (see below), whose sum is σ = 64237074789888. Its totient is φ = 27883205683200.

The previous prime is 43144004140889. The next prime is 43144004141003. The reversal of 43144004141001 is 10014140044134.

43144004141001 is a `hidden beast` number, since 4 + 3 + 144 + 0 + 0 + 414 + 100 + 1 = 666.

It is not a de Polignac number, because 43144004141001 - 213 = 43144004132809 is a prime.

It is a super-2 number, since 2×431440041410012 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (43144004141003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264799081 + ... + 264961961.

It is an arithmetic number, because the mean of its divisors is an integer number (1338272391456).

Almost surely, 243144004141001 is an apocalyptic number.

It is an amenable number.

43144004141001 is a deficient number, since it is larger than the sum of its proper divisors (21093070648887).

43144004141001 is a wasteful number, since it uses less digits than its factorization.

43144004141001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165822 (or 165819 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 43144004141001 its reverse (10014140044134), we get a palindrome (53158144185135).

The spelling of 43144004141001 in words is "forty-three trillion, one hundred forty-four billion, four million, one hundred forty-one thousand, one".

Divisors: 1 3 9 37 111 307 333 921 2591 2763 7773 11359 23319 34077 95867 102231 162881 287601 488643 795437 862803 1465929 2386311 6026597 7158933 18079791 29431169 50004467 54239373 88293507 150013401 264880521 422024671 450040203 1266074013 1850165279 3798222039 5550495837 15614912827 16651487511 46844738481 129561573997 140534215443 388684721991 1166054165973 4793778237889 14381334713667 43144004141001