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241315552041 = 31738167123973
BaseRepresentation
bin1110000010111110000…
…1110001101100101001
3212001212200210012010120
43200233201301230221
512423203240131131
6302505301433453
723302011230334
oct3405741615451
9761780705116
10241315552041
1193383379a33
123a92810b889
13199a9ac33a5
14b97329b61b
1564256be496
hex382f871b29

241315552041 has 16 divisors (see below), whose sum is σ = 340692453504. Its totient is φ = 151408491264.

The previous prime is 241315551979. The next prime is 241315552091. The reversal of 241315552041 is 140255513142.

241315552041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 241315552041 - 219 = 241315027753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 241315551993 and 241315552011.

It is not an unprimeable number, because it can be changed into a prime (241315552091) 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 15 ways as a sum of consecutive naturals, for example, 1884531 + ... + 2008503.

It is an arithmetic number, because the mean of its divisors is an integer number (21293278344).

Almost surely, 2241315552041 is an apocalyptic number.

It is an amenable number.

241315552041 is a deficient number, since it is larger than the sum of its proper divisors (99376901463).

241315552041 is a wasteful number, since it uses less digits than its factorization.

241315552041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162160.

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 241315552041 in words is "two hundred forty-one billion, three hundred fifteen million, five hundred fifty-two thousand, forty-one".

Divisors: 1 3 17 51 38167 114501 123973 371919 648839 1946517 2107541 6322623 4731677491 14195032473 80438517347 241315552041