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144211441041 = 347943152289
BaseRepresentation
bin1000011001001110101…
…0111111010110010001
3111210020100021020210000
42012103222333112101
54330321112103131
6150125543400213
713263460011033
oct2062352772621
9453210236700
10144211441041
1156183665128
1223b48153069
13107a3245445
146da0aa1c53
153b40810ce6
hex2193abf591

144211441041 has 40 divisors (see below), whose sum is σ = 218664230400. Its totient is φ = 94701934080.

The previous prime is 144211441009. The next prime is 144211441079. The reversal of 144211441041 is 140144112441.

144211441041 is a `hidden beast` number, since 1 + 4 + 4 + 211 + 441 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 144211441041 - 25 = 144211441009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 144211440996 and 144211441014.

It is not an unprimeable number, because it can be changed into a prime (144211441001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2731825 + ... + 2784113.

It is an arithmetic number, because the mean of its divisors is an integer number (5466605760).

Almost surely, 2144211441041 is an apocalyptic number.

It is an amenable number.

144211441041 is a deficient number, since it is larger than the sum of its proper divisors (74452789359).

144211441041 is an equidigital number, since it uses as much as digits as its factorization.

144211441041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52811 (or 52802 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 144211441041 its reverse (140144112441), we get a palindrome (284355553482).

The spelling of 144211441041 in words is "one hundred forty-four billion, two hundred eleven million, four hundred forty-one thousand, forty-one".

Divisors: 1 3 9 27 79 81 237 431 711 1293 2133 3879 6399 11637 34049 34911 52289 102147 156867 306441 470601 919323 1411803 2757969 4130831 4235409 12392493 22536559 37177479 67609677 111532437 202829031 334597311 608487093 1780388161 1825461279 5341164483 16023493449 48070480347 144211441041