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1144104223041 = 331319171555589
BaseRepresentation
bin10000101001100001111…
…011010000000101000001
311001101010120221102211000
4100221201323100011001
5122221111140114131
62233332204042213
7145441653303123
oct20514173200501
94041116842730
101144104223041
114012370095aa
1216589a233369
1383b72240c80
143d536b99213
151eb62948ce6
hex10a61ed0141

1144104223041 has 32 divisors (see below), whose sum is σ = 1921422608000. Its totient is φ = 667008126144.

The previous prime is 1144104223039. The next prime is 1144104223081. The reversal of 1144104223041 is 1403224014411.

1144104223041 is a `hidden beast` number, since 1 + 14 + 410 + 4 + 2 + 230 + 4 + 1 = 666.

It is not a de Polignac number, because 1144104223041 - 21 = 1144104223039 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1144104222996 and 1144104223014.

It is not an unprimeable number, because it can be changed into a prime (1144104223081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85771126 + ... + 85784463.

It is an arithmetic number, because the mean of its divisors is an integer number (60044456500).

Almost surely, 21144104223041 is an apocalyptic number.

It is an amenable number.

1144104223041 is a deficient number, since it is larger than the sum of its proper divisors (777318384959).

1144104223041 is a wasteful number, since it uses less digits than its factorization.

1144104223041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171555630 (or 171555624 counting only the distinct ones).

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

Adding to 1144104223041 its reverse (1403224014411), we get a palindrome (2547328237452).

The spelling of 1144104223041 in words is "one trillion, one hundred forty-four billion, one hundred four million, two hundred twenty-three thousand, forty-one".

Divisors: 1 3 9 13 19 27 39 57 117 171 247 351 513 741 2223 6669 171555589 514666767 1544000301 2230222657 3259556191 4632000903 6690667971 9778668573 20072003913 29336005719 42374230483 60216011739 88008017157 127122691449 381368074347 1144104223041