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2241144154041 = 313312985162099
BaseRepresentation
bin100000100111001110100…
…110011110011110111001
321221020210012010010020120
4200213032212132132321
5243204330400412131
64433322321043453
7320626432664652
oct40471646363671
97836705103216
102241144154041
117945114a2981
12302422786589
131334539a6010
147a687092529
153d46d5e2496
hex209ce99e7b9

2241144154041 has 32 divisors (see below), whose sum is σ = 3322026086400. Its totient is φ = 1334610216000.

The previous prime is 2241144154033. The next prime is 2241144154057. The reversal of 2241144154041 is 1404514411422.

It is not a de Polignac number, because 2241144154041 - 23 = 2241144154033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2241144153993 and 2241144154011.

It is not an unprimeable number, because it can be changed into a prime (2241144154141) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 36058810 + ... + 36120908.

It is an arithmetic number, because the mean of its divisors is an integer number (103813315200).

Almost surely, 22241144154041 is an apocalyptic number.

It is an amenable number.

2241144154041 is a deficient number, since it is larger than the sum of its proper divisors (1080881932359).

2241144154041 is a wasteful number, since it uses less digits than its factorization.

2241144154041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91997.

The product of its (nonzero) digits is 20480, while the sum is 33.

Adding to 2241144154041 its reverse (1404514411422), we get a palindrome (3645658565463).

The spelling of 2241144154041 in words is "two trillion, two hundred forty-one billion, one hundred forty-four million, one hundred fifty-four thousand, forty-one".

Divisors: 1 3 13 31 39 93 403 1209 29851 62099 89553 186297 388063 807287 925381 1164189 1925069 2421861 2776143 5775207 12029953 25025897 36089859 75077691 1853717249 5561151747 24098324237 57465234719 72294972711 172395704157 747048051347 2241144154041