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12441841290348 = 22329107334134743
BaseRepresentation
bin1011010100001101011110…
…0001111100110001101100
31122001102120022102020210120
42311003113201330301230
53112321342332242343
642243411502204540
72422615266012531
oct265032741746154
948042508366716
1012441841290348
113a676120609a8
12148b38b583750
136c33506c94a2
1431028cad2d88
15168992cb3683
hexb50d787cc6c

12441841290348 has 48 divisors (see below), whose sum is σ = 30312703975680. Its totient is φ = 3966847657024.

The previous prime is 12441841290317. The next prime is 12441841290371. The reversal of 12441841290348 is 84309214814421.

It is a happy number.

It is a super-2 number, since 2×124418412903482 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12441841290348.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 167030136 + ... + 167104607.

It is an arithmetic number, because the mean of its divisors is an integer number (631514666160).

Almost surely, 212441841290348 is an apocalyptic number.

It is an amenable number.

12441841290348 is an abundant number, since it is smaller than the sum of its proper divisors (17870862685332).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12441841290348 is a wasteful number, since it uses less digits than its factorization.

12441841290348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334134886 (or 334134884 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 12441841290348 in words is "twelve trillion, four hundred forty-one billion, eight hundred forty-one million, two hundred ninety thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 107 116 174 214 321 348 428 642 1284 3103 6206 9309 12412 18618 37236 334134743 668269486 1002404229 1336538972 2004808458 4009616916 9689907547 19379815094 29069722641 35752417501 38759630188 58139445282 71504835002 107257252503 116278890564 143009670004 214514505006 429029010012 1036820107529 2073640215058 3110460322587 4147280430116 6220920645174 12441841290348