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12441420440001 = 3271919433109609
BaseRepresentation
bin1011010100001011111001…
…1100100010000111000001
31122001101110222111211122200
42311002332130202013001
53112320012113040001
642243302030023413
72422601665600560
oct265027634420701
948041428454580
1012441420440001
113a674165448a3
12148b292647b69
136c32b4467707
1431024cc61bd7
1516896ad82086
hexb50be7221c1

12441420440001 has 48 divisors (see below), whose sum is σ = 20648124856320. Its totient is φ = 7071346967040.

The previous prime is 12441420439993. The next prime is 12441420440039. The reversal of 12441420440001 is 10004402414421.

It is a happy number.

12441420440001 is a `hidden beast` number, since 1 + 2 + 4 + 414 + 204 + 40 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 12441420440001 - 23 = 12441420439993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12441420445001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113452485 + ... + 113562093.

It is an arithmetic number, because the mean of its divisors is an integer number (430169267840).

Almost surely, 212441420440001 is an apocalyptic number.

It is an amenable number.

12441420440001 is a deficient number, since it is larger than the sum of its proper divisors (8206704416319).

12441420440001 is a wasteful number, since it uses less digits than its factorization.

12441420440001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119246 (or 119243 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 12441420440001 its reverse (10004402414421), we get a palindrome (22445822854422).

The spelling of 12441420440001 in words is "twelve trillion, four hundred forty-one billion, four hundred twenty million, four hundred forty thousand, one".

Divisors: 1 3 7 9 21 63 191 573 1337 1719 4011 9433 12033 28299 66031 84897 109609 198093 328827 594279 767263 986481 1801703 2301789 5405109 6905367 12611921 16215327 20935319 37835763 62805957 113507289 146547233 188417871 439641699 1033941697 1318925097 3101825091 7237591879 9305475273 21712775637 65138326911 197482864127 592448592381 1382380048889 1777345777143 4147140146667 12441420440001