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12442300324420 = 2254144933794069
BaseRepresentation
bin1011010100001111001011…
…1001000001101001000100
31122001110202022011121011111
42311003302321001221010
53112323312340340140
642243525221014404
72422632541516351
oct265036271015104
948043668147144
1012442300324420
113a67828187aaa
12148b499254404
136c33c483a195
143102d3a63628
151689bd2387ea
hexb50f2e41a44

12442300324420 has 48 divisors (see below), whose sum is σ = 26825732766000. Its totient is φ = 4844717588480.

The previous prime is 12442300324403. The next prime is 12442300324451. The reversal of 12442300324420 is 2442300324421.

It can be written as a sum of positive squares in 8 ways, for example, as 4329054487044 + 8113245837376 = 2080638^2 + 2848376^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16528855 + ... + 17265214.

It is an arithmetic number, because the mean of its divisors is an integer number (558869432625).

Almost surely, 212442300324420 is an apocalyptic number.

12442300324420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12442300324420 is an abundant number, since it is smaller than the sum of its proper divisors (14383432441580).

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

12442300324420 is a wasteful number, since it uses less digits than its factorization.

12442300324420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33794568 (or 33794566 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 12442300324420 its reverse (2442300324421), we get a palindrome (14884600648841).

Subtracting from 12442300324420 its reverse (2442300324421), we obtain a palindrome (9999999999999).

The spelling of 12442300324420 in words is "twelve trillion, four hundred forty-two billion, three hundred million, three hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 449 820 898 1796 2245 4490 8980 18409 36818 73636 92045 184090 368180 33794069 67588138 135176276 168970345 337940690 675881380 1385556829 2771113658 5542227316 6927784145 13855568290 15173536981 27711136580 30347073962 60694147924 75867684905 151735369810 303470739620 622115016221 1244230032442 2488460064884 3110575081105 6221150162210 12442300324420