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14201321242010 = 25721011072681807
BaseRepresentation
bin1100111010101000000010…
…1101010011110110011010
31212021122002111100200120012
43032222000231103312122
53330133301214221020
650111555200001522
72664003656566100
oct316520055236632
955248074320505
1014201321242010
114585823682531
1217143899002a2
137c0242c07916
143714c1bddc70
1519962035b7c5
hexcea80b53d9a

14201321242010 has 96 divisors (see below), whose sum is σ = 30310909648128. Its totient is φ = 4775760124800.

The previous prime is 14201321242001. The next prime is 14201321242027. The reversal of 14201321242010 is 1024212310241.

14201321242010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3954527 + ... + 6636333.

It is an arithmetic number, because the mean of its divisors is an integer number (315738642168).

Almost surely, 214201321242010 is an apocalyptic number.

14201321242010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14201321242010 is an abundant number, since it is smaller than the sum of its proper divisors (16109588406118).

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

14201321242010 is a wasteful number, since it uses less digits than its factorization.

14201321242010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682036 (or 2682029 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 14201321242010 its reverse (1024212310241), we get a palindrome (15225533552251).

The spelling of 14201321242010 in words is "fourteen trillion, two hundred one billion, three hundred twenty-one million, two hundred forty-two thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 101 107 202 214 245 490 505 535 707 749 1010 1070 1414 1498 3535 3745 4949 5243 7070 7490 9898 10486 10807 21614 24745 26215 49490 52430 54035 75649 108070 151298 378245 529543 756490 1059086 2647715 2681807 5295430 5363614 13409035 18772649 26818070 37545298 93863245 131408543 187726490 262817086 270862507 286953349 541725014 573906698 657042715 1314085430 1354312535 1434766745 1896037549 2008673443 2708625070 2869533490 3792075098 4017346886 9480187745 10043367215 13272262843 14060714101 18960375490 20086734430 26544525686 28121428202 28982288249 57964576498 66361314215 70303570505 132722628430 140607141010 144911441245 202876017743 289822882490 405752035486 1014380088715 1420132124201 2028760177430 2840264248402 7100660621005 14201321242010