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214111000111412 = 221716972441760117
BaseRepresentation
bin110000101011101110011010…
…000110101010100100110100
31001002002210220201211220122102
4300223232122012222210310
5211030443312012031122
62035213122514121232
763046003116242345
oct6053563206524464
91032083821756572
10214111000111412
1162249a687785a8
1220020190880218
139261771988811
143ac30560120cc
1519b47b9c89492
hexc2bb9a1aa934

214111000111412 has 48 divisors (see below), whose sum is σ = 397132022559888. Its totient is φ = 100657357946880.

The previous prime is 214111000111301. The next prime is 214111000111439.

214111000111412 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 15845845107856 + 198265155003556 = 3980684^2 + 14080666^2 .

It is a congruent number.

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, 281301578 + ... + 282061694.

It is an arithmetic number, because the mean of its divisors is an integer number (8273583803331).

Almost surely, 2214111000111412 is an apocalyptic number.

It is an amenable number.

214111000111412 is a deficient number, since it is larger than the sum of its proper divisors (183021022448476).

214111000111412 is a wasteful number, since it uses less digits than its factorization.

214111000111412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764276 (or 764274 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

It can be divided in two parts, 214111000 and 111412, that added together give a palindrome (214222412).

The spelling of 214111000111412 in words is "two hundred fourteen trillion, one hundred eleven billion, one hundred eleven thousand, four hundred twelve".

Divisors: 1 2 4 17 34 68 1697 2441 3394 4882 6788 9764 28849 41497 57698 82994 115396 165988 760117 1520234 3040468 4142377 8284754 12921989 16569508 25843978 51687956 70420409 140840818 281681636 1289918549 1855445597 2579837098 3710891194 5159674196 7421782388 21928615333 31542575149 43857230666 63085150298 87714461332 126170300596 3148691178109 6297382356218 12594764712436 53527750027853 107055500055706 214111000111412