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14412441100212 = 2232717360976603
BaseRepresentation
bin1101000110111010100001…
…1011101001111110110100
31220000211000210121200211200
43101232220123221332310
53342113134410201322
650352552315132500
73015156504016551
oct321565033517664
956024023550750
1014412441100212
1146573112a6791
121749289444130
13807119c2893c
1437b7cca71a28
1519ed79b488ac
hexd1ba86e9fb4

14412441100212 has 72 divisors (see below), whose sum is σ = 36945551522880. Its totient is φ = 4736356813440.

The previous prime is 14412441100207. The next prime is 14412441100237. The reversal of 14412441100212 is 21200114421441.

14412441100212 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 2 + 441 + 1 + 0 + 0 + 212 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188106303 + ... + 188182905.

It is an arithmetic number, because the mean of its divisors is an integer number (513132660040).

Almost surely, 214412441100212 is an apocalyptic number.

14412441100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14412441100212 is an abundant number, since it is smaller than the sum of its proper divisors (22533110422668).

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

14412441100212 is a wasteful number, since it uses less digits than its factorization.

14412441100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150293 (or 150288 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 14412441100212 its reverse (21200114421441), we get a palindrome (35612555521653).

The spelling of 14412441100212 in words is "fourteen trillion, four hundred twelve billion, four hundred forty-one million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 73609 76603 147218 153206 220827 229809 294436 306412 441654 459618 662481 689427 883308 919236 1324962 1378854 2649924 2757708 5226239 5438813 10452478 10877626 15678717 16316439 20904956 21755252 31357434 32632878 47036151 48949317 62714868 65265756 94072302 97898634 188144604 195797268 5638670227 11277340454 16916010681 22554680908 33832021362 50748032043 67664042724 101496064086 202992128172 400345586117 800691172234 1201036758351 1601382344468 2402073516702 3603110275053 4804147033404 7206220550106 14412441100212