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214412320132441 = 19232953880336263
BaseRepresentation
bin110000110000000111000010…
…001011010100110101011001
31001010011121200020121221211021
4300300013002023110311121
5211100412412423214231
62040003354324002441
763106531113202564
oct6060070213246531
91033147606557737
10214412320132441
1162355832aa7172
122006a664230421
139283cc2112252
143ad387c5a74db
1519bc553290811
hexc301c22d4d59

214412320132441 has 64 divisors (see below), whose sum is σ = 248262995865600. Its totient is φ = 184030446023424.

The previous prime is 214412320132369. The next prime is 214412320132453. The reversal of 214412320132441 is 144231023214412.

It is a cyclic number.

It is not a de Polignac number, because 214412320132441 - 233 = 214403730197849 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 214412320132397 and 214412320132406.

It is not an unprimeable number, because it can be changed into a prime (214412320132541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5912684076 + ... + 5912720338.

It is an arithmetic number, because the mean of its divisors is an integer number (3879109310400).

Almost surely, 2214412320132441 is an apocalyptic number.

It is an amenable number.

214412320132441 is a deficient number, since it is larger than the sum of its proper divisors (33850675733159).

214412320132441 is a wasteful number, since it uses less digits than its factorization.

214412320132441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45190.

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 214412320132441 its reverse (144231023214412), we get a palindrome (358643343346853).

The spelling of 214412320132441 in words is "two hundred fourteen trillion, four hundred twelve billion, three hundred twenty million, one hundred thirty-two thousand, four hundred forty-one".

Divisors: 1 19 23 29 53 437 551 667 1007 1219 1537 8803 12673 23161 29203 35351 36263 167257 202469 255287 466559 671669 688997 834049 1051627 1921939 3846911 4850453 5871601 8864621 10730857 13530211 15846931 19980913 24187421 36516841 44204597 55736231 111560419 203886283 257074009 311194853 319223189 459560999 839887343 1058988389 1281933313 5912702207 6065240591 7342133347 9257472481 16918829017 24356732947 139500533593 175891977139 212921867063 321457751323 389133067391 490646041493 4045515474197 7393528280429 9322274788367 11284858954339 214412320132441