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214312244231410 = 25132957798521229
BaseRepresentation
bin110000101110101001110101…
…001100000011110011110010
31001002211001100210011102221021
4300232221311030003303302
5211042242434010401120
62035445404050050054
763066356125112353
oct6056516514036362
91032731323142837
10214312244231410
116231734883a546
1220053194b7992a
139277733979070
143accaa7429d2a
1519b9b47561aaa
hexc2ea75303cf2

214312244231410 has 64 divisors (see below), whose sum is σ = 430506248306400. Its totient is φ = 76269617528832.

The previous prime is 214312244231387. The next prime is 214312244231413. The reversal of 214312244231410 is 14132442213412.

214312244231410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 43582297652721 + 170729946578689 = 6601689^2 + 13066367^2 .

It is not an unprimeable number, because it can be changed into a prime (214312244231413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47085325 + ... + 51435904.

Almost surely, 2214312244231410 is an apocalyptic number.

214312244231410 is an abundant number, since it is smaller than the sum of its proper divisors (216194004074990).

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

214312244231410 is a wasteful number, since it uses less digits than its factorization.

214312244231410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98521855.

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

Adding to 214312244231410 its reverse (14132442213412), we get a palindrome (228444686444822).

The spelling of 214312244231410 in words is "two hundred fourteen trillion, three hundred twelve billion, two hundred forty-four million, two hundred thirty-one thousand, four hundred ten".

Divisors: 1 2 5 10 13 26 29 58 65 130 145 290 377 577 754 1154 1885 2885 3770 5770 7501 15002 16733 33466 37505 75010 83665 167330 217529 435058 1087645 2175290 98521229 197042458 492606145 985212290 1280775977 2561551954 2857115641 5714231282 6403879885 12807759770 14285578205 28571156410 37142503333 56846749133 74285006666 113693498266 185712516665 284233745665 371425033330 568467491330 739007738729 1478015477458 1648555724857 3297111449714 3695038693645 7390077387290 8242778624285 16485557248570 21431224423141 42862448846282 107156122115705 214312244231410