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312414000230412 = 223266924712967061
BaseRepresentation
bin100011100001000111000110…
…1100000011011000000001100
31111222011111010211111110021200
41013002032031200123000030
5311422042333024333122
63024241002124025500
7122543111110421643
oct10702161540330014
91458144124443250
10312414000230412
11905aa040571a83
122b057b14692290
131054268aac2732
145720cbdb1035a
15261b9123045ac
hex11c238d81b00c

312414000230412 has 36 divisors (see below), whose sum is σ = 789714408153216. Its totient is φ = 104137836441120.

The previous prime is 312414000230369. The next prime is 312414000230419. The reversal of 312414000230412 is 214032000414213.

312414000230412 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 14 + 0 + 0 + 0 + 230 + 412 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (312414000230419) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17609362 + ... + 30576422.

Almost surely, 2312414000230412 is an apocalyptic number.

It is an amenable number.

312414000230412 is an abundant number, since it is smaller than the sum of its proper divisors (477300407922804).

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

312414000230412 is a wasteful number, since it uses less digits than its factorization.

312414000230412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13636318 (or 13636313 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 312414000230412 its reverse (214032000414213), we get a palindrome (526446000644625).

The spelling of 312414000230412 in words is "three hundred twelve trillion, four hundred fourteen billion, two hundred thirty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 669247 1338494 2007741 2676988 4015482 6023223 8030964 12046446 12967061 24092892 25934122 38901183 51868244 77802366 116703549 155604732 233407098 466814196 8678166673067 17356333346134 26034500019201 34712666692268 52069000038402 78103500057603 104138000076804 156207000115206 312414000230412