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312404044012341 = 3831362792069767
BaseRepresentation
bin100011100001000010011110…
…0000100011101101100110101
31111222010112102222010011200020
41013002010330010131230311
5311421411440231343331
63024232234143435353
7122542306304106051
oct10702047404355465
91458115388104606
10312404044012341
11905a58a1540a86
122b055bb62b5b59
13105417621c4338
145720617706c61
15261b52d1e3c96
hex11c213c11db35

312404044012341 has 16 divisors (see below), whose sum is σ = 421588204230144. Its totient is φ = 205744991568624.

The previous prime is 312404044012283. The next prime is 312404044012387. The reversal of 312404044012341 is 143210440404213.

It is a happy number.

It is not a de Polignac number, because 312404044012341 - 27 = 312404044012213 is a prime.

It is a super-2 number, since 2×3124040440123412 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312404044012441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42641761 + ... + 49428006.

It is an arithmetic number, because the mean of its divisors is an integer number (26349262764384).

Almost surely, 2312404044012341 is an apocalyptic number.

It is an amenable number.

312404044012341 is a deficient number, since it is larger than the sum of its proper divisors (109184160217803).

312404044012341 is a wasteful number, since it uses less digits than its factorization.

312404044012341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92083480.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 312404044012341 its reverse (143210440404213), we get a palindrome (455614484416554).

The spelling of 312404044012341 in words is "three hundred twelve trillion, four hundred four billion, forty-four million, twelve thousand, three hundred forty-one".

Divisors: 1 3 83 249 13627 40881 1131041 3393123 92069767 276209301 7641790661 22925371983 1254634714909 3763904144727 104134681337447 312404044012341