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312404424040134 = 232211821100188773
BaseRepresentation
bin100011100001000010101001…
…0101110001001111011000110
31111222010120102110012120210200
41013002011102232021323012
5311421413230023241014
63024232340001031330
7122542321600225566
oct10702052256117306
91458116373176720
10312404424040134
11905a5a77005538
122b0560a1625546
13105417c2b6205a
145720651d8cda6
15261b55175ea09
hex11c2152b89ec6

312404424040134 has 48 divisors (see below), whose sum is σ = 680912563981104. Its totient is φ = 103515039230400.

The previous prime is 312404424040133. The next prime is 312404424040183. The reversal of 312404424040134 is 431040424404213.

312404424040134 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 0 + 4 + 4 + 240 + 401 + 3 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312404424040133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46976229 + ... + 53212544.

It is an arithmetic number, because the mean of its divisors is an integer number (14185678416273).

Almost surely, 2312404424040134 is an apocalyptic number.

312404424040134 is an abundant number, since it is smaller than the sum of its proper divisors (368508139940970).

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

312404424040134 is a wasteful number, since it uses less digits than its factorization.

312404424040134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100189813 (or 100189810 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 312404424040134 its reverse (431040424404213), we get a palindrome (743444848444347).

The spelling of 312404424040134 in words is "three hundred twelve trillion, four hundred four billion, four hundred twenty-four million, forty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 211 422 633 821 1266 1642 1899 2463 3798 4926 7389 14778 173231 346462 519693 1039386 1559079 3118158 100188773 200377546 300566319 601132638 901698957 1803397914 21139831103 42279662206 63419493309 82254982633 126838986618 164509965266 190258479927 246764947899 380516959854 493529895798 740294843697 1480589687394 17355801335563 34711602671126 52067404006689 104134808013378 156202212020067 312404424040134