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312141130323042 = 231941537451169111
BaseRepresentation
bin100011011111001000000010…
…1001100010101010001100010
31111221012101211001121221010010
41012332100011030111101202
5311403110013330314132
63023511353342545350
7122514311123450256
oct10676200514252142
91457171731557103
10312141130323042
1190504345623939
122b013060b98256
1310522a228c3397
1457119d5bd6266
1526147918266cc
hex11be405315462

312141130323042 has 128 divisors (see below), whose sum is σ = 685964378695680. Its totient is φ = 94339028160000.

The previous prime is 312141130322999. The next prime is 312141130323067. The reversal of 312141130323042 is 240323031141213.

It is a super-2 number, since 2×3121411303230422 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1845692067 + ... + 1845861177.

It is an arithmetic number, because the mean of its divisors is an integer number (5359096708560).

Almost surely, 2312141130323042 is an apocalyptic number.

312141130323042 is an abundant number, since it is smaller than the sum of its proper divisors (373823248372638).

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

312141130323042 is a wasteful number, since it uses less digits than its factorization.

312141130323042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176680.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 312141130323042 its reverse (240323031141213), we get a palindrome (552464161464255).

The spelling of 312141130323042 in words is "three hundred twelve trillion, one hundred forty-one billion, one hundred thirty million, three hundred twenty-three thousand, forty-two".

Divisors: 1 2 3 6 19 38 41 53 57 82 106 114 123 159 246 318 779 1007 1558 2014 2173 2337 3021 4346 4674 6042 6519 7451 13038 14902 22353 41287 44706 82574 123861 141569 169111 247722 283138 305491 338222 394903 424707 507333 610982 789806 849414 916473 1014666 1184709 1832946 2369418 3213109 5804329 6426218 6933551 7503157 8962883 9639327 11608658 13867102 15006314 16191023 17412987 17925766 19278654 20800653 22509471 26888649 32382046 34825974 41601306 45018942 48573069 53777298 97146138 131737469 170294777 263474938 307629437 340589554 367478203 395212407 510884331 615258874 734956406 790424814 922888311 1021768662 1102434609 1260046061 1845776622 2204869218 2520092122 3780138183 6982085857 7560276366 13964171714 20946257571 23940875159 41892515142 47881750318 51661888501 66782441233 71822625477 103323777002 133564882466 143645250954 154985665503 200347323699 309971331006 400694647398 981575881519 1268866383427 1963151763038 2537732766854 2738080090553 2944727644557 3806599150281 5476160181106 5889455289114 7613198300562 8214240271659 16428480543318 52023521720507 104047043441014 156070565161521 312141130323042