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131343230431434 = 237311071098649409
BaseRepresentation
bin11101110111010010111010…
…100101111111000011001010
3122020001021211120001012100010
4131313102322211333003022
5114203411413442301214
61143202125211452350
736444143456040330
oct3567227245770312
9566037746035303
10131343230431434
11389393955163aa
12128932461570b6
1358397c8a96b68
142461090d81b50
15102b8138b5659
hex7774ba97f0ca

131343230431434 has 128 divisors (see below), whose sum is σ = 315663331737600. Its totient is φ = 35646632202240.

The previous prime is 131343230431367. The next prime is 131343230431463. The reversal of 131343230431434 is 434134032343131.

It is a junction number, because it is equal to n+sod(n) for n = 131343230431392 and 131343230431401.

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, 10860522 + ... + 19509930.

It is an arithmetic number, because the mean of its divisors is an integer number (2466119779200).

Almost surely, 2131343230431434 is an apocalyptic number.

131343230431434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131343230431434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157831665868800).

131343230431434 is an abundant number, since it is smaller than the sum of its proper divisors (184320101306166).

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

131343230431434 is a wasteful number, since it uses less digits than its factorization.

131343230431434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8649668.

The product of its (nonzero) digits is 373248, while the sum is 39.

Adding to 131343230431434 its reverse (434134032343131), we get a palindrome (565477262774565).

The spelling of 131343230431434 in words is "one hundred thirty-one trillion, three hundred forty-three billion, two hundred thirty million, four hundred thirty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 107 109 186 214 217 218 321 327 434 642 651 654 749 763 1302 1498 1526 2247 2289 3317 3379 4494 4578 6634 6758 9951 10137 11663 19902 20274 23219 23326 23653 34989 46438 47306 69657 69978 70959 81641 139314 141918 163282 244923 361553 489846 723106 1084659 2169318 2530871 5061742 7592613 8649409 15185226 17298818 25948227 51896454 60545863 121091726 181637589 268131679 363275178 536263358 804395037 925486763 942785581 1608790074 1850973526 1876921753 1885571162 2776460289 2828356743 3753843506 5552920578 5630765259 5656713486 6478407341 6599499067 11261530518 12956814682 13198998134 19435222023 19798497201 28690089653 29226353011 38870444046 39596994402 57380179306 58452706022 86070268959 87679059033 100878057167 172140537918 175358118066 200830627571 201756114334 204584471077 302634171501 401661255142 409168942154 602491882713 605268343002 613753413231 706146400169 1204983765426 1227506826462 1412292800338 2118439200507 3127219772177 4236878401014 6254439544354 9381659316531 18763318633062 21890538405239 43781076810478 65671615215717 131343230431434