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131141340234234 = 2331110314843144409
BaseRepresentation
bin11101110100010110111001…
…000000000000000111111010
3122012022222201111000112202000
4131310112321000000013322
5114142104431044443414
61142525300000121430
736423435443502321
oct3564267100000772
9565288644015660
10131141340234234
1138870803795060
12128600a1606276
135823762c97005
1424553bbc290b8
15102644951cb09
hex7745b90001fa

131141340234234 has 128 divisors (see below), whose sum is σ = 321028836710400. Its totient is φ = 39351052920960.

The previous prime is 131141340234209. The next prime is 131141340234251. The reversal of 131141340234234 is 432432043141131.

131141340234234 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 4 + 13 + 402 + 3 + 4 + 234 = 666.

It is a super-2 number, since 2×1311413402342342 (a number of 29 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, 908052222 + ... + 908196630.

It is an arithmetic number, because the mean of its divisors is an integer number (2508037786800).

Almost surely, 2131141340234234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131141340234234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160514418355200).

131141340234234 is an abundant number, since it is smaller than the sum of its proper divisors (189887496476166).

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

131141340234234 is a wasteful number, since it uses less digits than its factorization.

131141340234234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159377 (or 159371 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 131141340234234 its reverse (432432043141131), we get a palindrome (563573383375365).

The spelling of 131141340234234 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred forty million, two hundred thirty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 103 198 206 297 309 594 618 927 1133 1854 2266 2781 3399 5562 6798 10197 14843 20394 29686 30591 44529 61182 89058 133587 144409 163273 267174 288818 326546 400761 433227 489819 801522 866454 979638 1299681 1469457 1528829 1588499 2599362 2938914 3057658 3176998 3899043 4408371 4586487 4765497 7798086 8816742 9172974 9530994 13759461 14296491 14874127 16817119 27518922 28592982 29748254 33634238 41278383 42889473 44622381 50451357 82556766 85778946 89244762 100902714 133867143 151354071 163615397 267734286 302708142 327230794 401601429 454062213 490846191 803202858 908124426 981692382 1472538573 2143462787 2945077146 4286925574 4417615719 6430388361 8835231438 12860776722 19291165083 23578090657 38582330166 47156181314 57873495249 70734271971 115746990498 141468543942 212202815913 220776667061 424405631826 441553334122 636608447739 662330001183 1273216895478 1324660002366 1986990003549 2428543337671 3973980007098 4857086675342 5960970010647 7285630013013 11921940021294 14571260026026 21856890039039 43713780078078 65570670117117 131141340234234