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141114202411140 = 223257215999342677
BaseRepresentation
bin100000000101011110110101…
…111010000101000010000100
3200111122101102101122112210100
4200011132311322011002010
5121444003341304124030
61220042545235324100
741503110325361100
oct4005366572050204
9614571371575710
10141114202411140
1140a6621946aa02
12139b0a64a50630
136098020a1743a
1426bbd6caba900
15114aa86c54360
hex8057b5e85084

141114202411140 has 108 divisors (see below), whose sum is σ = 497931542824716. Its totient is φ = 32254674834816.

The previous prime is 141114202411109. The next prime is 141114202411177. The reversal of 141114202411140 is 41114202411141.

It is a happy number.

141114202411140 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 1 + 4 + 202 + 411 + 1 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80838512568576 + 60275689842564 = 8991024^2 + 7763742^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7999662519 + ... + 7999680158.

It is an arithmetic number, because the mean of its divisors is an integer number (4610477248377).

Almost surely, 2141114202411140 is an apocalyptic number.

141114202411140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141114202411140 is an abundant number, since it is smaller than the sum of its proper divisors (356817340413576).

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

141114202411140 is a wasteful number, since it uses less digits than its factorization.

141114202411140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15999342706 (or 15999342694 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 141114202411140 its reverse (41114202411141), we get a palindrome (182228404822281).

Subtracting from 141114202411140 its reverse (41114202411141), we obtain a palindrome (99999999999999).

The spelling of 141114202411140 in words is "one hundred forty-one trillion, one hundred fourteen billion, two hundred two million, four hundred eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 15999342677 31998685354 47998028031 63997370708 79996713385 95996056062 111995398739 143994084093 159993426770 191992112124 223990797478 239990140155 287988168186 319986853540 335986196217 447981594956 479980280310 559976993695 575976336372 671972392434 719970420465 783967791173 959960560620 1007958588651 1119953987390 1343944784868 1439940840930 1567935582346 1679930981085 2015917177302 2239907974780 2351903373519 2879881681860 3135871164692 3359861962170 3919838955865 4031834354604 4703806747038 5039792943255 6719723924340 7055710120557 7839677911730 9407613494076 10079585886510 11759516867595 14111420241114 15679355823460 20159171773020 23519033735190 28222840482228 35278550602785 47038067470380 70557101205570 141114202411140