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131405425041000 = 23353113981982577
BaseRepresentation
bin11101111000001100110101…
…101011100101111001101000
3122020021020101000011201110010
4131320030311223211321220
5114210421302302303000
61143250452514051520
736451504634353545
oct3570146553457150
9566236330151403
10131405425041000
1138962800781080
12128a3302b79ba0
13584262b0b8c96
1424640b10abbcc
15102d253b1cd50
hex778335ae5e68

131405425041000 has 128 divisors (see below), whose sum is σ = 447256283160960. Its totient is φ = 31855860608000.

The previous prime is 131405425040969. The next prime is 131405425041049. The reversal of 131405425041000 is 140524504131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1990958289 + ... + 1991024288.

It is an arithmetic number, because the mean of its divisors is an integer number (3494189712195).

Almost surely, 2131405425041000 is an apocalyptic number.

131405425041000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131405425041000 is an abundant number, since it is smaller than the sum of its proper divisors (315850858119960).

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

131405425041000 is a wasteful number, since it uses less digits than its factorization.

131405425041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3981982612 (or 3981982598 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 131405425041000 its reverse (140524504131), we get a palindrome (131545949545131).

The spelling of 131405425041000 in words is "one hundred thirty-one trillion, four hundred five billion, four hundred twenty-five million, forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 3981982577 7963965154 11945947731 15927930308 19909912885 23891895462 31855860616 39819825770 43801808347 47783790924 59729738655 79639651540 87603616694 95567581848 99549564425 119459477310 131405425041 159279303080 175207233388 199099128850 219009041735 238918954620 262810850082 298648693275 350414466776 398198257700 438018083470 477837909240 497747822125 525621700164 597297386550 657027125205 796396515400 876036166940 995495644250 1051243400328 1095045208675 1194594773100 1314054250410 1493243466375 1752072333880 1990991288500 2190090417350 2389189546200 2628108500820 2986486932750 3285135626025 3981982577000 4380180834700 5256217001640 5475226043375 5972973865500 6570271252050 8760361669400 10950452086750 11945947731000 13140542504100 16425678130125 21900904173500 26281085008200 32851356260250 43801808347000 65702712520500 131405425041000