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131212240431040 = 2653492617144893
BaseRepresentation
bin11101110101011000111010…
…111110110010011111000000
3122012120202201122020201111001
4131311120322332302133000
5114144240132022243130
61143022023205301344
736431525431310416
oct3565307276623700
9565522648221431
10131212240431040
113889888703332a
1212871989a04854
13582a351a767a2
1424589c620d2b6
1510281e8b986ca
hex77563afb27c0

131212240431040 has 112 divisors (see below), whose sum is σ = 313363370325600. Its totient is φ = 52331344220160.

The previous prime is 131212240431031. The next prime is 131212240431121. The reversal of 131212240431040 is 40134042212131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2922754834 + ... + 2922799726.

It is an arithmetic number, because the mean of its divisors is an integer number (2797887235050).

Almost surely, 2131212240431040 is an apocalyptic number.

131212240431040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131212240431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156681685162800).

131212240431040 is an abundant number, since it is smaller than the sum of its proper divisors (182151129894560).

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

131212240431040 is a wasteful number, since it uses less digits than its factorization.

131212240431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71430 (or 71420 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 131212240431040 its reverse (40134042212131), we get a palindrome (171346282643171).

The spelling of 131212240431040 in words is "one hundred thirty-one trillion, two hundred twelve billion, two hundred forty million, four hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 349 698 1396 1745 2792 3490 5584 6980 11168 13960 22336 26171 27920 44893 52342 55840 89786 104684 111680 130855 179572 209368 224465 261710 359144 418736 448930 523420 718288 837472 897860 1046840 1436576 1674944 1795720 2093680 2873152 3591440 4187360 7182880 8374720 9133679 14365760 15667657 18267358 31335314 36534716 45668395 62670628 73069432 78338285 91336790 125341256 146138864 156676570 182673580 250682512 292277728 313353140 365347160 501365024 584555456 626706280 730694320 1002730048 1174894703 1253412560 1461388640 2349789406 2506825120 2922777280 4699578812 5013650240 5874473515 9399157624 11748947030 18798315248 23497894060 37596630496 46995788120 75193260992 93991576240 187983152480 375966304960 410038251347 820076502694 1640153005388 2050191256735 3280306010776 4100382513470 6560612021552 8200765026940 13121224043104 16401530053880 26242448086208 32803060107760 65606120215520 131212240431040