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131343443200040 = 23517290966398117
BaseRepresentation
bin11101110111010011000111…
…010001101000100000101000
3122020001022101101101221222212
4131313103013101220200220
5114203412332424400130
61143202202252104252
736444151651405061
oct3567230721504050
9566038341357885
10131343443200040
113893949462a625
12128932a5465088
135839830ba1c46
1424610b1329568
15102b8273e2e95
hex7774c7468828

131343443200040 has 64 divisors (see below), whose sum is σ = 313014007875600. Its totient is φ = 49429944659968.

The previous prime is 131343443199973. The next prime is 131343443200043. The reversal of 131343443200040 is 40002344343131.

It can be written as a sum of positive squares in 8 ways, for example, as 106408261131844 + 24935182068196 = 10315438^2 + 4993514^2 .

It is a super-2 number, since 2×1313434432000402 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131343443200043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31220939 + ... + 35177178.

Almost surely, 2131343443200040 is an apocalyptic number.

131343443200040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131343443200040 is an abundant number, since it is smaller than the sum of its proper divisors (181670564675560).

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

131343443200040 is a wasteful number, since it uses less digits than its factorization.

131343443200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66401054 (or 66401050 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 131343443200040 its reverse (40002344343131), we get a palindrome (171345787543171).

The spelling of 131343443200040 in words is "one hundred thirty-one trillion, three hundred forty-three billion, four hundred forty-three million, two hundred thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 2909 5818 11636 14545 23272 29090 49453 58180 98906 116360 197812 247265 395624 494530 989060 1978120 66398117 132796234 265592468 331990585 531184936 663981170 1128767989 1327962340 2257535978 2655924680 4515071956 5643839945 9030143912 11287679890 22575359780 45150719560 193152122353 386304244706 772608489412 965760611765 1545216978824 1931521223530 3283586080001 3863042447060 6567172160002 7726084894120 13134344320004 16417930400005 26268688640008 32835860800010 65671721600020 131343443200040