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131344023131240 = 235171168916524337
BaseRepresentation
bin11101110111010011101001…
…110101111001010001101000
3122020001100212210122112001012
4131313103221311321101220
5114203420024410144430
61143202340010043052
736444202222630433
oct3567235165712150
9566040783575035
10131344023131240
1138939761a20507
1212893427719488
1358398c4091cba
14246112836a81a
15102b85d299695
hex7774e9d79468

131344023131240 has 64 divisors (see below), whose sum is σ = 312934608176400. Its totient is φ = 49442928427008.

The previous prime is 131344023131203. The next prime is 131344023131261. The reversal of 131344023131240 is 42131320443131.

131344023131240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 125801661905956 + 5542361225284 = 11216134^2 + 2354222^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131344023131197 and 131344023131206.

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, 313649 + ... + 16210688.

Almost surely, 2131344023131240 is an apocalyptic number.

131344023131240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131344023131240 is an abundant number, since it is smaller than the sum of its proper divisors (181590585045160).

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

131344023131240 is a wasteful number, since it uses less digits than its factorization.

131344023131240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16536054 (or 16536050 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 131344023131240 its reverse (42131320443131), we get a palindrome (173475343574371).

The spelling of 131344023131240 in words is "one hundred thirty-one trillion, three hundred forty-four billion, twenty-three million, one hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 11689 23378 46756 58445 93512 116890 198713 233780 397426 467560 794852 993565 1589704 1987130 3974260 7948520 16524337 33048674 66097348 82621685 132194696 165243370 280913729 330486740 561827458 660973480 1123654916 1404568645 2247309832 2809137290 5618274580 11236549160 193152975193 386305950386 772611900772 965764875965 1545223801544 1931529751930 3283600578281 3863059503860 6567201156562 7726119007720 13134402313124 16418002891405 26268804626248 32836005782810 65672011565620 131344023131240