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131344313300240 = 24515231078006511
BaseRepresentation
bin11101110111010011111011…
…001000110011010100010000
3122020001101122000122122002012
4131313103323020303110100
5114203421123201101430
61143202424453242052
736444212345213255
oct3567237310632420
9566041560578065
10131344313300240
11389398a079a7a7
12128934a8933328
13583993c22a131
142461154b0142c
15102b8789b5695
hex7774fb233510

131344313300240 has 40 divisors (see below), whose sum is σ = 305576037917568. Its totient is φ = 52503229063040.

The previous prime is 131344313300219. The next prime is 131344313300243. The reversal of 131344313300240 is 42003313443131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 131344313300197 and 131344313300206.

It is not an unprimeable number, because it can be changed into a prime (131344313300243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 538881416 + ... + 539125095.

Almost surely, 2131344313300240 is an apocalyptic number.

131344313300240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131344313300240 is an abundant number, since it is smaller than the sum of its proper divisors (174231724617328).

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

131344313300240 is a wasteful number, since it uses less digits than its factorization.

131344313300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078008047 (or 1078008041 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 131344313300240 its reverse (42003313443131), we get a palindrome (173347626743371).

The spelling of 131344313300240 in words is "one hundred thirty-one trillion, three hundred forty-four billion, three hundred thirteen million, three hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1523 3046 6092 7615 12184 15230 24368 30460 60920 121840 1078006511 2156013022 4312026044 5390032555 8624052088 10780065110 17248104176 21560130220 43120260440 86240520880 1641803916253 3283607832506 6567215665012 8209019581265 13134431330024 16418039162530 26268862660048 32836078325060 65672156650120 131344313300240