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131280067440 = 24335181409821
BaseRepresentation
bin111101001000011100…
…1101101101101110000
3110112212010121102001000
41322100321231231300
54122330144124230
6140150443242000
712325146106254
oct1722071555560
9415763542030
10131280067440
11507481a2805
1221539519300
13c4c2150ca2
1464d54bc264
153635417b60
hex1e90e6db70

131280067440 has 320 divisors, whose sum is σ = 456352041600. Its totient is φ = 34687180800.

The previous prime is 131280067439. The next prime is 131280067441. The reversal of 131280067440 is 44760082131.

131280067440 is a `hidden beast` number, since 131 + 2 + 80 + 0 + 6 + 7 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (131280067439) and next prime (131280067441).

It is a super-2 number, since 2×1312800674402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131280067395 and 131280067404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131280067441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159902230 + ... + 159903050.

It is an arithmetic number, because the mean of its divisors is an integer number (1426100130).

Almost surely, 2131280067440 is an apocalyptic number.

131280067440 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 131280067440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228176020800).

131280067440 is an abundant number, since it is smaller than the sum of its proper divisors (325071974160).

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

131280067440 is a wasteful number, since it uses less digits than its factorization.

131280067440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 131280067440 in words is "one hundred thirty-one billion, two hundred eighty million, sixty-seven thousand, four hundred forty".