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1310044434140 = 22513191731997703
BaseRepresentation
bin10011000100000100101…
…110111010111011011100
311122020110020201120112102
4103010010232322323130
5132430432333343030
62441454234424232
7163435056650051
oct23040456727334
94566406646472
101310044434140
1146564aa26232
12191a8b292078
13966c90717b0
1447599597028
1524125b5dc45
hex13104bbaedc

1310044434140 has 192 divisors, whose sum is σ = 3152846592000. Its totient is φ = 453253211136.

The previous prime is 1310044434119. The next prime is 1310044434143. The reversal of 1310044434140 is 414344400131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310044434143) 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, 170065529 + ... + 170073231.

It is an arithmetic number, because the mean of its divisors is an integer number (16421076000).

Almost surely, 21310044434140 is an apocalyptic number.

1310044434140 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 1310044434140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576423296000).

1310044434140 is an abundant number, since it is smaller than the sum of its proper divisors (1842802157860).

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

1310044434140 is a wasteful number, since it uses less digits than its factorization.

1310044434140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8116 (or 8114 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 1310044434140 its reverse (414344400131), we get a palindrome (1724388834271).

The spelling of 1310044434140 in words is "one trillion, three hundred ten billion, forty-four million, four hundred thirty-four thousand, one hundred forty".