315143434020 has 192 divisors, whose sum is σ = 966584731392. Its totient is φ = 76400640000.

The previous prime is 315143433989. The next prime is 315143434027. The reversal of 315143434020 is 20434341513.

It is a super-3 number, since 3×315143434020³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (315143434027) 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, 4186515 + ... + 4261125.

It is an arithmetic number, because the mean of its divisors is an integer number (5034295476).

Almost surely, 2^315143434020 is an apocalyptic number.

315143434020 is a gapful number since it is divisible by the number (30) 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 315143434020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483292365696).

315143434020 is an abundant number, since it is smaller than the sum of its proper divisors (651441297372).

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

315143434020 is a wasteful number, since it uses less digits than its factorization.

315143434020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74782 (or 74780 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 315143434020 its reverse (20434341513), we get a palindrome (335577775533).

The spelling of 315143434020 in words is "three hundred fifteen billion, one hundred forty-three million, four hundred thirty-four thousand, twenty".