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318315690000 = 24335471161251
BaseRepresentation
bin1001010000111010001…
…01111111100000010000
31010102121222010111001000
410220131011333200100
520203402304040000
6402122053542000
731666105502430
oct4503505774020
91112558114030
10318315690000
11112aa69aa290
1251837344900
132402b5916b9
14115998682c0
158430625000
hex4a1d17f810

318315690000 has 1600 divisors, whose sum is σ = 1452567029760. Its totient is φ = 64800000000.

The previous prime is 318315689999. The next prime is 318315690013. The reversal of 318315690000 is 96513813.

It is a happy number.

It is a super-2 number, since 2×3183156900002 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1268189875 + ... + 1268190125.

Almost surely, 2318315690000 is an apocalyptic number.

318315690000 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 318315690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726283514880).

318315690000 is an abundant number, since it is smaller than the sum of its proper divisors (1134251339760).

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

318315690000 is a wasteful number, since it uses less digits than its factorization.

318315690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 318315690000 in words is "three hundred eighteen billion, three hundred fifteen million, six hundred ninety thousand".