Search a number
-
+
327019069440 = 216325723173
BaseRepresentation
bin1001100001000111101…
…10110000000000000000
31011021002112001222010200
410300203312300000000
520324213340210230
6410121441325200
732424560140500
oct4604366600000
91137075058120
10327019069440
11116762815058
1253466036800
1324ab775816b
1411b83709a00
15878e75e160
hex4c23db0000

327019069440 has 1224 divisors, whose sum is σ = 1379932265088. Its totient is φ = 71345111040.

The previous prime is 327019069417. The next prime is 327019069483. The reversal of 327019069440 is 44960910723.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4479713244 + ... + 4479713316.

Almost surely, 2327019069440 is an apocalyptic number.

327019069440 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 327019069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689966132544).

327019069440 is an abundant number, since it is smaller than the sum of its proper divisors (1052913195648).

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

327019069440 is an equidigital number, since it uses as much as digits as its factorization.

327019069440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 327019069440 in words is "three hundred twenty-seven billion, nineteen million, sixty-nine thousand, four hundred forty".