Search a number
-
+
163440202240 = 2957731031213
BaseRepresentation
bin1001100000110111001…
…0111001001000000000
3120121212102120112021201
42120031302321020000
510134211142432430
6203030002430544
714544125540230
oct2301562711000
9517772515251
10163440202240
1163350808007
1227813962454
1312548bca353
147ca6787cc0
1543b89d68ca
hex260dcb9200

163440202240 has 320 divisors, whose sum is σ = 458775922176. Its totient is φ = 54687301632.

The previous prime is 163440202207. The next prime is 163440202243. The reversal of 163440202240 is 42202044361.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 163440202199 and 163440202208.

It is not an unprimeable number, because it can be changed into a prime (163440202243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134739874 + ... + 134741086.

Almost surely, 2163440202240 is an apocalyptic number.

163440202240 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 163440202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229387961088).

163440202240 is an abundant number, since it is smaller than the sum of its proper divisors (295335719936).

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

163440202240 is a wasteful number, since it uses less digits than its factorization.

163440202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 163440202240 in words is "one hundred sixty-three billion, four hundred forty million, two hundred two thousand, two hundred forty".