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243142144 = 297179379
BaseRepresentation
bin11100111111000…
…00111000000000
3121221111220022121
432133200320000
5444221022034
640043214024
76011450140
oct1637407000
9557456277
10243142144
1111527a323
1269517314
133b4b10bb
1424412920
151652c1b4
hexe7e0e00

243142144 has 80 divisors (see below), whose sum is σ = 559785600. Its totient is φ = 103348224.

The previous prime is 243142103. The next prime is 243142169. The reversal of 243142144 is 441241342.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 641347 + ... + 641725.

It is an arithmetic number, because the mean of its divisors is an integer number (6997320).

Almost surely, 2243142144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279892800).

243142144 is an abundant number, since it is smaller than the sum of its proper divisors (316643456).

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

243142144 is an equidigital number, since it uses as much as digits as its factorization.

243142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 567 counting only the distinct ones).

The product of its digits is 3072, while the sum is 25.

The square root of 243142144 is about 15593.0158724988. The cubic root of 243142144 is about 624.1467986860.

Adding to 243142144 its reverse (441241342), we get a palindrome (684383486).

The spelling of 243142144 in words is "two hundred forty-three million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 179 224 256 358 379 448 512 716 758 896 1253 1432 1516 1792 2506 2653 2864 3032 3584 5012 5306 5728 6064 10024 10612 11456 12128 20048 21224 22912 24256 40096 42448 45824 48512 67841 80192 84896 91648 97024 135682 160384 169792 194048 271364 320768 339584 474887 542728 641536 679168 949774 1085456 1358336 1899548 2170912 3799096 4341824 7598192 8683648 15196384 17367296 30392768 34734592 60785536 121571072 243142144