Search a number
-
+
201044242432 = 2121197157293
BaseRepresentation
bin1011101100111100101…
…0111011000000000000
3201012221010012200211001
42323033022323000000
511243214311224212
6232205231501344
720345030602405
oct2731712730000
9635833180731
10201044242432
1178298262a80
1232b69387854
1315c5c779bc7
149a32a682ac
155369e94657
hex2ecf2bb000

201044242432 has 208 divisors, whose sum is σ = 447454278432. Its totient is φ = 89558876160.

The previous prime is 201044242379. The next prime is 201044242459. The reversal of 201044242432 is 234242440102.

It is a self number, because there is not a number n which added to its sum of digits gives 201044242432.

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 15 ways as a sum of consecutive naturals, for example, 686157678 + ... + 686157970.

Almost surely, 2201044242432 is an apocalyptic number.

201044242432 is a gapful number since it is divisible by the number (22) 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 201044242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223727139216).

201044242432 is an abundant number, since it is smaller than the sum of its proper divisors (246410036000).

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

201044242432 is a wasteful number, since it uses less digits than its factorization.

201044242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 201044242432 its reverse (234242440102), we get a palindrome (435286682534).

The spelling of 201044242432 in words is "two hundred one billion, forty-four million, two hundred forty-two thousand, four hundred thirty-two".