Search a number
-
+
243232332544 = 2813957111971
BaseRepresentation
bin1110001010000111000…
…1101101101100000000
3212020211021112201200001
43202201301231230000
512441114434120134
6303423413005344
723400344466565
oct3424161555400
9766737481601
10243232332544
1194177346553
123b182023854
1319c23c50b36
14bab5a9286c
1564d8ae4414
hex38a1c6db00

243232332544 has 72 divisors (see below), whose sum is σ = 489904775360. Its totient is φ = 120519705600.

The previous prime is 243232332503. The next prime is 243232332557. The reversal of 243232332544 is 445233232342.

243232332544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 20312479 + ... + 20324449.

Almost surely, 2243232332544 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 243232332544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244952387680).

243232332544 is an abundant number, since it is smaller than the sum of its proper divisors (246672442816).

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

243232332544 is a wasteful number, since it uses less digits than its factorization.

243232332544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12697 (or 12683 counting only the distinct ones).

The product of its digits is 414720, while the sum is 37.

Adding to 243232332544 its reverse (445233232342), we get a palindrome (688465564886).

The spelling of 243232332544 in words is "two hundred forty-three billion, two hundred thirty-two million, three hundred thirty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 139 256 278 556 571 1112 1142 2224 2284 4448 4568 8896 9136 11971 17792 18272 23942 35584 36544 47884 73088 79369 95768 146176 158738 191536 317476 383072 634952 766144 1269904 1532288 1663969 2539808 3064576 3327938 5079616 6655876 6835441 10159232 13311752 13670882 20318464 26623504 27341764 53247008 54683528 106494016 109367056 212988032 218734112 425976064 437468224 874936448 950126299 1749872896 1900252598 3800505196 7601010392 15202020784 30404041568 60808083136 121616166272 243232332544