Search a number
-
+
243433236464 = 24111012135589
BaseRepresentation
bin1110001010110111000…
…0000110011111110000
3212021100021120201000222
43202231300012133300
512442022402031324
6303455351032212
723405334240365
oct3425560063760
9767307521028
10243433236464
119426a796650
123b21936b668
1319c567636b2
14bad462c46c
1564eb57b55e
hex38adc067f0

243433236464 has 60 divisors (see below), whose sum is σ = 519677962440. Its totient is φ = 109555104000.

The previous prime is 243433236463. The next prime is 243433236469. The reversal of 243433236464 is 464632334342.

243433236464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243433236463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1727582 + ... + 1863170.

It is an arithmetic number, because the mean of its divisors is an integer number (8661299374).

Almost surely, 2243433236464 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 243433236464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259838981220).

243433236464 is an abundant number, since it is smaller than the sum of its proper divisors (276244725976).

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

243433236464 is a wasteful number, since it uses less digits than its factorization.

243433236464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135810 (or 135703 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 44.

The spelling of 243433236464 in words is "two hundred forty-three billion, four hundred thirty-three million, two hundred thirty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 101 176 202 404 808 1111 1616 2222 4444 8888 10201 17776 20402 40804 81608 112211 135589 163216 224422 271178 448844 542356 897688 1084712 1491479 1795376 2169424 2982958 5965916 11931832 13694489 23863664 27388978 54777956 109555912 150639379 219111824 301278758 602557516 1205115032 1383143389 2410230064 2766286778 5532573556 11065147112 15214577279 22130294224 30429154558 60858309116 121716618232 243433236464