Search a number
-
+
433233423104 = 2861197140827
BaseRepresentation
bin1100100110111101011…
…10010110101100000000
31112102020210010012000012
412103132232112230000
524044230224014404
6531005155444052
743204633223246
oct6233656265400
91472223105005
10433233423104
11157807a78029
126bb68bb6628
1331b13875041
1416d7bc16796
15b409323a6e
hex64deb96b00

433233423104 has 72 divisors (see below), whose sum is σ = 883419113808. Its totient is φ = 211982561280.

The previous prime is 433233423083. The next prime is 433233423113. The reversal of 433233423104 is 401324332334.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3005939 + ... + 3146765.

It is an arithmetic number, because the mean of its divisors is an integer number (12269709914).

Almost surely, 2433233423104 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 433233423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441709556904).

433233423104 is an abundant number, since it is smaller than the sum of its proper divisors (450185690704).

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

433233423104 is a wasteful number, since it uses less digits than its factorization.

433233423104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141101 (or 141087 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 433233423104 its reverse (401324332334), we get a palindrome (834557755438).

The spelling of 433233423104 in words is "four hundred thirty-three billion, two hundred thirty-three million, four hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 61 64 122 128 197 244 256 394 488 788 976 1576 1952 3152 3904 6304 7808 12017 12608 15616 24034 25216 48068 50432 96136 140827 192272 281654 384544 563308 769088 1126616 1538176 2253232 3076352 4506464 8590447 9012928 17180894 18025856 27742919 34361788 36051712 55485838 68723576 110971676 137447152 221943352 274894304 443886704 549788608 887773408 1099577216 1692318059 1775546816 2199154432 3384636118 3551093632 6769272236 7102187264 13538544472 27077088944 54154177888 108308355776 216616711552 433233423104