Search a number
-
+
433121241330 = 232510944150993
BaseRepresentation
bin1100100110110000000…
…10011010100011110010
31112101221222000202112200
412103120002122203302
524044013014210310
6530550111204030
743202101543551
oct6233002324362
91471858022480
10433121241330
1115775a716218
126bb37516616
1331ac65578ab
1416d6ad73d98
15b3ee5649c0
hex64d809a8f2

433121241330 has 48 divisors (see below), whose sum is σ = 1136446585560. Its totient is φ = 114439371264.

The previous prime is 433121241323. The next prime is 433121241331. The reversal of 433121241330 is 33142121334.

It is a happy number.

433121241330 is a `hidden beast` number, since 4 + 3 + 3 + 1 + 212 + 413 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 300114421929 + 133006819401 = 547827^2 + 364701^2 .

It is a junction number, because it is equal to n+sod(n) for n = 433121241294 and 433121241303.

It is not an unprimeable number, because it can be changed into a prime (433121241331) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 22065687 + ... + 22085306.

Almost surely, 2433121241330 is an apocalyptic number.

433121241330 is an abundant number, since it is smaller than the sum of its proper divisors (703325344230).

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

433121241330 is a wasteful number, since it uses less digits than its factorization.

433121241330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44151115 (or 44151112 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 433121241330 its reverse (33142121334), we get a palindrome (466263362664).

The spelling of 433121241330 in words is "four hundred thirty-three billion, one hundred twenty-one million, two hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 218 327 545 654 981 1090 1635 1962 3270 4905 9810 44150993 88301986 132452979 220754965 264905958 397358937 441509930 662264895 794717874 1324529790 1986794685 3973589370 4812458237 9624916474 14437374711 24062291185 28874749422 43312124133 48124582370 72186873555 86624248266 144373747110 216560620665 433121241330