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434413140021 = 327232910338001
BaseRepresentation
bin1100101001001010000…
…10100111100000110101
31112112021222222000101100
412110211002213200311
524104134230440041
6531322221120313
743246106523210
oct6244502474065
91475258860340
10434413140021
1115826298a893
12702380b9099
1331c710b72a3
1417050786777
15b477ba46b6
hex65250a7835

434413140021 has 48 divisors (see below), whose sum is σ = 774109589760. Its totient is φ = 229255488000.

The previous prime is 434413140019. The next prime is 434413140037. The reversal of 434413140021 is 120041314434.

434413140021 is a `hidden beast` number, since 4 + 344 + 1 + 314 + 0 + 0 + 2 + 1 = 666.

It is not a de Polignac number, because 434413140021 - 21 = 434413140019 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434413140061) 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 47 ways as a sum of consecutive naturals, for example, 5126980 + ... + 5211021.

It is an arithmetic number, because the mean of its divisors is an integer number (16127283120).

Almost surely, 2434413140021 is an apocalyptic number.

It is an amenable number.

434413140021 is a deficient number, since it is larger than the sum of its proper divisors (339696449739).

434413140021 is a wasteful number, since it uses less digits than its factorization.

434413140021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10338066 (or 10338063 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 434413140021 its reverse (120041314434), we get a palindrome (554454454455).

The spelling of 434413140021 in words is "four hundred thirty-four billion, four hundred thirteen million, one hundred forty thousand, twenty-one".

Divisors: 1 3 7 9 21 23 29 63 69 87 161 203 207 261 483 609 667 1449 1827 2001 4669 6003 14007 42021 10338001 31014003 72366007 93042009 217098021 237774023 299802029 651294063 713322069 899406087 1664418161 2098614203 2139966207 2698218261 4993254483 6295842609 6895446667 14979763449 18887527827 20686340001 48268126669 62059020003 144804380007 434413140021