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434023110020 = 225194432578253
BaseRepresentation
bin1100101000011011100…
…10110001010110000100
31112111021211001102210202
412110031302301112010
524102334404010040
6531215405310032
743233332364413
oct6241562612604
91474254042722
10434023110020
11158082804545
1270149565318
1331c0b3569c6
1417014a5947a
15b453810015
hex650dcb1584

434023110020 has 48 divisors (see below), whose sum is σ = 961585611840. Its totient is φ = 164100583296.

The previous prime is 434023109953. The next prime is 434023110029. The reversal of 434023110020 is 20011320434.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 434023109974 and 434023110001.

It is not an unprimeable number, because it can be changed into a prime (434023110029) 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 15 ways as a sum of consecutive naturals, for example, 1120787 + ... + 1457466.

It is an arithmetic number, because the mean of its divisors is an integer number (20033033580).

Almost surely, 2434023110020 is an apocalyptic number.

It is an amenable number.

434023110020 is an abundant number, since it is smaller than the sum of its proper divisors (527562501820).

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

434023110020 is a wasteful number, since it uses less digits than its factorization.

434023110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578724 (or 2578722 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 434023110020 its reverse (20011320434), we get a palindrome (454034430454).

The spelling of 434023110020 in words is "four hundred thirty-four billion, twenty-three million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 443 886 1772 2215 4430 8417 8860 16834 33668 42085 84170 168340 2578253 5156506 10313012 12891265 25782530 48986807 51565060 97973614 195947228 244934035 489868070 979736140 1142166079 2284332158 4568664316 5710830395 11421660790 21701155501 22843321580 43402311002 86804622004 108505777505 217011555010 434023110020