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42124121104 = 2413337600949
BaseRepresentation
bin100111001110110010…
…110001010000010000
311000201200222001212111
4213032302301100100
51142232233333404
631203534035104
73020606056462
oct471662612020
9130650861774
1042124121104
1116956a7172a
1281b7348a94
133c84167560
142078736132
151168216104
hex9cecb1410

42124121104 has 40 divisors (see below), whose sum is σ = 88154557400. Its totient is φ = 19384178688.

The previous prime is 42124121101. The next prime is 42124121119. The reversal of 42124121104 is 40112142124.

It can be written as a sum of positive squares in 4 ways, for example, as 7876917504 + 34247203600 = 88752^2 + 185060^2 .

It is not an unprimeable number, because it can be changed into a prime (42124121101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230379 + ... + 370570.

It is an arithmetic number, because the mean of its divisors is an integer number (2203863935).

Almost surely, 242124121104 is an apocalyptic number.

It is an amenable number.

42124121104 is an abundant number, since it is smaller than the sum of its proper divisors (46030436296).

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

42124121104 is a wasteful number, since it uses less digits than its factorization.

42124121104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601307 (or 601301 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 42124121104 its reverse (40112142124), we get a palindrome (82236263228).

The spelling of 42124121104 in words is "forty-two billion, one hundred twenty-four million, one hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 208 337 674 1348 2696 4381 5392 8762 17524 35048 70096 600949 1201898 2403796 4807592 7812337 9615184 15624674 31249348 62498696 124997392 202519813 405039626 810079252 1620158504 2632757569 3240317008 5265515138 10531030276 21062060552 42124121104