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42121013008 = 2410924151957
BaseRepresentation
bin100111001110100110…
…111010011100010000
311000201111010011100211
4213032212322130100
51142230434404013
631203343253504
73020540463124
oct471646723420
9130644104324
1042121013008
1116955239558
1281b62aa294
133c83619949
142078167584
151167d0023d
hex9ce9ba710

42121013008 has 20 divisors (see below), whose sum is σ = 82358176780. Its totient is φ = 20867289984.

The previous prime is 42121013003. The next prime is 42121013023. The reversal of 42121013008 is 80031012124.

It is a happy number.

42121013008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 28787230224 + 13333782784 = 169668^2 + 115472^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42121013008.

It is not an unprimeable number, because it can be changed into a prime (42121013003) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12074235 + ... + 12077722.

It is an arithmetic number, because the mean of its divisors is an integer number (4117908839).

Almost surely, 242121013008 is an apocalyptic number.

It is an amenable number.

42121013008 is a deficient number, since it is larger than the sum of its proper divisors (40237163772).

42121013008 is a wasteful number, since it uses less digits than its factorization.

42121013008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24152074 (or 24152068 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The spelling of 42121013008 in words is "forty-two billion, one hundred twenty-one million, thirteen thousand, eight".

Divisors: 1 2 4 8 16 109 218 436 872 1744 24151957 48303914 96607828 193215656 386431312 2632563313 5265126626 10530253252 21060506504 42121013008