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42111300024 = 233223137419443
BaseRepresentation
bin100111001110000001…
…110111000110111000
311000200210211200122200
4213032001313012320
51142220443100044
631202355150200
73020362100313
oct471601670670
9130623750580
1042111300024
111694a804aa2
1281b2ba5360
133c815c8911
142076b5997a
151167032369
hex9ce0771b8

42111300024 has 192 divisors, whose sum is σ = 120436243200. Its totient is φ = 13266958848.

The previous prime is 42111299941. The next prime is 42111300071. The reversal of 42111300024 is 42000311124.

42111300024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×421113000242 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95059147 + ... + 95059589.

It is an arithmetic number, because the mean of its divisors is an integer number (627272100).

Almost surely, 242111300024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42111300024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60218121600).

42111300024 is an abundant number, since it is smaller than the sum of its proper divisors (78324943176).

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

42111300024 is a wasteful number, since it uses less digits than its factorization.

42111300024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 42111300024 its reverse (42000311124), we get a palindrome (84111611148).

The spelling of 42111300024 in words is "forty-two billion, one hundred eleven million, three hundred thousand, twenty-four".