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42120423020 = 225132329892729
BaseRepresentation
bin100111001110100100…
…101010011001101100
311000201110000012001102
4213032210222121230
51142230312014040
631203322502232
73020532455054
oct471644523154
9130643005042
1042120423020
1116954976265
1281b6064978
133c83471240
142078052564
151167c35515
hex9ce92a66c

42120423020 has 192 divisors, whose sum is σ = 104019552000. Its totient is φ = 14196424704.

The previous prime is 42120423019. The next prime is 42120423067. The reversal of 42120423020 is 2032402124.

42120423020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 42120422983 and 42120423001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15433016 + ... + 15435744.

It is an arithmetic number, because the mean of its divisors is an integer number (541768500).

Almost surely, 242120423020 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 42120423020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52009776000).

42120423020 is an abundant number, since it is smaller than the sum of its proper divisors (61899128980).

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

42120423020 is a wasteful number, since it uses less digits than its factorization.

42120423020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 42120423020 its reverse (2032402124), we get a palindrome (44152825144).

The spelling of 42120423020 in words is "forty-two billion, one hundred twenty million, four hundred twenty-three thousand, twenty".