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42442015620 = 223529892231229
BaseRepresentation
bin100111100001101111…
…011100001110000100
311001112212010210011110
4213201233130032010
51143410123444440
631255251405020
73031516115604
oct474157341604
9131485123143
1042442015620
1116aaa458574
1282858b3770
134004c8c314
1420a8a46c04
1511860ac080
hex9e1bdc384

42442015620 has 192 divisors, whose sum is σ = 124975872000. Its totient is φ = 10747613184.

The previous prime is 42442015619. The next prime is 42442015639. The reversal of 42442015620 is 2651024424.

42442015620 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 (30).

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, 34533166 + ... + 34534394.

It is an arithmetic number, because the mean of its divisors is an integer number (650916000).

Almost surely, 242442015620 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 42442015620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62487936000).

42442015620 is an abundant number, since it is smaller than the sum of its proper divisors (82533856380).

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

42442015620 is a wasteful number, since it uses less digits than its factorization.

42442015620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 42442015620 in words is "forty-two billion, four hundred forty-two million, fifteen thousand, six hundred twenty".