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42104401020 = 2236511833163
BaseRepresentation
bin100111001101100111…
…100010110001111100
311000200022212012000000
4213031213202301330
51142212211313040
631201551234300
73020246334513
oct471547426174
9130608765000
1042104401020
1116946922740
1281b0818990
133c80051676
142075c8167a
15116661d130
hex9cd9e2c7c

42104401020 has 336 divisors, whose sum is σ = 146408556672. Its totient is φ = 10080961920.

The previous prime is 42104400997. The next prime is 42104401021. The reversal of 42104401020 is 2010440124.

42104401020 is a `hidden beast` number, since 4 + 210 + 440 + 10 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42104400984 and 42104401002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42104401021) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 13309959 + ... + 13313121.

It is an arithmetic number, because the mean of its divisors is an integer number (435739752).

Almost surely, 242104401020 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 42104401020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73204278336).

42104401020 is an abundant number, since it is smaller than the sum of its proper divisors (104304155652).

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

42104401020 is a wasteful number, since it uses less digits than its factorization.

42104401020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 42104401020 its reverse (2010440124), we get a palindrome (44114841144).

The spelling of 42104401020 in words is "forty-two billion, one hundred four million, four hundred one thousand, twenty".