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4101442020 = 2233513677863
BaseRepresentation
bin1111010001110111…
…0000100111100100
3101120211120211202000
43310131300213210
531344432121040
61514552045300
7203431452624
oct36435604744
911524524660
104101442020
111815180105
12965693830
1350494b690
142ac9dc884
15190112130
hexf47709e4

4101442020 has 192 divisors, whose sum is σ = 13777827840. Its totient is φ = 1006926336.

The previous prime is 4101441991. The next prime is 4101442027. The reversal of 4101442020 is 202441014.

4101442020 = T201 + T202 + ... + T2908.

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 = 4101441984 and 4101442002.

It is not an unprimeable number, because it can be changed into a prime (4101442027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4752109 + ... + 4752971.

It is an arithmetic number, because the mean of its divisors is an integer number (71759520).

Almost surely, 24101442020 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 4101442020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6888913920).

4101442020 is an abundant number, since it is smaller than the sum of its proper divisors (9676385820).

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

4101442020 is a wasteful number, since it uses less digits than its factorization.

4101442020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1563 counting only the distinct ones).

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

The square root of 4101442020 is about 64042.5016688137. The cubic root of 4101442020 is about 1600.7082827676.

Adding to 4101442020 its reverse (202441014), we get a palindrome (4303883034).

It can be divided in two parts, 410144 and 2020, that added together give a square (412164 = 6422).

The spelling of 4101442020 in words is "four billion, one hundred one million, four hundred forty-two thousand, twenty".