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4042240000 = 212541579
BaseRepresentation
bin1111000011101111…
…1011000000000000
3101102201012001211121
43300323323000000
531234303140000
61505035122024
7202112321161
oct36073730000
911381161747
104042240000
111794814817
129498a3314
134c55c09b6
142a4bcb768
15189d1ab1a
hexf0efb000

4042240000 has 130 divisors (see below), whose sum is σ = 10107530180. Its totient is φ = 1615872000.

The previous prime is 4042239967. The next prime is 4042240019. The reversal of 4042240000 is 422404.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2559211 + ... + 2560789.

Almost surely, 24042240000 is an apocalyptic number.

4042240000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5053765090).

4042240000 is an abundant number, since it is smaller than the sum of its proper divisors (6065290180).

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

4042240000 is an frugal number, since it uses more digits than its factorization.

4042240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4042240000 is about 63578.6127561777. The cubic root of 4042240000 is about 1592.9691497198.

Adding to 4042240000 its reverse (422404), we get a palindrome (4042662404).

The spelling of 4042240000 in words is "four billion, forty-two million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1579 1600 2000 2048 2500 2560 3158 3200 4000 4096 5000 5120 6316 6400 7895 8000 10000 10240 12632 12800 15790 16000 20000 20480 25264 25600 31580 32000 39475 40000 50528 51200 63160 64000 78950 80000 101056 102400 126320 128000 157900 160000 197375 202112 252640 256000 315800 320000 394750 404224 505280 512000 631600 640000 789500 808448 986875 1010560 1263200 1280000 1579000 1616896 1973750 2021120 2526400 2560000 3158000 3233792 3947500 4042240 5052800 6316000 6467584 7895000 8084480 10105600 12632000 15790000 16168960 20211200 25264000 31580000 32337920 40422400 50528000 63160000 80844800 101056000 126320000 161689600 202112000 252640000 404224000 505280000 808448000 1010560000 2021120000 4042240000