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4042231100 = 2252172639041
BaseRepresentation
bin1111000011101111…
…1000110100111100
3101102201011121121222
43300323320310330
531234302343400
61505035012512
7202112253215
oct36073706474
911381147558
104042231100
111794809066
1294989a138
134c55b992b
142a4bc840c
15189d18185
hexf0ef8d3c

4042231100 has 72 divisors (see below), whose sum is σ = 9323965728. Its totient is φ = 1515827200.

The previous prime is 4042231097. The next prime is 4042231129. The reversal of 4042231100 is 11322404.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442580 + ... + 451620.

It is an arithmetic number, because the mean of its divisors is an integer number (129499524).

Almost surely, 24042231100 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 4042231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4661982864).

4042231100 is an abundant number, since it is smaller than the sum of its proper divisors (5281734628).

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

4042231100 is a wasteful number, since it uses less digits than its factorization.

4042231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9335 (or 9328 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4042231100 is about 63578.5427640489. The cubic root of 4042231100 is about 1592.9679806126.

Adding to 4042231100 its reverse (11322404), we get a palindrome (4053553504).

The spelling of 4042231100 in words is "four billion, forty-two million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 263 340 425 526 850 1052 1315 1700 2630 4471 5260 6575 8942 9041 13150 17884 18082 22355 26300 36164 44710 45205 89420 90410 111775 153697 180820 223550 226025 307394 447100 452050 614788 768485 904100 1536970 2377783 3073940 3842425 4755566 7684850 9511132 11888915 15369700 23777830 40422311 47555660 59444575 80844622 118889150 161689244 202111555 237778300 404223110 808446220 1010557775 2021115550 4042231100