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4042411100 = 22527131313391
BaseRepresentation
bin1111000011110010…
…0100110001011100
3101102201111202112122
43300330210301130
531234324123400
61505042522112
7202113633050
oct36074446134
911381452478
104042411100
111794921322
12949966338
134c5650840
142a4c33c60
15189d51685
hexf0f24c5c

4042411100 has 144 divisors (see below), whose sum is σ = 10881970176. Its totient is φ = 1269216000.

The previous prime is 4042411097. The next prime is 4042411111. The reversal of 4042411100 is 11142404.

4042411100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1190405 + ... + 1193795.

Almost surely, 24042411100 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 4042411100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5440985088).

4042411100 is an abundant number, since it is smaller than the sum of its proper divisors (6839559076).

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

4042411100 is a wasteful number, since it uses less digits than its factorization.

4042411100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3556 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 4042411100 is about 63579.9583202128. The cubic root of 4042411100 is about 1592.9916251440.

Adding to 4042411100 its reverse (11142404), we get a palindrome (4053553504).

The spelling of 4042411100 in words is "four billion, forty-two million, four hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 131 140 175 182 260 262 325 350 364 455 524 650 655 700 910 917 1300 1310 1703 1820 1834 2275 2620 3275 3391 3406 3668 4550 4585 6550 6782 6812 8515 9100 9170 11921 13100 13564 16955 17030 18340 22925 23737 23842 33910 34060 42575 44083 45850 47474 47684 59605 67820 84775 85150 88166 91700 94948 118685 119210 169550 170300 176332 220415 237370 238420 298025 308581 339100 440830 444221 474740 593425 596050 617162 881660 888442 1102075 1186850 1192100 1234324 1542905 1776884 2204150 2221105 2373700 3085810 3109547 4408300 4442210 5774873 6171620 6219094 7714525 8884420 11105525 11549746 12438188 15429050 15547735 22211050 23099492 28874365 30858100 31095470 40424111 44422100 57748730 62190940 77738675 80848222 115497460 144371825 155477350 161696444 202120555 288743650 310954700 404241110 577487300 808482220 1010602775 2021205550 4042411100