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4142442020 = 2251783181811
BaseRepresentation
bin1111011011101000…
…1010011000100100
3101200200201212011112
43312322022120210
531440431121040
61523014524152
7204440114303
oct36672123044
911620655145
104142442020
111836334002
12977366658
135102a5432
142b423243a
15193a10365
hexf6e8a624

4142442020 has 96 divisors (see below), whose sum is σ = 9384875136. Its totient is φ = 1530316800.

The previous prime is 4142442001. The next prime is 4142442043. The reversal of 4142442020 is 202442414.

4142442020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5107415 + ... + 5108225.

It is an arithmetic number, because the mean of its divisors is an integer number (97759116).

Almost surely, 24142442020 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 4142442020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4692437568).

4142442020 is an abundant number, since it is smaller than the sum of its proper divisors (5242433116).

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

4142442020 is a wasteful number, since it uses less digits than its factorization.

4142442020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 4142442020 is about 64361.8055992838. The cubic root of 4142442020 is about 1606.0244259832.

Adding to 4142442020 its reverse (202442414), we get a palindrome (4344884434).

The spelling of 4142442020 in words is "four billion, one hundred forty-two million, four hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 83 85 166 170 181 332 340 362 415 724 811 830 905 1411 1622 1660 1810 2822 3077 3244 3620 4055 5644 6154 7055 8110 12308 13787 14110 15023 15385 16220 27574 28220 30046 30770 55148 60092 61540 67313 68935 75115 134626 137870 146791 150230 255391 269252 275740 293582 300460 336565 510782 587164 673130 733955 1021564 1144321 1276955 1346260 1467910 2288642 2495447 2553910 2935820 4577284 4990894 5107820 5721605 9981788 11443210 12183653 12477235 22886420 24367306 24954470 48734612 49908940 60918265 121836530 207122101 243673060 414244202 828488404 1035610505 2071221010 4142442020