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2042134212 = 22319231732251
BaseRepresentation
bin111100110111000…
…0111111011000100
312021022122011111110
41321232013323010
513140241243322
6534350005020
7101414566026
oct17156077304
95238564443
102042134212
11958805728
1248baa6770
1326710a451
14155306016
15be436c0c
hex79b87ec4

2042134212 has 96 divisors (see below), whose sum is σ = 5266437120. Its totient is φ = 613008000.

The previous prime is 2042134187. The next prime is 2042134217. The reversal of 2042134212 is 2124312402.

It is not an unprimeable number, because it can be changed into a prime (2042134217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 906087 + ... + 908337.

It is an arithmetic number, because the mean of its divisors is an integer number (54858720).

Almost surely, 22042134212 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 2042134212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633218560).

2042134212 is an abundant number, since it is smaller than the sum of its proper divisors (3224302908).

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

2042134212 is a wasteful number, since it uses less digits than its factorization.

2042134212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2473 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2042134212 is about 45189.9791104178. The cubic root of 2042134212 is about 1268.7072658016.

Adding to 2042134212 its reverse (2124312402), we get a palindrome (4166446614).

The spelling of 2042134212 in words is "two billion, forty-two million, one hundred thirty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 173 228 276 346 437 519 692 874 1038 1311 1748 2076 2251 2622 3287 3979 4502 5244 6574 6753 7958 9004 9861 11937 13148 13506 15916 19722 23874 27012 39444 42769 47748 51773 75601 85538 103546 128307 151202 155319 171076 207092 226803 256614 302404 310638 389423 453606 513228 621276 778846 907212 983687 1168269 1557692 1967374 2336538 2951061 3934748 4673076 5902122 7399037 8956729 11804244 14798074 17913458 22197111 26870187 29596148 35826916 44394222 53740374 88788444 107480748 170177851 340355702 510533553 680711404 1021067106 2042134212