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2141728271412 = 2233773137482323
BaseRepresentation
bin11111001010101000111…
…100111110110000110100
321120202011201121000101120
4133022220330332300310
5240042224414141122
64315521341423540
7310510010635362
oct37125074766064
97522151530346
102141728271412
11756335857904
122a70b856abb0
13126c6c1c0b72
1475935842632
153aaa07d975c
hex1f2a8f3ec34

2141728271412 has 96 divisors (see below), whose sum is σ = 5240724220032. Its totient is φ = 680097171456.

The previous prime is 2141728271363. The next prime is 2141728271447.

2141728271412 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4199283 + ... + 4681605.

It is an arithmetic number, because the mean of its divisors is an integer number (54590877292).

Almost surely, 22141728271412 is an apocalyptic number.

It is an amenable number.

2141728271412 is an abundant number, since it is smaller than the sum of its proper divisors (3098995948620).

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

2141728271412 is a wasteful number, since it uses less digits than its factorization.

2141728271412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482577 (or 482575 counting only the distinct ones).

The product of its digits is 100352, while the sum is 42.

The spelling of 2141728271412 in words is "two trillion, one hundred forty-one billion, seven hundred twenty-eight million, two hundred seventy-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 37 73 74 111 137 146 148 219 222 274 292 411 438 444 548 822 876 1644 2701 5069 5402 8103 10001 10138 10804 15207 16206 20002 20276 30003 30414 32412 40004 60006 60828 120012 370037 482323 740074 964646 1110111 1446969 1480148 1929292 2220222 2893938 4440444 5787876 17845951 35209579 35691902 53537853 66078251 70419158 71383804 105628737 107075706 132156502 140838316 198234753 211257474 214151412 264313004 396469506 422514948 792939012 1302754423 2444895287 2605508846 3908263269 4823712323 4889790574 5211017692 7334685861 7816526538 9647424646 9779581148 14471136969 14669371722 15633053076 19294849292 28942273938 29338743444 57884547876 178477355951 356954711902 535432067853 713909423804 1070864135706 2141728271412