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2142444013340 = 2254310333241093
BaseRepresentation
bin11111001011010011100…
…111010100011100011100
321120211000121101110201212
4133023103213110130130
5240100211131411330
64320120350323552
7310533521432501
oct37132347243434
97524017343655
102142444013340
11756672879364
122a72781b95b8
131270545824b7
14759a29174a8
153aae356b295
hex1f2d39d471c

2142444013340 has 48 divisors (see below), whose sum is σ = 4604228051808. Its totient is φ = 836963414784.

The previous prime is 2142444013331. The next prime is 2142444013349. The reversal of 2142444013340 is 433104442412.

It is an interprime number because it is at equal distance from previous prime (2142444013331) and next prime (2142444013349).

It is a junction number, because it is equal to n+sod(n) for n = 2142444013297 and 2142444013306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142444013349) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8765834 + ... + 9006926.

It is an arithmetic number, because the mean of its divisors is an integer number (95921417746).

Almost surely, 22142444013340 is an apocalyptic number.

2142444013340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142444013340 is an abundant number, since it is smaller than the sum of its proper divisors (2461784038468).

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

2142444013340 is a wasteful number, since it uses less digits than its factorization.

2142444013340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251478 (or 251476 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 2142444013340 its reverse (433104442412), we get a palindrome (2575548455752).

The spelling of 2142444013340 in words is "two trillion, one hundred forty-two billion, four hundred forty-four million, thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 10333 20666 41332 51665 103330 206660 241093 444319 482186 888638 964372 1205465 1777276 2221595 2410930 4443190 4821860 8886380 10366999 20733998 41467996 51834995 103669990 207339980 2491213969 4982427938 9964855876 12456069845 24912139690 49824279380 107122200667 214244401334 428488802668 535611003335 1071222006670 2142444013340