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42442200444 = 22372263274451
BaseRepresentation
bin100111100001110000…
…001001010101111100
311001112212111011200210
4213201300021111330
51143410200403234
631255255352420
73031520515500
oct474160112574
9131485434623
1042442200444
1116aaa574416
128285982710
134005025497
1420a8a94300
1511860e6be9
hex9e1c0957c

42442200444 has 72 divisors (see below), whose sum is σ = 115638703488. Its totient is φ = 12080191200.

The previous prime is 42442200439. The next prime is 42442200457. The reversal of 42442200444 is 44400224424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17419 + ... + 291869.

It is an arithmetic number, because the mean of its divisors is an integer number (1606093104).

Almost surely, 242442200444 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 42442200444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57819351744).

42442200444 is an abundant number, since it is smaller than the sum of its proper divisors (73196503044).

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

42442200444 is a wasteful number, since it uses less digits than its factorization.

42442200444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274735 (or 274726 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 42442200444 its reverse (44400224424), we get a palindrome (86842424868).

The spelling of 42442200444 in words is "forty-two billion, four hundred forty-two million, two hundred thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 263 294 526 588 789 1052 1578 1841 3156 3682 5523 7364 11046 12887 22092 25774 38661 51548 77322 154644 274451 548902 823353 1097804 1646706 1921157 3293412 3842314 5763471 7684628 11526942 13448099 23053884 26896198 40344297 53792396 72180613 80688594 144361226 161377188 216541839 288722452 433083678 505264291 866167356 1010528582 1515792873 2021057164 3031585746 3536850037 6063171492 7073700074 10610550111 14147400148 21221100222 42442200444