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44344452142122 = 231110324172698867
BaseRepresentation
bin10100001010100101111110…
…10100010101010000101010
312211000021210010002112022220
422011102333110111100222
521303014414222021442
6234151320551054510
712224531602000266
oct1205227724252052
9184007703075286
1044344452142122
11131474161a4280
124b82303371436
131b98882762772
14ad43d65370a6
1551d77ab55eec
hex2854bf51542a

44344452142122 has 64 divisors (see below), whose sum is σ = 97731321652224. Its totient is φ = 13301738922240.

The previous prime is 44344452142043. The next prime is 44344452142129. The reversal of 44344452142122 is 22124125444344.

It is not an unprimeable number, because it can be changed into a prime (44344452142129) 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, 15081333 + ... + 17780199.

It is an arithmetic number, because the mean of its divisors is an integer number (1527051900816).

Almost surely, 244344452142122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44344452142122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48865660826112).

44344452142122 is an abundant number, since it is smaller than the sum of its proper divisors (53386869510102).

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

44344452142122 is a wasteful number, since it uses less digits than its factorization.

44344452142122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701403.

The product of its digits is 983040, while the sum is 42.

Adding to 44344452142122 its reverse (22124125444344), we get a palindrome (66468577586466).

The spelling of 44344452142122 in words is "forty-four trillion, three hundred forty-four billion, four hundred fifty-two million, one hundred forty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 103 206 309 618 1133 2266 2417 3399 4834 6798 7251 14502 26587 53174 79761 159522 248951 497902 746853 1493706 2698867 2738461 5397734 5476922 8096601 8215383 16193202 16430766 29687537 59375074 89062611 178125222 277983301 555966602 833949903 1667899806 3057816311 6115632622 6523161539 9173448933 13046323078 18346897866 19569484617 39138969234 71754776929 143509553858 215264330787 430528661574 671885638517 1343771277034 2015656915551 4031313831102 7390742023687 14781484047374 22172226071061 44344452142122