Search a number
-
+
44273294144 = 261925932479
BaseRepresentation
bin101001001110111001…
…001101101101000000
311020021111000101000222
4221032321031231000
51211132430403034
632201110202212
73125063535212
oct511671155500
9136244011028
1044273294144
111785a1361a2
1286b7053368
1342374b1291
1421ddd425b2
151241c4312e
hexa4ee4db40

44273294144 has 84 divisors (see below), whose sum is σ = 94296585600. Its totient is φ = 20615475456.

The previous prime is 44273294137. The next prime is 44273294179. The reversal of 44273294144 is 44149237244.

It is a super-2 number, since 2×442732941442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44273294095 and 44273294104.

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 11 ways as a sum of consecutive naturals, for example, 1346897 + ... + 1379375.

It is an arithmetic number, because the mean of its divisors is an integer number (1122578400).

Almost surely, 244273294144 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 44273294144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47148292800).

44273294144 is an abundant number, since it is smaller than the sum of its proper divisors (50023291456).

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

44273294144 is a wasteful number, since it uses less digits than its factorization.

44273294144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32588 (or 32559 counting only the distinct ones).

The product of its digits is 774144, while the sum is 44.

The spelling of 44273294144 in words is "forty-four billion, two hundred seventy-three million, two hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 59 64 76 118 152 236 304 361 472 608 722 944 1121 1216 1444 1888 2242 2888 3776 4484 5776 8968 11552 17936 21299 23104 32479 35872 42598 64958 71744 85196 129916 170392 259832 340784 519664 617101 681568 1039328 1234202 1363136 1916261 2078656 2468404 3832522 4936808 7665044 9873616 11724919 15330088 19747232 23449838 30660176 36408959 39494464 46899676 61320352 72817918 93799352 122640704 145635836 187598704 291271672 375197408 582543344 691770221 750394816 1165086688 1383540442 2330173376 2767080884 5534161768 11068323536 22136647072 44273294144