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40444343312 = 2419229241453
BaseRepresentation
bin100101101010101010…
…111011010000010000
310212101122011111221012
4211222222323100100
51130312222441222
630325130350052
72631151150232
oct455252732020
9125348144835
1040444343312
111617486081a
127a0888b328
133a7714b5b9
141d595d6252
1510baa091e2
hex96aabb410

40444343312 has 60 divisors (see below), whose sum is σ = 85554395820. Its totient is φ = 18497154816.

The previous prime is 40444343311. The next prime is 40444343377. The reversal of 40444343312 is 21334344404.

It can be written as a sum of positive squares in 2 ways, for example, as 26674728976 + 13769614336 = 163324^2 + 117344^2 .

It is not an unprimeable number, because it can be changed into a prime (40444343311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46778 + ... + 288230.

It is an arithmetic number, because the mean of its divisors is an integer number (1425906597).

Almost surely, 240444343312 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 40444343312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42777197910).

40444343312 is an abundant number, since it is smaller than the sum of its proper divisors (45110052508).

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

40444343312 is a wasteful number, since it uses less digits than its factorization.

40444343312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241528 (or 241503 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 40444343312 its reverse (21334344404), we get a palindrome (61778687716).

The spelling of 40444343312 in words is "forty billion, four hundred forty-four million, three hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 29 38 58 76 116 152 232 304 361 464 551 722 1102 1444 2204 2888 4408 5776 8816 10469 20938 41876 83752 167504 241453 482906 965812 1931624 3863248 4587607 7002137 9175214 14004274 18350428 28008548 36700856 56017096 73401712 87164533 112034192 133040603 174329066 266081206 348658132 532162412 697316264 1064324824 1394632528 2128649648 2527771457 5055542914 10111085828 20222171656 40444343312