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44140162144 = 25135310918367
BaseRepresentation
bin101001000110111101…
…010110110001100000
311012221012111120021011
4221012331112301200
51210344340142034
632135552510304
73121556121241
oct510675266140
9135835446234
1044140162144
11177a0a75151
12867a54b394
134215a3a050
1421ca3a8cc8
1512351e6864
hexa46f56c60

44140162144 has 96 divisors (see below), whose sum is σ = 96231421440. Its totient is φ = 19803543552.

The previous prime is 44140162127. The next prime is 44140162177. The reversal of 44140162144 is 44126104144.

It is a super-2 number, since 2×441401621442 (a number of 22 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2394049 + ... + 2412415.

It is an arithmetic number, because the mean of its divisors is an integer number (1002410640).

Almost surely, 244140162144 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 44140162144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48115710720).

44140162144 is an abundant number, since it is smaller than the sum of its proper divisors (52091259296).

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

44140162144 is a wasteful number, since it uses less digits than its factorization.

44140162144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18552 (or 18544 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 44140162144 its reverse (44126104144), we get a palindrome (88266266288).

The spelling of 44140162144 in words is "forty-four billion, one hundred forty million, one hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 53 104 106 109 208 212 218 416 424 436 689 848 872 1378 1417 1696 1744 2756 2834 3488 5512 5668 5777 11024 11336 11554 18367 22048 22672 23108 36734 45344 46216 73468 75101 92432 146936 150202 184864 238771 293872 300404 477542 587744 600808 955084 973451 1201616 1910168 1946902 2002003 2403232 3820336 3893804 4004006 7640672 7787608 8008012 12654863 15575216 16016024 25309726 26026039 31150432 32032048 50619452 52052078 64064096 101238904 104104156 106106159 202477808 208208312 212212318 404955616 416416624 424424636 832833248 848849272 1379380067 1697698544 2758760134 3395397088 5517520268 11035040536 22070081072 44140162144