Search a number
-
+
44142400032 = 2532319992029
BaseRepresentation
bin101001000111000101…
…111001001000100000
311012221100201021001220
4221013011321020200
51210400423300112
632140112455040
73121614131553
oct510705711040
9135840637056
1044142400032
11177a2263545
12867b24a480
134216341843
1421ca7cc69a
1512354d998c
hexa47179220

44142400032 has 48 divisors (see below), whose sum is σ = 120911797440. Its totient is φ = 14074387712.

The previous prime is 44142400007. The next prime is 44142400037. The reversal of 44142400032 is 23000424144.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×441424000322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 44142399975 and 44142400011.

It is not an unprimeable number, because it can be changed into a prime (44142400037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9993807 + ... + 9998222.

It is an arithmetic number, because the mean of its divisors is an integer number (2518995780).

Almost surely, 244142400032 is an apocalyptic number.

It is an amenable number.

44142400032 is an abundant number, since it is smaller than the sum of its proper divisors (76769397408).

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

44142400032 is a wasteful number, since it uses less digits than its factorization.

44142400032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19992065 (or 19992057 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 44142400032 its reverse (23000424144), we get a palindrome (67142824176).

The spelling of 44142400032 in words is "forty-four billion, one hundred forty-two million, four hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 19992029 39984058 59976087 79968116 119952174 159936232 239904348 319872464 459816667 479808696 639744928 919633334 959617392 1379450001 1839266668 1919234784 2758900002 3678533336 5517800004 7357066672 11035600008 14714133344 22071200016 44142400032