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44023042400 = 2552117146993
BaseRepresentation
bin101000111111111110…
…100101000101100000
311012122001010021011212
4220333332211011200
51210124344324100
632120210325252
73115634454251
oct507776450540
9135561107155
1044023042400
1117740950377
128647289828
1341c76b111c
1421b89dcb28
151229cae635
hexa3ffa5160

44023042400 has 72 divisors (see below), whose sum is σ = 107565318504. Its totient is φ = 17593804800.

The previous prime is 44023042391. The next prime is 44023042423. The reversal of 44023042400 is 424032044.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 913304 + ... + 960296.

It is an arithmetic number, because the mean of its divisors is an integer number (1493962757).

Almost surely, 244023042400 is an apocalyptic number.

44023042400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44023042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53782659252).

44023042400 is an abundant number, since it is smaller than the sum of its proper divisors (63542276104).

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

44023042400 is a wasteful number, since it uses less digits than its factorization.

44023042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48184 (or 48171 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

Adding to 44023042400 its reverse (424032044), we get a palindrome (44447074444).

The spelling of 44023042400 in words is "forty-four billion, twenty-three million, forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1171 2342 4684 5855 9368 11710 18736 23420 29275 37472 46840 46993 58550 93680 93986 117100 187360 187972 234200 234965 375944 468400 469930 751888 936800 939860 1174825 1503776 1879720 2349650 3759440 4699300 7518880 9398600 18797200 37594400 55028803 110057606 220115212 275144015 440230424 550288030 880460848 1100576060 1375720075 1760921696 2201152120 2751440150 4402304240 5502880300 8804608480 11005760600 22011521200 44023042400