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120140444000 = 255355753923
BaseRepresentation
bin110111111100011101…
…1011011000101100000
3102111002210102220110002
41233320323123011200
53432021423202000
6131105230355132
711452122632063
oct1577073330540
9374083386402
10120140444000
1146a5116a845
121b34a95baa8
13b43831b825
145b59c648da
1531d24988d5
hex1bf8edb160

120140444000 has 96 divisors (see below), whose sum is σ = 295720510176. Its totient is φ = 47969011200.

The previous prime is 120140443933. The next prime is 120140444003. The reversal of 120140444000 is 444041021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120140444003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2201039 + ... + 2254961.

It is an arithmetic number, because the mean of its divisors is an integer number (3080421981).

Almost surely, 2120140444000 is an apocalyptic number.

120140444000 is a gapful number since it is divisible by the number (10) 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 120140444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147860255088).

120140444000 is an abundant number, since it is smaller than the sum of its proper divisors (175580066176).

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

120140444000 is an equidigital number, since it uses as much as digits as its factorization.

120140444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54505 (or 54487 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 120140444000 its reverse (444041021), we get a palindrome (120584485021).

The spelling of 120140444000 in words is "one hundred twenty billion, one hundred forty million, four hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 557 800 1000 1114 2000 2228 2785 4000 4456 5570 8912 11140 13925 17824 22280 27850 44560 53923 55700 69625 89120 107846 111400 139250 215692 222800 269615 278500 431384 445600 539230 557000 862768 1078460 1114000 1348075 1725536 2156920 2228000 2696150 4313840 5392300 6740375 8627680 10784600 13480750 21569200 26961500 30035111 43138400 53923000 60070222 107846000 120140444 150175555 215692000 240280888 300351110 480561776 600702220 750877775 961123552 1201404440 1501755550 2402808880 3003511100 3754388875 4805617760 6007022200 7508777750 12014044400 15017555500 24028088800 30035111000 60070222000 120140444000