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20194444349440 = 21251049939997
BaseRepresentation
bin1001001011101111000101…
…01011101001000000000000
32122111120101112210220022121
410211313202223221000000
510121331210223140230
6110541111043214024
74153000104513634
oct445674253510000
978446345726277
1020194444349440
116486463404799
12232199a677314
13b36435605bca
144db5b855adc4
152504856e677a
hex125de2ae9000

20194444349440 has 104 divisors (see below), whose sum is σ = 48506998793400. Its totient is φ = 8070068699136.

The previous prime is 20194444349407. The next prime is 20194444349467. The reversal of 20194444349440 is 4494344449102.

It can be written as a sum of positive squares in 4 ways, for example, as 3963730591744 + 16230713757696 = 1990912^2 + 4028736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21013522 + ... + 21953518.

Almost surely, 220194444349440 is an apocalyptic number.

20194444349440 is a gapful number since it is divisible by the number (20) 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 20194444349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24253499396700).

20194444349440 is an abundant number, since it is smaller than the sum of its proper divisors (28312554443960).

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

20194444349440 is an equidigital number, since it uses as much as digits as its factorization.

20194444349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941075 (or 941053 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 52.

The spelling of 20194444349440 in words is "twenty trillion, one hundred ninety-four billion, four hundred forty-four million, three hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1049 1280 2048 2098 2560 4096 4196 5120 5245 8392 10240 10490 16784 20480 20980 33568 41960 67136 83920 134272 167840 268544 335680 537088 671360 939997 1074176 1342720 1879994 2148352 2685440 3759988 4296704 4699985 5370880 7519976 9399970 10741760 15039952 18799940 21483520 30079904 37599880 60159808 75199760 120319616 150399520 240639232 300799040 481278464 601598080 962556928 986056853 1203196160 1925113856 1972113706 2406392320 3850227712 3944227412 4812784640 4930284265 7888454824 9625569280 9860568530 15776909648 19251138560 19721137060 31553819296 39442274120 63107638592 78884548240 126215277184 157769096480 252430554368 315538192960 504861108736 631076385920 1009722217472 1262152771840 2019444434944 2524305543680 4038888869888 5048611087360 10097222174720 20194444349440