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20401220240 = 2452417105509
BaseRepresentation
bin10011000000000000…
…011110101010010000
31221122210111100221122
4103000000132222100
5313240203021430
613212220541412
71321363340132
oct230000365220
957583440848
1020401220240
118719a587a5
123b543b1868
131c0185576b
14db76c7052
157e60c0ee5
hex4c001ea90

20401220240 has 40 divisors (see below), whose sum is σ = 47452911480. Its totient is φ = 8157034496.

The previous prime is 20401220207. The next prime is 20401220251. The reversal of 20401220240 is 4202210402.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8919669136 + 11481551104 = 94444^2 + 107152^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140606 + ... + 246114.

It is an arithmetic number, because the mean of its divisors is an integer number (1186322787).

Almost surely, 220401220240 is an apocalyptic number.

20401220240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20401220240 is an abundant number, since it is smaller than the sum of its proper divisors (27051691240).

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

20401220240 is a wasteful number, since it uses less digits than its factorization.

20401220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107939 (or 107933 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 20401220240 its reverse (4202210402), we get a palindrome (24603430642).

The spelling of 20401220240 in words is "twenty billion, four hundred one million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2417 4834 9668 12085 19336 24170 38672 48340 96680 105509 193360 211018 422036 527545 844072 1055090 1688144 2110180 4220360 8440720 255015253 510030506 1020061012 1275076265 2040122024 2550152530 4080244048 5100305060 10200610120 20401220240