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20422241340000 = 25354340370689
BaseRepresentation
bin1001010010010111011000…
…11100001100101001100000
32200022100101010001000100220
410221023230130030221200
510134044222240340000
6111233503111243040
74205313115134513
oct451135434145140
980270333030326
1020422241340000
116564029914365
122359b73379480
13b51a69773a96
14508628264d7a
152563691811a0
hex1292ec70ca60

20422241340000 has 120 divisors (see below), whose sum is σ = 66989036240280. Its totient is φ = 5445931008000.

The previous prime is 20422241339959. The next prime is 20422241340077. The reversal of 20422241340000 is 4314222402.

It is a tau number, because it is divible by the number of its divisors (120).

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

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 19 ways as a sum of consecutive naturals, for example, 170125345 + ... + 170245344.

It is an arithmetic number, because the mean of its divisors is an integer number (558241968669).

Almost surely, 220422241340000 is an apocalyptic number.

20422241340000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20422241340000 is an abundant number, since it is smaller than the sum of its proper divisors (46566794900280).

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

20422241340000 is an equidigital number, since it uses as much as digits as its factorization.

20422241340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340370722 (or 340370699 counting only the distinct ones).

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

Adding to 20422241340000 its reverse (4314222402), we get a palindrome (20426555562402).

The spelling of 20422241340000 in words is "twenty trillion, four hundred twenty-two billion, two hundred forty-one million, three hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 340370689 680741378 1021112067 1361482756 1701853445 2042224134 2722965512 3403706890 4084448268 5105560335 5445931024 6807413780 8168896536 8509267225 10211120670 10891862048 13614827560 16337793072 17018534450 20422241340 25527801675 27229655120 32675586144 34037068900 40844482680 42546336125 51055603350 54459310240 68074137800 81688965360 85092672250 102111206700 127639008375 136148275600 163377930720 170185344500 204222413400 212731680625 255278016750 272296551200 340370689000 408444826800 425463361250 510556033500 638195041875 680741378000 816889653600 850926722500 1021112067000 1276390083750 1361482756000 1701853445000 2042224134000 2552780167500 3403706890000 4084448268000 5105560335000 6807413780000 10211120670000 20422241340000