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20141266422420 = 223351113463613919
BaseRepresentation
bin1001001010001100000010…
…00001111100101010010100
32122022111010111011022101000
410211012001001330222110
510114443303201004140
6110500434155503300
74146105233552553
oct445060101745224
978274114138330
1020141266422420
1164659548a5080
122313619457b30
13b3140c3554c0
144d8bb1b49d9a
1524ddc1d63a30
hex12518107ca94

20141266422420 has 768 divisors, whose sum is σ = 73976323276800. Its totient is φ = 4485179381760.

The previous prime is 20141266422377. The next prime is 20141266422443. The reversal of 20141266422420 is 2422466214102.

20141266422420 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 1 + 2 + 6 + 642 + 2 + 4 + 2 + 0 = 666.

It is a super-2 number, since 2×201412664224202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21916502721 + ... + 21916503639.

It is an arithmetic number, because the mean of its divisors is an integer number (96323337600).

Almost surely, 220141266422420 is an apocalyptic number.

20141266422420 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 20141266422420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36988161638400).

20141266422420 is an abundant number, since it is smaller than the sum of its proper divisors (53835056854380).

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

20141266422420 is a wasteful number, since it uses less digits than its factorization.

20141266422420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 20141266422420 in words is "twenty trillion, one hundred forty-one billion, two hundred sixty-six million, four hundred twenty-two thousand, four hundred twenty".