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20041303100040 = 23325433385738239
BaseRepresentation
bin1001000111010001110101…
…10000001000101010001000
32121221221002212112101100200
410203220322300020222020
510111324042043200130
6110342503022532200
74135636113414105
oct443507260105210
977857085471320
1020041303100040
116427518140462
1222b817ba37060
13b24b6b3182c1
144d400b915aac
1524b4c0e71760
hex123a3ac08a88

20041303100040 has 192 divisors, whose sum is σ = 66652696281600. Its totient is φ = 5219769655296.

The previous prime is 20041303099991. The next prime is 20041303100041. The reversal of 20041303100040 is 4000130314002.

20041303100040 is a `hidden beast` number, since 200 + 413 + 0 + 3 + 10 + 0 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20041303099986 and 20041303100022.

It is not an unprimeable number, because it can be changed into a prime (20041303100041) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 524087241 + ... + 524125479.

It is an arithmetic number, because the mean of its divisors is an integer number (347149459800).

Almost surely, 220041303100040 is an apocalyptic number.

20041303100040 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 20041303100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33326348140800).

20041303100040 is an abundant number, since it is smaller than the sum of its proper divisors (46611393181560).

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

20041303100040 is a wasteful number, since it uses less digits than its factorization.

20041303100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72156 (or 72149 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20041303100040 its reverse (4000130314002), we get a palindrome (24041433414042).

The spelling of 20041303100040 in words is "twenty trillion, forty-one billion, three hundred three million, one hundred thousand, forty".