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20342424443040 = 253357859783119
BaseRepresentation
bin1001010000000010101101…
…11110111001100010100000
32200000201100112110112112000
410220001112332321202200
510131242241124134130
6111133103014204000
74166456145534150
oct450012676714240
980021315415460
1020342424443040
1165331a02aa307
1223465b8953600
13b4738955b37b
14504815950760
15254246cd0260
hex128056fb98a0

20342424443040 has 384 divisors, whose sum is σ = 81464527872000. Its totient is φ = 4644278166528.

The previous prime is 20342424443039. The next prime is 20342424443051. The reversal of 20342424443040 is 4034442424302.

20342424443040 is a `hidden beast` number, since 2 + 0 + 342 + 4 + 2 + 4 + 4 + 4 + 304 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20342424442986 and 20342424443004.

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 63 ways as a sum of consecutive naturals, for example, 25584601 + ... + 26367719.

It is an arithmetic number, because the mean of its divisors is an integer number (212147208000).

Almost surely, 220342424443040 is an apocalyptic number.

20342424443040 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 20342424443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40732263936000).

20342424443040 is an abundant number, since it is smaller than the sum of its proper divisors (61122103428960).

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

20342424443040 is a wasteful number, since it uses less digits than its factorization.

20342424443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784009 (or 783995 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 20342424443040 its reverse (4034442424302), we get a palindrome (24376866867342).

The spelling of 20342424443040 in words is "twenty trillion, three hundred forty-two billion, four hundred twenty-four million, four hundred forty-three thousand, forty".