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20340253230000 = 2435411373165247
BaseRepresentation
bin1001001111111110101011…
…00100011000001110110000
32200000111202012221111011020
410213333111210120032300
510131223314311330000
6111132103333415440
74166351302532034
oct447772544301660
980014665844136
1020340253230000
116532286751870
1223460b179a580
13b47101798822
1450468b4481c4
1525416b39cba0
hex127fd59183b0

20340253230000 has 400 divisors, whose sum is σ = 71822708576256. Its totient is φ = 4917720960000.

The previous prime is 20340253229999. The next prime is 20340253230019. The reversal of 20340253230000 is 3235204302.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 123007377 + ... + 123172623.

Almost surely, 220340253230000 is an apocalyptic number.

20340253230000 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 20340253230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35911354288128).

20340253230000 is an abundant number, since it is smaller than the sum of its proper divisors (51482455346256).

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

20340253230000 is a wasteful number, since it uses less digits than its factorization.

20340253230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165662 (or 165641 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

Adding to 20340253230000 its reverse (3235204302), we get a palindrome (20343488434302).

The spelling of 20340253230000 in words is "twenty trillion, three hundred forty billion, two hundred fifty-three million, two hundred thirty thousand".