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20325144140000 = 2554733780077
BaseRepresentation
bin1001001111100010100001…
…11111110001100011100000
32122222001202020112012010022
410213301100333301203200
510131001343344440000
6111121124201253012
74165305006431000
oct447612077614340
978861666465108
1020325144140000
116526932a9a927
122343195794168
13b4586447569b
14503a56948000
15253a84bda585
hex127c50ff18e0

20325144140000 has 480 divisors, whose sum is σ = 59889183076800. Its totient is φ = 6780195072000.

The previous prime is 20325144139981. The next prime is 20325144140003. The reversal of 20325144140000 is 4144152302.

It is a super-2 number, since 2×203251441400002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20325144140003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 253779962 + ... + 253860038.

It is an arithmetic number, because the mean of its divisors is an integer number (124769131410).

Almost surely, 220325144140000 is an apocalyptic number.

20325144140000 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 20325144140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29944591538400).

20325144140000 is an abundant number, since it is smaller than the sum of its proper divisors (39564038936800).

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

20325144140000 is an frugal number, since it uses more digits than its factorization.

20325144140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80165 (or 80128 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 20325144140000 its reverse (4144152302), we get a palindrome (20329288292302).

The spelling of 20325144140000 in words is "twenty trillion, three hundred twenty-five billion, one hundred forty-four million, one hundred forty thousand".