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23210141344000 = 2853131726312479
BaseRepresentation
bin1010100011100000010000…
…01110101110000100000000
310001011212102122202010020121
411101300020032232010000
511020233332141002000
6121210331451550024
74613606640153412
oct521601016560400
9101155378663217
1023210141344000
117439402779846
12272a34545b314
13cc49261ab270
145a353c06c9b2
152a3b3802bb1a
hex151c083ae100

23210141344000 has 576 divisors, whose sum is σ = 66185758679040. Its totient is φ = 8034474393600.

The previous prime is 23210141343997. The next prime is 23210141344067. The reversal of 23210141344000 is 44314101232.

It is a super-2 number, since 2×232101413440002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1859929761 + ... + 1859942239.

It is an arithmetic number, because the mean of its divisors is an integer number (114905831040).

Almost surely, 223210141344000 is an apocalyptic number.

23210141344000 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 23210141344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33092879339520).

23210141344000 is an abundant number, since it is smaller than the sum of its proper divisors (42975617335040).

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

23210141344000 is a wasteful number, since it uses less digits than its factorization.

23210141344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12803 (or 12779 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 23210141344000 its reverse (44314101232), we get a palindrome (23254455445232).

The spelling of 23210141344000 in words is "twenty-three trillion, two hundred ten billion, one hundred forty-one million, three hundred forty-four thousand".