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430302040130000 = 24541031103378757
BaseRepresentation
bin110000111010110111000000…
…0001111111000000111010000
32002102120110210000202020121102
41201311232000033320013100
5422400032034233130000
64123102010034243532
7156431203456145123
oct14165560017700720
92072513700666542
10430302040130000
1111512008577a8a5
12403175027265a8
13156144013739cc
147838a30a7a3ba
1534b32247543d5
hex1875b803f81d0

430302040130000 has 200 divisors, whose sum is σ = 1052875342641408. Its totient is φ = 170294757696000.

The previous prime is 430302040129961. The next prime is 430302040130003. The reversal of 430302040130000 is 31040203034.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430302040130003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1135900622 + ... + 1136279378.

Almost surely, 2430302040130000 is an apocalyptic number.

430302040130000 is a gapful number since it is divisible by the number (40) 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 430302040130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526437671320704).

430302040130000 is an abundant number, since it is smaller than the sum of its proper divisors (622573302511408).

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

430302040130000 is a wasteful number, since it uses less digits than its factorization.

430302040130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379991 (or 379970 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 430302040130000 its reverse (31040203034), we get a palindrome (430333080333034).

The spelling of 430302040130000 in words is "four hundred thirty trillion, three hundred two billion, forty million, one hundred thirty thousand".