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430132130340 = 22351117122931193
BaseRepresentation
bin1100100001001011101…
…11110111001000100100
31112010020122111012010020
412100211313313020210
524021402311132330
6525333332155140
743035034532343
oct6204567671044
91463218435106
10430132130340
11156466412960
126b442468ab0
133173b1b6773
1416b65da3b5a
15b2c6e22210
hex6425df7224

430132130340 has 192 divisors, whose sum is σ = 1392320482560. Its totient is φ = 98057666560.

The previous prime is 430132130321. The next prime is 430132130399. The reversal of 430132130340 is 43031231034.

It is a self number, because there is not a number n which added to its sum of digits gives 430132130340.

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, 13773784 + ... + 13804976.

It is an arithmetic number, because the mean of its divisors is an integer number (7251669180).

Almost surely, 2430132130340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430132130340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696160241280).

430132130340 is an abundant number, since it is smaller than the sum of its proper divisors (962188352220).

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

430132130340 is a wasteful number, since it uses less digits than its factorization.

430132130340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32462 (or 32460 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 430132130340 its reverse (43031231034), we get a palindrome (473163361374).

The spelling of 430132130340 in words is "four hundred thirty billion, one hundred thirty-two million, one hundred thirty thousand, three hundred forty".