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430141130440 = 2357231036171051
BaseRepresentation
bin1100100001001100110…
…10001100011011001000
31112010021021102102221021
412100212122030123020
524021412112133230
6525334253122224
743035204165610
oct6204632143310
91463237372837
10430141130440
111564704aa85a
126b445489374
1331740018178
1416b67267a40
15b2c7aedc7a
hex642668c6c8

430141130440 has 256 divisors, whose sum is σ = 1168372408320. Its totient is φ = 139336243200.

The previous prime is 430141130423. The next prime is 430141130449. The reversal of 430141130440 is 44031141034.

It is not an unprimeable number, because it can be changed into a prime (430141130449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 409267915 + ... + 409268965.

It is an arithmetic number, because the mean of its divisors is an integer number (4563954720).

Almost surely, 2430141130440 is an apocalyptic number.

430141130440 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 430141130440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584186204160).

430141130440 is an abundant number, since it is smaller than the sum of its proper divisors (738231277880).

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

430141130440 is a wasteful number, since it uses less digits than its factorization.

430141130440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1808 counting only the distinct ones).

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

Adding to 430141130440 its reverse (44031141034), we get a palindrome (474172271474).

The spelling of 430141130440 in words is "four hundred thirty billion, one hundred forty-one million, one hundred thirty thousand, four hundred forty".