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530432401440 = 25357325315981
BaseRepresentation
bin1111011100000000011…
…11000010000000100000
31212201010202010212212210
413232000033002000200
532142311143321230
61043402143122120
753215416006654
oct7560017020040
91781122125783
10530432401440
11194a56298097
12869748a3340
133b033c8a4c6
141b95cc68a64
15dbe76c0eb0
hex7b803c2020

530432401440 has 192 divisors, whose sum is σ = 1694703088512. Its totient is φ = 139432550400.

The previous prime is 530432401399. The next prime is 530432401451. The reversal of 530432401440 is 44104234035.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 530432401398 and 530432401407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88683250 + ... + 88689230.

It is an arithmetic number, because the mean of its divisors is an integer number (8826578586).

Almost surely, 2530432401440 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 530432401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847351544256).

530432401440 is an abundant number, since it is smaller than the sum of its proper divisors (1164270687072).

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

530432401440 is a wasteful number, since it uses less digits than its factorization.

530432401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8603 (or 8595 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 530432401440 its reverse (44104234035), we get a palindrome (574536635475).

The spelling of 530432401440 in words is "five hundred thirty billion, four hundred thirty-two million, four hundred one thousand, four hundred forty".