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412030210560 = 2935439911259
BaseRepresentation
bin1011111111011101110…
…10100001001000000000
31110101112002112101102220
411333232322201020000
523222314213214220
6513141205211040
741524331001123
oct5775672411000
91411462471386
10412030210560
11149817348681
1267a30100a80
132cb14b1c927
1415d29c063ba
15aab7b35540
hex5feeea1200

412030210560 has 320 divisors, whose sum is σ = 1350273576960. Its totient is φ = 107126046720.

The previous prime is 412030210483. The next prime is 412030210561. The reversal of 412030210560 is 65012030214.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 412030210560.

It is not an unprimeable number, because it can be changed into a prime (412030210561) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 327267211 + ... + 327268469.

It is an arithmetic number, because the mean of its divisors is an integer number (4219604928).

Almost surely, 2412030210560 is an apocalyptic number.

412030210560 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 412030210560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675136788480).

412030210560 is an abundant number, since it is smaller than the sum of its proper divisors (938243366400).

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

412030210560 is a wasteful number, since it uses less digits than its factorization.

412030210560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 412030210560 its reverse (65012030214), we get a palindrome (477042240774).

The spelling of 412030210560 in words is "four hundred twelve billion, thirty million, two hundred ten thousand, five hundred sixty".