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2041114432 = 2675098951
BaseRepresentation
bin111100110101000…
…1110111101000000
312021020201100121211
41321222032331000
513140011130212
6534312055504
7101403120640
oct17152167500
95236640554
102041114432
11958179535
1248b694594
13266b41226
1415511c520
15be2d49a7
hex79a8ef40

2041114432 has 56 divisors (see below), whose sum is σ = 4638568320. Its totient is φ = 872947200.

The previous prime is 2041114399. The next prime is 2041114447. The reversal of 2041114432 is 2344111402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×20411144322 = 8332296249037365248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223557 + ... + 232507.

Almost surely, 22041114432 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 2041114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319284160).

2041114432 is an abundant number, since it is smaller than the sum of its proper divisors (2597453888).

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

2041114432 is an equidigital number, since it uses as much as digits as its factorization.

2041114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9479 (or 9469 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2041114432 is about 45178.6944477151. The cubic root of 2041114432 is about 1268.4960459726.

Adding to 2041114432 its reverse (2344111402), we get a palindrome (4385225834).

It can be divided in two parts, 20411 and 14432, that added together give a palindrome (34843).

The spelling of 2041114432 in words is "two billion, forty-one million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 509 1018 2036 3563 4072 7126 8144 8951 14252 16288 17902 28504 32576 35804 57008 62657 71608 114016 125314 143216 228032 250628 286432 501256 572864 1002512 2005024 4010048 4556059 9112118 18224236 31892413 36448472 63784826 72896944 127569652 145793888 255139304 291587776 510278608 1020557216 2041114432