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10000430440 = 23571113379659
BaseRepresentation
bin10010101000001001…
…00111010101101000
3221210221120111120121
421110010213111220
5130440102233230
64332155533024
7502551153610
oct112404472550
927727514517
1010000430440
114271a89450
121b3115a174
13c34b0b380
146ac235a40
153d7e4577a
hex254127568

10000430440 has 256 divisors, whose sum is σ = 30336768000. Its totient is φ = 2865300480.

The previous prime is 10000430369. The next prime is 10000430471. The reversal of 10000430440 is 4403400001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15174831 + ... + 15175489.

It is an arithmetic number, because the mean of its divisors is an integer number (118503000).

Almost surely, 210000430440 is an apocalyptic number.

10000430440 is a gapful number since it is divisible by the number (10) 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 10000430440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15168384000).

10000430440 is an abundant number, since it is smaller than the sum of its proper divisors (20336337560).

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

10000430440 is a wasteful number, since it uses less digits than its factorization.

10000430440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10000430440 its reverse (4403400001), we get a palindrome (14403830441).

The spelling of 10000430440 in words is "ten billion, four hundred thirty thousand, four hundred forty".