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11430422400 = 273523533373
BaseRepresentation
bin10101010010100111…
…00110011110000000
31002111121100121202210
422221103212132000
5141402142004100
65130121342120
7553153662435
oct125123463600
932447317683
1011430422400
1149361a2591
122270037940
13110215b267
147a6113b8c
1546d761c50
hex2a94e6780

11430422400 has 192 divisors, whose sum is σ = 37766801520. Its totient is φ = 3038576640.

The previous prime is 11430422383. The next prime is 11430422461. The reversal of 11430422400 is 422403411.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3387114 + ... + 3390486.

Almost surely, 211430422400 is an apocalyptic number.

11430422400 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 11430422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18883400760).

11430422400 is an abundant number, since it is smaller than the sum of its proper divisors (26336379120).

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

11430422400 is a wasteful number, since it uses less digits than its factorization.

11430422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 11430422400 its reverse (422403411), we get a palindrome (11852825811).

The spelling of 11430422400 in words is "eleven billion, four hundred thirty million, four hundred twenty-two thousand, four hundred".