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11402414430 = 23511267173271
BaseRepresentation
bin10101001111010001…
…10000100101011110
31002102122122200001120
422213220300211132
5141323004230210
65123241151410
7552363631521
oct124750604536
932378580046
1011402414430
114921402800
12226278b566
1310c9402bb4
147a2502bb8
1546b07d270
hex2a7a3095e

11402414430 has 192 divisors, whose sum is σ = 30818479104. Its totient is φ = 2697235200.

The previous prime is 11402414423. The next prime is 11402414453. The reversal of 11402414430 is 3441420411.

11402414430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11402414430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42075195 + ... + 42075465.

It is an arithmetic number, because the mean of its divisors is an integer number (160512912).

Almost surely, 211402414430 is an apocalyptic number.

11402414430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11402414430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15409239552).

11402414430 is an abundant number, since it is smaller than the sum of its proper divisors (19416064674).

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

11402414430 is a wasteful number, since it uses less digits than its factorization.

11402414430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11402414430 its reverse (3441420411), we get a palindrome (14843834841).

The spelling of 11402414430 in words is "eleven billion, four hundred two million, four hundred fourteen thousand, four hundred thirty".