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4430424311430 = 23513217195126347
BaseRepresentation
bin100000001111000100111…
…0111100000011010000110
3120200112200212222020011020
41000132021313200122012
51040042002110431210
613231150412452010
7635042021201415
oct100361167403206
916615625866136
104430424311430
111458a290284a7
125b679017a006
13261a306a3100
1411461003d47c
157a3a3894770
hex40789de0686

4430424311430 has 192 divisors, whose sum is σ = 12197857609728. Its totient is φ = 1025850009600.

The previous prime is 4430424311429. The next prime is 4430424311477. The reversal of 4430424311430 is 341134240344.

It is a junction number, because it is equal to n+sod(n) for n = 4430424311391 and 4430424311400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 168143517 + ... + 168169863.

It is an arithmetic number, because the mean of its divisors is an integer number (63530508384).

Almost surely, 24430424311430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4430424311430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6098928804864).

4430424311430 is an abundant number, since it is smaller than the sum of its proper divisors (7767433298298).

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

4430424311430 is a wasteful number, since it uses less digits than its factorization.

4430424311430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28351 (or 28338 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 4430424311430 its reverse (341134240344), we get a palindrome (4771558551774).

The spelling of 4430424311430 in words is "four trillion, four hundred thirty billion, four hundred twenty-four million, three hundred eleven thousand, four hundred thirty".