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4234224341430 = 2325531933459223
BaseRepresentation
bin111101100111011011011…
…100000001000110110110
3112222210021101010001211200
4331213123130001012312
51023333142412411210
613001101550313330
7614625012030156
oct75473334010666
915883241101750
104234224341430
1113927a7289066
125847551b8846
1324939372bbc5
14108d1a8da766
157521dd450c0
hex3d9db7011b6

4234224341430 has 96 divisors (see below), whose sum is σ = 11222527133376. Its totient is φ = 1107246696192.

The previous prime is 4234224341407. The next prime is 4234224341453. The reversal of 4234224341430 is 341434224324.

4234224341430 is a `hidden beast` number, since 4 + 2 + 342 + 243 + 41 + 4 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (4234224341407) and next prime (4234224341453).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8990799 + ... + 9450021.

It is an arithmetic number, because the mean of its divisors is an integer number (116901324306).

Almost surely, 24234224341430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234224341430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5611263566688).

4234224341430 is an abundant number, since it is smaller than the sum of its proper divisors (6988302791946).

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

4234224341430 is a wasteful number, since it uses less digits than its factorization.

4234224341430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461222 (or 461219 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 4234224341430 its reverse (341434224324), we get a palindrome (4575658565754).

The spelling of 4234224341430 in words is "four trillion, two hundred thirty-four billion, two hundred twenty-four million, three hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 1933 2385 3866 4770 5799 9665 11598 17397 19330 28995 34794 57990 86985 102449 173970 204898 307347 459223 512245 614694 918446 922041 1024490 1377669 1536735 1844082 2296115 2755338 3073470 4133007 4592230 4610205 6888345 8266014 9220410 13776690 20665035 24338819 41330070 48677638 73016457 121694095 146032914 219049371 243388190 365082285 438098742 730164570 887678059 1095246855 1775356118 2190493710 2663034177 4438390295 5326068354 7989102531 8876780590 13315170885 15978205062 26630341770 39945512655 47046937127 79891025310 94093874254 141140811381 235234685635 282281622762 423422434143 470469371270 705704056905 846844868286 1411408113810 2117112170715 4234224341430