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434101422430 = 2513217103314627
BaseRepresentation
bin1100101000100100111…
…01100000100101011110
31112111111021102010020101
412110102131200211132
524103014431004210
6531231244011314
743235303131444
oct6242235404536
91474437363211
10434101422430
11158112a32845
127016b830b3a
1331c21645c00
1417021202b94
15b45a62da3a
hex651276095e

434101422430 has 96 divisors (see below), whose sum is σ = 896812370784. Its totient is φ = 150698815488.

The previous prime is 434101422409. The next prime is 434101422473. The reversal of 434101422430 is 34224101434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29670777 + ... + 29685403.

It is an arithmetic number, because the mean of its divisors is an integer number (9341795529).

Almost surely, 2434101422430 is an apocalyptic number.

434101422430 is an abundant number, since it is smaller than the sum of its proper divisors (462710948354).

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

434101422430 is a wasteful number, since it uses less digits than its factorization.

434101422430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15710 (or 15697 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 434101422430 its reverse (34224101434), we get a palindrome (468325523864).

The spelling of 434101422430 in words is "four hundred thirty-four billion, one hundred one million, four hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 169 170 221 338 442 845 1033 1105 1690 2066 2210 2873 5165 5746 10330 13429 14365 14627 17561 26858 28730 29254 35122 67145 73135 87805 134290 146270 174577 175610 190151 228293 248659 349154 380302 456586 497318 872885 950755 1141465 1243295 1745770 1901510 2282930 2471963 2486590 2967809 3232567 4943926 5935618 6465134 12359815 14839045 15109691 16162835 24719630 29678090 30219382 32325670 42023371 75548455 84046742 151096910 196425983 210116855 256864747 392851966 420233710 513729494 982129915 1284323735 1964259830 2553537779 2568647470 3339241711 5107075558 6678483422 12767688895 16696208555 25535377790 33392417110 43410142243 86820284486 217050711215 434101422430