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430443223420 = 22572919477941
BaseRepresentation
bin1100100001110000110…
…10100101100101111100
31112011001022212100121011
412100320122211211330
524023021431122140
6525424244045004
743045533013300
oct6207032454574
91464038770534
10430443223420
11156605a83781
126b50a693764
133178a799802
1416b95423d00
15b2e43c2cea
hex64386a597c

430443223420 has 72 divisors (see below), whose sum is σ = 1052657696160. Its totient is φ = 147419637120.

The previous prime is 430443223391. The next prime is 430443223477. The reversal of 430443223420 is 24322344034.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 661650 + ... + 1139590.

It is an arithmetic number, because the mean of its divisors is an integer number (14620245780).

Almost surely, 2430443223420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430443223420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526328848080).

430443223420 is an abundant number, since it is smaller than the sum of its proper divisors (622214472740).

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

430443223420 is a wasteful number, since it uses less digits than its factorization.

430443223420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478883 (or 478874 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 31.

Adding to 430443223420 its reverse (24322344034), we get a palindrome (454765567454).

The spelling of 430443223420 in words is "four hundred thirty billion, four hundred forty-three million, two hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 919 980 1838 3676 4595 6433 9190 12866 18380 25732 32165 45031 64330 90062 128660 180124 225155 450310 477941 900620 955882 1911764 2389705 3345587 4779410 6691174 9558820 13382348 16727935 23419109 33455870 46838218 66911740 93676436 117095545 234191090 439227779 468382180 878455558 1756911116 2196138895 3074594453 4392277790 6149188906 8784555580 12298377812 15372972265 21522161171 30745944530 43044322342 61491889060 86088644684 107610805855 215221611710 430443223420