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430441404130420 = 225294453316664953
BaseRepresentation
bin110000111011110111111001…
…0111111010110010001110100
32002110001210111112200222221121
41201313233302333112101310
5422404322443424133140
64123250015020353324
7156444236155461214
oct14167576277262164
92073053445628847
10430441404130420
111151741a1058051
124033a5173a5844
13156245b1244397
147841691a30244
1534b6b7e6e664a
hex1877bf2fd6474

430441404130420 has 48 divisors (see below), whose sum is σ = 935117897409360. Its totient is φ = 166235695911936.

The previous prime is 430441404130379. The next prime is 430441404130489. The reversal of 430441404130420 is 24031404144034.

It can be written as a sum of positive squares in 8 ways, for example, as 27092503862116 + 403348900268304 = 5205046^2 + 20083548^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17496664 + ... + 34161616.

It is an arithmetic number, because the mean of its divisors is an integer number (19481622862695).

Almost surely, 2430441404130420 is an apocalyptic number.

It is an amenable number.

430441404130420 is an abundant number, since it is smaller than the sum of its proper divisors (504676493278940).

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

430441404130420 is a wasteful number, since it uses less digits than its factorization.

430441404130420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16709524 (or 16709522 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 430441404130420 its reverse (24031404144034), we get a palindrome (454472808274454).

The spelling of 430441404130420 in words is "four hundred thirty trillion, four hundred forty-one billion, four hundred four million, one hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 44533 89066 178132 222665 445330 890660 1291457 2582914 5165828 6457285 12914570 16664953 25829140 33329906 66659812 83324765 166649530 333299060 483283637 966567274 1933134548 2416418185 4832836370 9665672740 742140351949 1484280703898 2968561407796 3710701759745 7421403519490 14842807038980 21522070206521 43044140413042 86088280826084 107610351032605 215220702065210 430441404130420