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430141424320 = 2657118932281
BaseRepresentation
bin1100100001001100110…
…11010100001011000000
31112010021021222101001201
412100212123110023000
524021412201034240
6525334303310544
743035206531446
oct6204633241300
91463237871051
10430141424320
11156470690633
126b4455ab454
13317400bbb6a
1416b67302b96
15b2c7b5ad9a
hex64266d42c0

430141424320 has 56 divisors (see below), whose sum is σ = 1038700719648. Its totient is φ = 169633228800.

The previous prime is 430141424269. The next prime is 430141424329. The reversal of 430141424320 is 23424141034.

It is a super-3 number, since 3×4301414243203 (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (430141424329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9443421 + ... + 9488860.

Almost surely, 2430141424320 is an apocalyptic number.

430141424320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

430141424320 is an abundant number, since it is smaller than the sum of its proper divisors (608559295328).

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

430141424320 is a wasteful number, since it uses less digits than its factorization.

430141424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18932369 (or 18932359 counting only the distinct ones).

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

Adding to 430141424320 its reverse (23424141034), we get a palindrome (453565565354).

The spelling of 430141424320 in words is "four hundred thirty billion, one hundred forty-one million, four hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 142 160 284 320 355 568 710 1136 1420 2272 2840 4544 5680 11360 22720 18932281 37864562 75729124 94661405 151458248 189322810 302916496 378645620 605832992 757291240 1211665984 1344191951 1514582480 2688383902 3029164960 5376767804 6058329920 6720959755 10753535608 13441919510 21507071216 26883839020 43014142432 53767678040 86028284864 107535356080 215070712160 430141424320