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430214142324 = 2231937233218873
BaseRepresentation
bin1100100001010101100…
…00101101100101110100
31112010110100210211102010
412100222300231211310
524022034310023244
6525345422044220
743040051605341
oct6205260554564
91463410724363
10430214142324
111564a873875a
126b465a19670
133175219c875
1416b72c317c8
15b2ce221eb9
hex642ac2d974

430214142324 has 96 divisors (see below), whose sum is σ = 1089887460480. Its totient is φ = 131617363968.

The previous prime is 430214142311. The next prime is 430214142331. The reversal of 430214142324 is 423241412034.

It is a junction number, because it is equal to n+sod(n) for n = 430214142291 and 430214142300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1856152 + ... + 2075024.

It is an arithmetic number, because the mean of its divisors is an integer number (11352994380).

Almost surely, 2430214142324 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 430214142324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544943730240).

430214142324 is an abundant number, since it is smaller than the sum of its proper divisors (659673318156).

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

430214142324 is a wasteful number, since it uses less digits than its factorization.

430214142324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219169 (or 219167 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 430214142324 its reverse (423241412034), we get a palindrome (853455554358).

The spelling of 430214142324 in words is "four hundred thirty billion, two hundred fourteen million, one hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 111 114 148 222 228 233 444 466 699 703 932 1398 1406 2109 2796 2812 4218 4427 8436 8621 8854 13281 17242 17708 25863 26562 34484 51726 53124 103452 163799 218873 327598 437746 491397 655196 656619 875492 982794 1313238 1965588 2626476 4158587 8098301 8317174 12475761 16196602 16634348 24294903 24951522 32393204 48589806 49903044 50997409 97179612 101994818 152992227 153867719 203989636 305984454 307735438 461603157 611968908 615470876 923206314 968950771 1846412628 1886904133 1937901542 2906852313 3773808266 3875803084 5660712399 5813704626 7547616532 11321424798 11627409252 22642849596 35851178527 71702357054 107553535581 143404714108 215107071162 430214142324