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430142213120 = 2105127661513
BaseRepresentation
bin1100100001001100111…
…10010100110000000000
31112010021100110110002112
412100212132110300000
524021412401304440
6525334332234452
743035216325244
oct6204636246000
91463240413075
10430142213120
1115647107a234
126b44590ba28
1331740306bc9
1416b6746a424
15b2c7c64965
hex6426794c00

430142213120 has 88 divisors (see below), whose sum is σ = 1039963513344. Its totient is φ = 170701848576.

The previous prime is 430142213117. The next prime is 430142213197. The reversal of 430142213120 is 21312241034.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 319484 + ... + 980996.

Almost surely, 2430142213120 is an apocalyptic number.

430142213120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430142213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519981756672).

430142213120 is an abundant number, since it is smaller than the sum of its proper divisors (609821300224).

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

430142213120 is a wasteful number, since it uses less digits than its factorization.

430142213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661665 (or 661647 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 430142213120 its reverse (21312241034), we get a palindrome (451454454154).

The spelling of 430142213120 in words is "four hundred thirty billion, one hundred forty-two million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 160 254 256 320 508 512 635 640 1016 1024 1270 1280 2032 2540 2560 4064 5080 5120 8128 10160 16256 20320 32512 40640 65024 81280 130048 162560 325120 650240 661513 1323026 2646052 3307565 5292104 6615130 10584208 13230260 21168416 26460520 42336832 52921040 84012151 84673664 105842080 168024302 169347328 211684160 336048604 338694656 420060755 423368320 672097208 677389312 840121510 846736640 1344194416 1680243020 1693473280 2688388832 3360486040 3386946560 5376777664 6720972080 10753555328 13441944160 21507110656 26883888320 43014221312 53767776640 86028442624 107535553280 215071106560 430142213120