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430141314420 = 2232517472990831
BaseRepresentation
bin1100100001001100110…
…10111001010101110100
31112010021021202210022100
412100212122321111310
524021412134030140
6525334301102100
743035205563156
oct6204632712564
91463237683270
10430141314420
11156470616004
126b445557930
1331740080b2c
1416b672b4ad6
15b2c7b38530
hex64266b9574

430141314420 has 144 divisors (see below), whose sum is σ = 1410907051008. Its totient is φ = 105660042240.

The previous prime is 430141314409. The next prime is 430141314433. The reversal of 430141314420 is 24413141034.

430141314420 is a `hidden beast` number, since 4 + 301 + 4 + 1 + 314 + 42 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1351596 + ... + 1639235.

It is an arithmetic number, because the mean of its divisors is an integer number (9797965632).

Almost surely, 2430141314420 is an apocalyptic number.

It is an amenable number.

430141314420 is an abundant number, since it is smaller than the sum of its proper divisors (980765736588).

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

430141314420 is a wasteful number, since it uses less digits than its factorization.

430141314420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990910 (or 2990905 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 430141314420 its reverse (24413141034), we get a palindrome (454554455454).

The spelling of 430141314420 in words is "four hundred thirty billion, one hundred forty-one million, three hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 47 51 60 68 85 90 94 102 141 153 170 180 188 204 235 255 282 306 340 423 470 510 564 612 705 765 799 846 940 1020 1410 1530 1598 1692 2115 2397 2820 3060 3196 3995 4230 4794 7191 7990 8460 9588 11985 14382 15980 23970 28764 35955 47940 71910 143820 2990831 5981662 8972493 11963324 14954155 17944986 26917479 29908310 35889972 44862465 50844127 53834958 59816620 89724930 101688254 107669916 134587395 140569057 152532381 179449860 203376508 254220635 269174790 281138114 305064762 421707171 457597143 508441270 538349580 562276228 610129524 702845285 762661905 843414342 915194286 1016882540 1265121513 1405690570 1525323810 1686828684 1830388572 2108535855 2287985715 2389673969 2530243026 2811381140 3050647620 4217071710 4575971430 4779347938 5060486052 6325607565 7169021907 8434143420 9151942860 9558695876 11948369845 12651215130 14338043814 21507065721 23896739690 25302430260 28676087628 35845109535 43014131442 47793479380 71690219070 86028262884 107535328605 143380438140 215070657210 430141314420