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430245145424250 = 232531314709235741
BaseRepresentation
bin110000111010011100100000…
…1000011110011000101111010
32002102101000220221022201202100
41201310321001003303011322
5422343114024212034000
64123015520255244230
7156424120534135332
oct14164710103630572
92072330827281670
10430245145424250
111150a8a3a140322
1240308484819676
131560bc35076550
147835d9479c0c2
1534b19e4943a00
hex1874e410f317a

430245145424250 has 96 divisors (see below), whose sum is σ = 1252873863560592. Its totient is φ = 105906497328000.

The previous prime is 430245145424243. The next prime is 430245145424251. The reversal of 430245145424250 is 52424541542034.

430245145424250 is a `hidden beast` number, since 4 + 3 + 0 + 2 + 4 + 5 + 14 + 542 + 42 + 50 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 45302982101001 + 384942163323249 = 6730749^2 + 19619943^2 .

It is a super-2 number, since 2×4302451454242502 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 430245145424196 and 430245145424205.

It is not an unprimeable number, because it can be changed into a prime (430245145424251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7354588621 + ... + 7354647120.

Almost surely, 2430245145424250 is an apocalyptic number.

430245145424250 is an abundant number, since it is smaller than the sum of its proper divisors (822628718136342).

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

430245145424250 is a wasteful number, since it uses less digits than its factorization.

430245145424250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14709235777 (or 14709235764 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 45.

Adding to 430245145424250 its reverse (52424541542034), we get a palindrome (482669686966284).

The spelling of 430245145424250 in words is "four hundred thirty trillion, two hundred forty-five billion, one hundred forty-five million, four hundred twenty-four thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 125 130 150 195 225 234 250 325 375 390 450 585 650 750 975 1125 1170 1625 1950 2250 2925 3250 4875 5850 9750 14625 29250 14709235741 29418471482 44127707223 73546178705 88255414446 132383121669 147092357410 191220064633 220638536115 264766243338 367730893525 382440129266 441277072230 573660193899 661915608345 735461787050 956100323165 1103192680575 1147320387798 1323831216690 1720980581697 1838654467625 1912200646330 2206385361150 2868300969495 3309578041725 3441961163394 3677308935250 4780501615825 5515963402875 5736601938990 6619156083450 8604902908485 9561003231650 11031926805750 14341504847475 16547890208625 17209805816970 23902508079125 28683009694950 33095780417250 43024514542425 47805016158250 71707524237375 86049029084850 143415048474750 215122572712125 430245145424250