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434203041312 = 25321979349971
BaseRepresentation
bin1100101000110001000…
…01001001111000100000
31112111202100121220010200
412110120201021320200
524103221434310222
6531245314025200
743240645645425
oct6243041117040
91474670556120
10434203041312
1115816532a597
1270199878200
1331c39705521
14170308d5d4c
15b464502eac
hex6518849e20

434203041312 has 72 divisors (see below), whose sum is σ = 1299752541360. Its totient is φ = 137116748160.

The previous prime is 434203041301. The next prime is 434203041317. The reversal of 434203041312 is 213140302434.

434203041312 is a `hidden beast` number, since 4 + 3 + 42 + 0 + 304 + 1 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (434203041317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39669514 + ... + 39680457.

It is an arithmetic number, because the mean of its divisors is an integer number (18052118630).

Almost surely, 2434203041312 is an apocalyptic number.

It is an amenable number.

434203041312 is an abundant number, since it is smaller than the sum of its proper divisors (865549500048).

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

434203041312 is a wasteful number, since it uses less digits than its factorization.

434203041312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79350006 (or 79349995 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 434203041312 its reverse (213140302434), we get a palindrome (647343343746).

The spelling of 434203041312 in words is "four hundred thirty-four billion, two hundred three million, forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 79349971 158699942 238049913 317399884 476099826 634799768 714149739 952199652 1269599536 1428299478 1507649449 1904399304 2539199072 2856598956 3015298898 3808798608 4522948347 5713197912 6030597796 7617597216 9045896694 11426395824 12061195592 13568845041 18091793388 22852791648 24122391184 27137690082 36183586776 48244782368 54275380164 72367173552 108550760328 144734347104 217101520656 434203041312