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434121142032 = 2434536320189
BaseRepresentation
bin1100101000100111010…
…00101110111100010000
31112111112122111222110000
412110103220232330100
524103040003021112
6531233230410000
743235632552134
oct6242350567420
91474478458400
10434121142032
11158123081436
1270176360900
1331c2575b806
1417023a973c4
15b45c2267dc
hex6513a2ef10

434121142032 has 100 divisors (see below), whose sum is σ = 1280179765260. Its totient is φ = 141976703232.

The previous prime is 434121142031. The next prime is 434121142033. The reversal of 434121142032 is 230241121434.

434121142032 is a `hidden beast` number, since 4 + 341 + 2 + 114 + 203 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (434121142031) and next prime (434121142033).

It can be written as a sum of positive squares in 2 ways, for example, as 163850086656 + 270271055376 = 404784^2 + 519876^2 .

It is a super-2 number, since 2×4341211420322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 434121141987 and 434121142005.

It is not an unprimeable number, because it can be changed into a prime (434121142031) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3091407 + ... + 3228782.

Almost surely, 2434121142032 is an apocalyptic number.

It is an amenable number.

434121142032 is an abundant number, since it is smaller than the sum of its proper divisors (846058623228).

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

434121142032 is a wasteful number, since it uses less digits than its factorization.

434121142032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6320262 (or 6320247 counting only the distinct ones).

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

Adding to 434121142032 its reverse (230241121434), we get a palindrome (664362263466).

The spelling of 434121142032 in words is "four hundred thirty-four billion, one hundred twenty-one million, one hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 318 324 424 432 477 636 648 848 954 1272 1296 1431 1908 2544 2862 3816 4293 5724 7632 8586 11448 17172 22896 34344 68688 6320189 12640378 18960567 25280756 37921134 50561512 56881701 75842268 101123024 113763402 151684536 170645103 227526804 303369072 334970017 341290206 455053608 511935309 669940034 682580412 910107216 1004910051 1023870618 1339880068 1365160824 2009820102 2047741236 2679760136 2730321648 3014730153 4019640204 4095482472 5359520272 6029460306 8039280408 8190964944 9044190459 12058920612 16078560816 18088380918 24117841224 27132571377 36176761836 48235682448 54265142754 72353523672 108530285508 144707047344 217060571016 434121142032