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254434121232340 = 2257127142310056311
BaseRepresentation
bin111001110110100000001111…
…011010100010111111010100
31020100212122221101011120222011
4321312200033122202333110
5231322122040013413330
62301045231025314004
7104410154466451420
oct7166401732427724
91210778841146864
10254434121232340
11740859a5396275
1224653054495904
13abc805b26b20a
1446b896a249b80
151e63636dec82a
hexe7680f6a2fd4

254434121232340 has 96 divisors (see below), whose sum is σ = 615882657890304. Its totient is φ = 86486840415360.

The previous prime is 254434121232307. The next prime is 254434121232353. The reversal of 254434121232340 is 43232121434452.

It is a junction number, because it is equal to n+sod(n) for n = 254434121232293 and 254434121232302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20272785 + ... + 30329095.

It is an arithmetic number, because the mean of its divisors is an integer number (6415444353024).

Almost surely, 2254434121232340 is an apocalyptic number.

254434121232340 is a gapful number since it is divisible by the number (20) 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 254434121232340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307941328945152).

254434121232340 is an abundant number, since it is smaller than the sum of its proper divisors (361448536657964).

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

254434121232340 is a wasteful number, since it uses less digits than its factorization.

254434121232340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10057877 (or 10057875 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

Adding to 254434121232340 its reverse (43232121434452), we get a palindrome (297666242666792).

The spelling of 254434121232340 in words is "two hundred fifty-four trillion, four hundred thirty-four billion, one hundred twenty-one million, two hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 127 140 254 508 635 889 1270 1423 1778 2540 2846 3556 4445 5692 7115 8890 9961 14230 17780 19922 28460 39844 49805 99610 180721 199220 361442 722884 903605 1265047 1807210 2530094 3614420 5060188 6325235 10056311 12650470 20112622 25300940 40225244 50281555 70394177 100563110 140788354 201126220 281576708 351970885 703941770 1277151497 1407883540 2554302994 5108605988 6385757485 8940060479 12771514970 14310130553 17880120958 25543029940 28620261106 35760241916 44700302395 57240522212 71550652765 89400604790 100170913871 143101305530 178801209580 200341827742 286202611060 400683655484 500854569355 1001709138710 1817386580231 2003418277420 3634773160462 7269546320924 9086932901155 12721706061617 18173865802310 25443412123234 36347731604620 50886824246468 63608530308085 127217060616170 254434121232340