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424433024043344 = 2429163167277121313
BaseRepresentation
bin110000010000001010000001…
…1101000010000100101010000
32001122210101211012112220200222
41200200110003220100211100
5421112402313123341334
64102405501155132212
7155254163000422211
oct14040240350204520
92048711735486628
10424433024043344
111132680421431a8
123b729b68ba4068
13152a9b299b27a4
1476b494ccb7408
153410724bd4d2e
hex1820503a10950

424433024043344 has 160 divisors (see below), whose sum is σ = 864155298021120. Its totient is φ = 201689814122496.

The previous prime is 424433024043341. The next prime is 424433024043419. The reversal of 424433024043344 is 443340420334424.

It is a junction number, because it is equal to n+sod(n) for n = 424433024043295 and 424433024043304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424433024043341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3498600032 + ... + 3498721344.

It is an arithmetic number, because the mean of its divisors is an integer number (5400970612632).

Almost surely, 2424433024043344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424433024043344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432077649010560).

424433024043344 is an abundant number, since it is smaller than the sum of its proper divisors (439722273977776).

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

424433024043344 is a wasteful number, since it uses less digits than its factorization.

424433024043344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121957 (or 121951 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 44.

Adding to 424433024043344 its reverse (443340420334424), we get a palindrome (867773444377768).

The spelling of 424433024043344 in words is "four hundred twenty-four trillion, four hundred thirty-three billion, twenty-four million, forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 58 116 163 167 232 277 326 334 464 554 652 668 1108 1304 1336 2216 2608 2672 4432 4727 4843 8033 9454 9686 16066 18908 19372 27221 32132 37816 38744 45151 46259 54442 64264 75632 77488 90302 92518 108884 121313 128528 180604 185036 217768 242626 361208 370072 435536 485252 722416 740144 789409 970504 1309379 1341511 1578818 1941008 2618758 2683022 3157636 3518077 5237516 5366044 6315272 7036154 7540217 10475032 10732088 12630544 14072308 15080434 19774019 20259271 20950064 21464176 28144616 30160868 33603701 39548038 40518542 56289232 60321736 67207402 79096076 81037084 120643472 134414804 158192152 162074168 218666293 268829608 316384304 324148336 437332586 537659216 573446551 587518859 874665172 974507329 1146893102 1175037718 1749330344 1949014658 2293786204 2350075436 3302261173 3498660688 3898029316 4587572408 4700150872 5477403263 5611818067 6604522346 7796058632 9175144816 9400301744 10954806526 11223636134 13209044692 15592117264 21909613052 22447272268 26418089384 43819226104 44894544536 52836178768 87638452208 89789089072 95765574017 158844694627 162742723943 191531148034 317689389254 325485447886 383062296068 635378778508 650970895772 766124592136 914726344921 1270757557016 1301941791544 1532249184272 1829452689842 2541515114032 2603883583088 3658905379684 7317810759368 14635621518736 26527064002709 53054128005418 106108256010836 212216512021672 424433024043344