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414341004244424 = 231717942150777963
BaseRepresentation
bin101111000110101110100100…
…0010111111011010111001000
32000100001121112222211112111212
41132031131020113323113020
5413302030334041310144
64025121343554312252
7153163102225465505
oct13615351027732710
92010047488745455
10414341004244424
11110027040059294
123a57a08bb88688
1314a2725c447c0a
1474462d691a4ac
1532d7e6144149e
hex178d7485fb5c8

414341004244424 has 128 divisors (see below), whose sum is σ = 829416494966400. Its totient is φ = 193371761479680.

The previous prime is 414341004244397. The next prime is 414341004244463. The reversal of 414341004244424 is 424442400143414.

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, 52033275467 + ... + 52033283429.

It is an arithmetic number, because the mean of its divisors is an integer number (6479816366925).

Almost surely, 2414341004244424 is an apocalyptic number.

It is an amenable number.

414341004244424 is an abundant number, since it is smaller than the sum of its proper divisors (415075490721976).

414341004244424 is a wasteful number, since it uses less digits than its factorization.

414341004244424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13663 (or 13659 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 41.

Adding to 414341004244424 its reverse (424442400143414), we get a palindrome (838783404387838).

The spelling of 414341004244424 in words is "four hundred fourteen trillion, three hundred forty-one billion, four million, two hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 17 34 68 136 179 358 421 716 842 1432 1684 3043 3368 5077 6086 7157 7963 10154 12172 14314 15926 20308 24344 28628 31852 40616 57256 63704 75359 86309 135371 150718 172618 270742 301436 345236 541484 602872 690472 908783 1082968 1281103 1425377 1817566 2137417 2562206 2850754 3352423 3635132 4274834 5124412 5701508 6704846 7270264 8549668 10248824 11403016 13409692 15449311 17099336 24231409 26819384 30898622 36336089 40428151 48462818 56991191 61797244 72672178 80856302 96925636 113982382 123594488 145344356 161712604 193851272 227964764 290688712 323425208 382597643 455929528 600083717 687278567 765195286 1200167434 1374557134 1530390572 2400334868 2749114268 3060781144 4800669736 5498228536 6504159931 7236639029 10201423189 13008319862 14473278058 17020251571 20402846378 26016639724 28946556116 34040503142 40805692756 52033279448 57893112232 68081006284 81611385512 123022863493 136162012568 246045726986 289344276707 492091453972 578688553414 984182907944 1157377106828 2314754213656 3046625031209 6093250062418 12186500124836 24373000249672 51792625530553 103585251061106 207170502122212 414341004244424