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424315278960 = 243515111708479
BaseRepresentation
bin1100010110010110010…
…10010101011001110000
31111120020021001112010020
412023023022111121300
523422444202411320
6522532221003440
742440633235066
oct6131312253160
91446207045106
10424315278960
11153a50a05371
126a29a3b3580
1331022054a81
141677362c036
15b086415940
hex62cb295670

424315278960 has 80 divisors (see below), whose sum is σ = 1324088586240. Its totient is φ = 112401388800.

The previous prime is 424315278941. The next prime is 424315278971. The reversal of 424315278960 is 69872513424.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5818000 + ... + 5890479.

It is an arithmetic number, because the mean of its divisors is an integer number (16551107328).

It is a 1-persistent number, because it is pandigital, but 2⋅424315278960 = 848630557920 is not.

Almost surely, 2424315278960 is an apocalyptic number.

424315278960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424315278960 is an abundant number, since it is smaller than the sum of its proper divisors (899773307280).

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

424315278960 is a wasteful number, since it uses less digits than its factorization.

424315278960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11708646 (or 11708640 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 424315278960 in words is "four hundred twenty-four billion, three hundred fifteen million, two hundred seventy-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 151 240 302 453 604 755 906 1208 1510 1812 2265 2416 3020 3624 4530 6040 7248 9060 12080 18120 36240 11708479 23416958 35125437 46833916 58542395 70250874 93667832 117084790 140501748 175627185 187335664 234169580 281003496 351254370 468339160 562006992 702508740 936678320 1405017480 1767980329 2810034960 3535960658 5303940987 7071921316 8839901645 10607881974 14143842632 17679803290 21215763948 26519704935 28287685264 35359606580 42431527896 53039409870 70719213160 84863055792 106078819740 141438426320 212157639480 424315278960