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422401406334432 = 2537289796217333
BaseRepresentation
bin110000000001010111111110…
…1110001101111010111100000
32001101121011212021102000220220
41200002233331301233113200
5420331111040010200212
64054212305513003040
7154654331423010600
oct14002577561572740
92041534767360826
10422401406334432
11112654480991778
123b4602803b3480
1315190387b8cc25
1476444a11d8c00
1533c796b08238c
hex1802bfdc6f5e0

422401406334432 has 72 divisors (see below), whose sum is σ = 1289832865785576. Its totient is φ = 120686116094208.

The previous prime is 422401406334421. The next prime is 422401406334433. The reversal of 422401406334432 is 234433604104224.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422401406334433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44898103963 + ... + 44898113370.

It is an arithmetic number, because the mean of its divisors is an integer number (17914345358133).

Almost surely, 2422401406334432 is an apocalyptic number.

422401406334432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

422401406334432 is an abundant number, since it is smaller than the sum of its proper divisors (867431459451144).

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

422401406334432 is a wasteful number, since it uses less digits than its factorization.

422401406334432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89796217360 (or 89796217345 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 42.

The spelling of 422401406334432 in words is "four hundred twenty-two trillion, four hundred one billion, four hundred six million, three hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 89796217333 179592434666 269388651999 359184869332 538777303998 628573521331 718369738664 1077554607996 1257147042662 1436739477328 1885720563993 2155109215992 2514294085324 2873478954656 3771441127986 4310218431984 4400014649317 5028588170648 7542882255972 8620436863968 8800029298634 10057176341296 13200043947951 15085764511944 17600058597268 20114352682592 26400087895902 30171529023888 35200117194536 52800175791804 60343058047776 70400234389072 105600351583608 140800468778144 211200703167216 422401406334432