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424520326144 = 21029137104347
BaseRepresentation
bin1100010110101110110…
…00100001110000000000
31111120202112212222222101
412023113120201300000
523423404200414034
6523004423520144
742446003143225
oct6132730416000
91446675788871
10424520326144
11154046725352
126a336bb9054
1331055688475
141679296594c
15b09941a514
hex62d7621c00

424520326144 has 88 divisors (see below), whose sum is σ = 884305473840. Its totient is φ = 203442978816.

The previous prime is 424520326123. The next prime is 424520326151. The reversal of 424520326144 is 441623025424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4016179 + ... + 4120525.

Almost surely, 2424520326144 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 424520326144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442152736920).

424520326144 is an abundant number, since it is smaller than the sum of its proper divisors (459785147696).

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

424520326144 is a wasteful number, since it uses less digits than its factorization.

424520326144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104533 (or 104515 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

The spelling of 424520326144 in words is "four hundred twenty-four billion, five hundred twenty million, three hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 137 232 256 274 464 512 548 928 1024 1096 1856 2192 3712 3973 4384 7424 7946 8768 14848 15892 17536 29696 31784 35072 63568 70144 104347 127136 140288 208694 254272 417388 508544 834776 1017088 1669552 2034176 3026063 3339104 4068352 6052126 6678208 12104252 13356416 14295539 24208504 26712832 28591078 48417008 53425664 57182156 96834016 106851328 114364312 193668032 228728624 387336064 414570631 457457248 774672128 829141262 914914496 1549344256 1658282524 1829828992 3098688512 3316565048 3659657984 6633130096 7319315968 13266260192 14638631936 26532520384 53065040768 106130081536 212260163072 424520326144