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42385043120 = 2457210812511
BaseRepresentation
bin100111011110010110…
…000110111010110000
311001101212221021120212
4213132112012322300
51143301032334440
631245454323252
73030224631200
oct473626067260
9131355837525
1042385043120
1116a80285262
12826a7b9528
133cc6232394
1420a1256400
1511810a6465
hex9de586eb0

42385043120 has 60 divisors (see below), whose sum is σ = 114634252224. Its totient is φ = 14532013440.

The previous prime is 42385043089. The next prime is 42385043131. The reversal of 42385043120 is 2134058324.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5402336 + ... + 5410175.

Almost surely, 242385043120 is an apocalyptic number.

42385043120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42385043120 is an abundant number, since it is smaller than the sum of its proper divisors (72249209104).

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

42385043120 is a wasteful number, since it uses less digits than its factorization.

42385043120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10812538 (or 10812525 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 42385043120 in words is "forty-two billion, three hundred eighty-five million, forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 10812511 21625022 43250044 54062555 75687577 86500088 108125110 151375154 173000176 216250220 302750308 378437885 432500440 529813039 605500616 756875770 865000880 1059626078 1211001232 1513751540 2119252156 2649065195 3027503080 4238504312 5298130390 6055006160 8477008624 10596260780 21192521560 42385043120