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442024404440 = 23568322077331
BaseRepresentation
bin1100110111010101011…
…01010010010111011000
31120020221102220022022112
412123222231102113120
524220231221420230
6535021353011452
743635530305403
oct6335255222730
91506842808275
10442024404440
11160509286463
12718010b3b88
13328b4c31048
141757357cd3a
15b770eb3d95
hex66eab525d8

442024404440 has 64 divisors (see below), whose sum is σ = 996598287360. Its totient is φ = 176446821760.

The previous prime is 442024404439. The next prime is 442024404443. The reversal of 442024404440 is 44404420244.

It is a junction number, because it is equal to n+sod(n) for n = 442024404397 and 442024404406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442024404443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60291575 + ... + 60298905.

It is an arithmetic number, because the mean of its divisors is an integer number (15571848240).

Almost surely, 2442024404440 is an apocalyptic number.

442024404440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442024404440 is an abundant number, since it is smaller than the sum of its proper divisors (554573882920).

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

442024404440 is a wasteful number, since it uses less digits than its factorization.

442024404440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10232 (or 10228 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 442024404440 its reverse (44404420244), we get a palindrome (486428824684).

The spelling of 442024404440 in words is "four hundred forty-two billion, twenty-four million, four hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 683 1366 2207 2732 3415 4414 5464 6830 7331 8828 11035 13660 14662 17656 22070 27320 29324 36655 44140 58648 73310 88280 146620 293240 1507381 3014762 5007073 6029524 7536905 10014146 12059048 15073810 16179517 20028292 25035365 30147620 32359034 40056584 50070730 60295240 64718068 80897585 100141460 129436136 161795170 200282920 323590340 647180680 11050610111 22101220222 44202440444 55253050555 88404880888 110506101110 221012202220 442024404440