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442440341410140 = 223255997081429137
BaseRepresentation
bin110010010011001011010101…
…1011000100101000101011100
32011000112212212010002022120200
41210212112223120211011130
5430442420304400111030
64204554141544543500
7162123155053515663
oct14446265330450534
92130485763068520
10442440341410140
11118a7a99336a427
1241757a9b181b90
1315cb4c397068a8
147b38326415dda
153623d4e196d60
hex19265ab62515c

442440341410140 has 144 divisors (see below), whose sum is σ = 1364833207352160. Its totient is φ = 115982895697920.

The previous prime is 442440341410117. The next prime is 442440341410201. The reversal of 442440341410140 is 41014143044244.

442440341410140 is a `hidden beast` number, since 4 + 4 + 2 + 440 + 34 + 1 + 41 + 0 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 442440341410095 and 442440341410104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1030785652 + ... + 1031214788.

It is an arithmetic number, because the mean of its divisors is an integer number (9478008384390).

Almost surely, 2442440341410140 is an apocalyptic number.

It is an amenable number.

442440341410140 is an abundant number, since it is smaller than the sum of its proper divisors (922392865942020).

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

442440341410140 is a wasteful number, since it uses less digits than its factorization.

442440341410140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526292 (or 526287 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 442440341410140 its reverse (41014143044244), we get a palindrome (483454484454384).

The spelling of 442440341410140 in words is "four hundred forty-two trillion, four hundred forty billion, three hundred forty-one million, four hundred ten thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2655 3540 5310 10620 97081 194162 291243 388324 429137 485405 582486 858274 873729 970810 1164972 1287411 1456215 1716548 1747458 1941620 2145685 2574822 2912430 3494916 3862233 4291370 4368645 5149644 5727779 5824860 6437055 7724466 8582740 8737290 11455558 12874110 15448932 17183337 17474580 19311165 22911116 25319083 25748220 28638895 34366674 38622330 50638166 51550011 57277790 68733348 75957249 77244660 85916685 101276332 103100022 114555580 126595415 151914498 171833370 206200044 227871747 253190830 257750055 303828996 343666740 379786245 455743494 506381660 515500110 759572490 911486988 1031000220 1139358735 1519144980 2278717470 4557434940 41661049097 83322098194 124983147291 166644196388 208305245485 249966294582 374949441873 416610490970 499932589164 624915736455 749898883746 833220981940 1249831472910 1499797767492 1874747209365 2458001896723 2499662945820 3749494418730 4916003793446 7374005690169 7498988837460 9832007586892 12290009483615 14748011380338 22122017070507 24580018967230 29496022760676 36870028450845 44244034141014 49160037934460 73740056901690 88488068282028 110610085352535 147480113803380 221220170705070 442440341410140