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110042344144040 = 235711124572868109
BaseRepresentation
bin11001000001010100111010…
…110101010011110010101000
3112102121221112011112011201012
4121001110322311103302220
5103410413210100102130
61030012431025443052
732115203605016540
oct3101247265236250
9472557464464635
10110042344144040
1132076772520360
1210412b3a4a0488
134952c43bb39a9
141d2611398c320
15cac6c1dda995
hex64153ad53ca8

110042344144040 has 128 divisors (see below), whose sum is σ = 308715100243200. Its totient is φ = 34296147118080.

The previous prime is 110042344144027. The next prime is 110042344144093. The reversal of 110042344144040 is 40441443240011.

It is a junction number, because it is equal to n+sod(n) for n = 110042344143988 and 110042344144006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36933506 + ... + 39801614.

It is an arithmetic number, because the mean of its divisors is an integer number (2411836720650).

Almost surely, 2110042344144040 is an apocalyptic number.

110042344144040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110042344144040 is an abundant number, since it is smaller than the sum of its proper divisors (198672756099160).

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

110042344144040 is a wasteful number, since it uses less digits than its factorization.

110042344144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880595 (or 2880591 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 110042344144040 its reverse (40441443240011), we get a palindrome (150483787384051).

The spelling of 110042344144040 in words is "one hundred ten trillion, forty-two billion, three hundred forty-four million, one hundred forty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 12457 24914 49828 62285 87199 99656 124570 137027 174398 249140 274054 348796 435995 498280 548108 685135 697592 871990 959189 1096216 1370270 1743980 1918378 2740540 2868109 3487960 3836756 4795945 5481080 5736218 7673512 9591890 11472436 14340545 19183780 20076763 22944872 28681090 31549199 38367560 40153526 57362180 63098398 80307052 100383815 114724360 126196796 157745995 160614104 200767630 220844393 252393592 315491990 401535260 441688786 630983980 803070520 883377572 1104221965 1261967960 1766755144 2208443930 4416887860 8833775720 35728033813 71456067626 142912135252 178640169065 250096236691 285824270504 357280338130 393008371943 500192473382 714560676260 786016743886 1000384946764 1250481183455 1429121352520 1572033487772 1965041859715 2000769893528 2500962366910 2751058603601 3144066975544 3930083719430 5001924733820 5502117207202 7860167438860 10003849467640 11004234414404 13755293018005 15720334877720 22008468828808 27510586036010 55021172072020 110042344144040