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440712440131240 = 235414353117914479
BaseRepresentation
bin110010000110100110101110…
…0011100010010111010101000
32010210102200211200222200002201
41210031031130130102322220
5430231113034133144430
64201152255555505544
7161554265052133654
oct14415153434227250
92123380750880081
10440712440131240
11118474107117062
12415190345b82b4
1315bbb00a669a44
147ab884b295a64
1535e3e1e1128ca
hex190d35c712ea8

440712440131240 has 128 divisors (see below), whose sum is σ = 1059022960934400. Its totient is φ = 164816140769280.

The previous prime is 440712440131217. The next prime is 440712440131253. The reversal of 440712440131240 is 42131044217044.

It is a self number, because there is not a number n which added to its sum of digits gives 440712440131240.

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 31 ways as a sum of consecutive naturals, for example, 55219680 + ... + 62694799.

It is an arithmetic number, because the mean of its divisors is an integer number (8273616882300).

Almost surely, 2440712440131240 is an apocalyptic number.

440712440131240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440712440131240 is an abundant number, since it is smaller than the sum of its proper divisors (618310520803160).

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

440712440131240 is a wasteful number, since it uses less digits than its factorization.

440712440131240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117914627 (or 117914623 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 37.

Adding to 440712440131240 its reverse (42131044217044), we get a palindrome (482843484348284).

The spelling of 440712440131240 in words is "four hundred forty trillion, seven hundred twelve billion, four hundred forty million, one hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 43 53 82 86 106 164 172 205 212 215 265 328 344 410 424 430 530 820 860 1060 1640 1720 1763 2120 2173 2279 3526 4346 4558 7052 8692 8815 9116 10865 11395 14104 17384 17630 18232 21730 22790 35260 43460 45580 70520 86920 91160 93439 186878 373756 467195 747512 934390 1868780 3737560 117914479 235828958 471657916 589572395 943315832 1179144790 2358289580 4716579160 4834493639 5070322597 6249467387 9668987278 10140645194 12498934774 19337974556 20281290388 24172468195 24997869548 25351612985 31247336935 38675949112 40562580776 48344936390 49995739096 50703225970 62494673870 96689872780 101406451940 124989347740 193379745560 202812903880 207883226477 249978695480 256228162867 268727097641 415766452954 512456325734 537454195282 831532905908 1024912651468 1039416132385 1074908390564 1281140814335 1343635488205 1663065811816 2049825302936 2078832264770 2149816781128 2562281628670 2687270976410 4157664529540 5124563257340 5374541952820 8315329059080 10249126514680 10749083905640 11017811003281 22035622006562 44071244013124 55089055016405 88142488026248 110178110032810 220356220065620 440712440131240