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441258142042060 = 2257331266933761
BaseRepresentation
bin110010001010100100110101…
…0110011111000011111001100
32010212100212101121102000000221
41210111021222303320133030
5430314033133330321220
64202251105245401124
7161641564052632000
oct14425115263703714
92125325347360027
10441258142042060
11118664588674592
12415a694ab691a4
1315c2a605c569a5
147ad701805c700
15360320c0d29aa
hex191526acf87cc

441258142042060 has 144 divisors (see below), whose sum is σ = 1116615791188800. Its totient is φ = 146408229273600.

The previous prime is 441258142042049. The next prime is 441258142042073. The reversal of 441258142042060 is 60240241852144.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 441258142041998 and 441258142042016.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26874421 + ... + 40059340.

It is an arithmetic number, because the mean of its divisors is an integer number (7754276327700).

Almost surely, 2441258142042060 is an apocalyptic number.

It is an amenable number.

441258142042060 is an abundant number, since it is smaller than the sum of its proper divisors (675357649146740).

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

441258142042060 is a wasteful number, since it uses less digits than its factorization.

441258142042060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66933853 (or 66933806 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 43.

The spelling of 441258142042060 in words is "four hundred forty-one trillion, two hundred fifty-eight billion, one hundred forty-two million, forty-two thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 124 140 155 196 217 245 310 343 434 490 620 686 868 961 980 1085 1372 1519 1715 1922 2170 3038 3430 3844 4340 4805 6076 6727 6860 7595 9610 10633 13454 15190 19220 21266 26908 30380 33635 42532 47089 53165 67270 94178 106330 134540 188356 212660 235445 329623 470890 659246 941780 1318492 1648115 3296230 6592460 66933761 133867522 267735044 334668805 468536327 669337610 937072654 1338675220 1874145308 2074946591 2342681635 3279754289 4149893182 4685363270 6559508578 8299786364 9370726540 10374732955 13119017156 14524626137 16398771445 20749465910 22958280023 29049252274 32797542890 41498931820 45916560046 58098504548 64323344321 65595085780 72623130685 91833120092 101672382959 114791400115 128646688642 145246261370 203344765918 229582800230 257293377284 290492522740 321616721605 406689531836 450263410247 459165600460 508361914795 643233443210 711706680713 900526820494 1016723829590 1286466886420 1423413361426 1801053640988 2033447659180 2251317051235 2846826722852 3151843871729 3558533403565 4502634102470 6303687743458 7117066807130 9005268204940 12607375486916 14234133614260 15759219358645 22062907102103 31518438717290 44125814204206 63036877434580 88251628408412 110314535510515 220629071021030 441258142042060