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501316445234040 = 2335127264712427193
BaseRepresentation
bin111000111111100011101010…
…0101000110110001101111000
32102202000101101000112112201220
41301333013110220312031320
51011202032034434442130
64534113332351512040
7210410626565006112
oct16177072450661570
92382011330475656
10501316445234040
1113580a124050777
124828659b228620
1318695c26862937
148bb1bb9b543b2
153ce55d0465410
hex1c7f1d4a36378

501316445234040 has 128 divisors (see below), whose sum is σ = 1516364223528960. Its totient is φ = 132581635329024.

The previous prime is 501316445233999. The next prime is 501316445234053. The reversal of 501316445234040 is 40432544613105.

It is a junction number, because it is equal to n+sod(n) for n = 501316445233983 and 501316445234001.

It is a congruent number.

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, 34126684 + ... + 46553876.

It is an arithmetic number, because the mean of its divisors is an integer number (11846595496320).

Almost surely, 2501316445234040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501316445234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758182111764480).

501316445234040 is an abundant number, since it is smaller than the sum of its proper divisors (1015047778294920).

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

501316445234040 is a wasteful number, since it uses less digits than its factorization.

501316445234040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12429981 (or 12429977 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

Adding to 501316445234040 its reverse (40432544613105), we get a palindrome (541748989847145).

The spelling of 501316445234040 in words is "five hundred one trillion, three hundred sixteen billion, four hundred forty-five million, two hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2540 2647 3048 3810 5080 5294 7620 7941 10588 13235 15240 15882 21176 26470 31764 39705 52940 63528 79410 105880 158820 317640 336169 672338 1008507 1344676 1680845 2017014 2689352 3361690 4034028 5042535 6723380 8068056 10085070 12427193 13446760 20170140 24854386 37281579 40340280 49708772 62135965 74563158 99417544 124271930 149126316 186407895 248543860 298252632 372815790 497087720 745631580 1491263160 1578253511 3156507022 4734760533 6313014044 7891267555 9469521066 12626028088 15782535110 18939042132 23673802665 31565070220 32894779871 37878084264 47347605330 63130140440 65789559742 94695210660 98684339613 131579119484 164473899355 189390421320 197368679226 263158238968 328947798710 394737358452 493421698065 657895597420 789474716904 986843396130 1315791194840 1973686792260 3947373584520 4177637043617 8355274087234 12532911130851 16710548174468 20888185218085 25065822261702 33421096348936 41776370436170 50131644523404 62664555654255 83552740872340 100263289046808 125329111308510 167105481744680 250658222617020 501316445234040