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340010144334140 = 22572929293108509
BaseRepresentation
bin100110101001111001100011…
…1110111111000000100111100
31122120212122121120020011111212
41031103303013313320010330
5324031211233422143030
63203050300504503552
7131421631225130030
oct11523630767700474
91576778546204455
10340010144334140
1199379546480a15
12321742b147abb8
1311794a85553a57
145dd68162c61c0
15294969de49595
hex1353cc7df813c

340010144334140 has 144 divisors (see below), whose sum is σ = 846043415380800. Its totient is φ = 112433888845824.

The previous prime is 340010144334137. The next prime is 340010144334181. The reversal of 340010144334140 is 41433441010043.

It is a junction number, because it is equal to n+sod(n) for n = 340010144334097 and 340010144334106.

It is a congruent number.

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, 107826206 + ... + 110934714.

It is an arithmetic number, because the mean of its divisors is an integer number (5875301495700).

Almost surely, 2340010144334140 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 340010144334140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423021707690400).

340010144334140 is an abundant number, since it is smaller than the sum of its proper divisors (506033271046660).

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

340010144334140 is a wasteful number, since it uses less digits than its factorization.

340010144334140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109512 (or 3109481 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 340010144334140 its reverse (41433441010043), we get a palindrome (381443585344183).

The spelling of 340010144334140 in words is "three hundred forty trillion, ten billion, one hundred forty-four million, three hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 841 929 1015 1682 1858 2030 3364 3716 4060 4205 4645 5887 6503 8410 9290 11774 13006 16820 18580 23548 26012 26941 29435 32515 53882 58870 65030 107764 117740 130060 134705 188587 269410 377174 538820 754348 781289 942935 1562578 1885870 3108509 3125156 3771740 3906445 5469023 6217018 7812890 10938046 12434036 15542545 15625780 21759563 21876092 27345115 31085090 43519126 54690230 62170180 87038252 90146761 108797815 109380460 180293522 217595630 360587044 435191260 450733805 631027327 901467610 1262054654 1802935220 2524109308 2614256069 2887804861 3155136635 5228512138 5775609722 6310273270 10457024276 11551219444 12620546540 13071280345 14439024305 18299792483 20214634027 26142560690 28878048610 36599584966 40429268054 52285121380 57756097220 73199169932 80858536108 83746340969 91498962415 101073170135 167492681938 182997924830 202146340270 334985363876 365995849660 404292680540 418731704845 586224386783 837463409690 1172448773566 1674926819380 2344897547132 2428643888101 2931121933915 4857287776202 5862243867830 9714575552404 11724487735660 12143219440505 17000507216707 24286438881010 34001014433414 48572877762020 68002028866828 85002536083535 170005072167070 340010144334140