Search a number
-
+
114242530102140 = 223511223684168943
BaseRepresentation
bin11001111110011100101001…
…011011001100101101111100
3112222111110221100102012200210
4121332130221123030231330
5104433222200201232030
61042550143243352420
733030515252421606
oct3176345133145574
9488443840365623
10114242530102140
1133445a91a45200
1210990b74222710
134b990416aa36b
14202d521978176
15d31a9c7edbb0
hex67e7296ccb7c

114242530102140 has 144 divisors (see below), whose sum is σ = 366889701233664. Its totient is φ = 26491021434240.

The previous prime is 114242530102081. The next prime is 114242530102153. The reversal of 114242530102140 is 41201035242411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114242530102098 and 114242530102107.

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, 341917492 + ... + 342251451.

It is an arithmetic number, because the mean of its divisors is an integer number (2547845147456).

Almost surely, 2114242530102140 is an apocalyptic number.

114242530102140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114242530102140 is an abundant number, since it is smaller than the sum of its proper divisors (252647171131524).

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

114242530102140 is a wasteful number, since it uses less digits than its factorization.

114242530102140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684169000 (or 684168987 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 114242530102140 its reverse (41201035242411), we get a palindrome (155443565344551).

The spelling of 114242530102140 in words is "one hundred fourteen trillion, two hundred forty-two billion, five hundred thirty million, one hundred two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 121 132 138 165 220 230 242 253 276 330 345 363 460 484 506 605 660 690 726 759 1012 1210 1265 1380 1452 1518 1815 2420 2530 2783 3036 3630 3795 5060 5566 7260 7590 8349 11132 13915 15180 16698 27830 33396 41745 55660 83490 166980 684168943 1368337886 2052506829 2736675772 3420844715 4105013658 6841689430 7525858373 8210027316 10262534145 13683378860 15051716746 15735885689 20525068290 22577575119 30103433492 31471771378 37629291865 41050136580 45155150238 47207657067 62943542756 75258583730 78679428445 82784442103 90310300476 94415314134 112887875595 150517167460 157358856890 165568884206 173094742579 188830628268 225775751190 236038285335 248353326309 314717713780 331137768412 346189485158 413922210515 451551502380 472076570670 496706652618 519284227737 692378970316 827844421030 865473712895 944153141340 993413305236 1038568455474 1241766631545 1655688842060 1730947425790 1904042168369 2077136910948 2483533263090 2596421138685 3461894851580 3808084336738 4967066526180 5192842277370 5712126505107 7616168673476 9520210841845 10385684554740 11424253010214 19040421683690 22848506020428 28560632525535 38080843367380 57121265051070 114242530102140