Search a number
-
+
314212240142244 = 2232198343487127271
BaseRepresentation
bin100011101110001100011110…
…0111101010010111110100100
31112012112101201021010212200200
41013130120330331102332210
5312141023131434022434
63032135035502110500
7123120041140445433
oct10734307475227644
91465471637125620
10314212240142244
1191132732078344
122b2a852b57b430
13106431194b0242
145783d4c83511a
15264d5ac58a199
hex11dc63cf52fa4

314212240142244 has 144 divisors (see below), whose sum is σ = 846160948039680. Its totient is φ = 98026412552640.

The previous prime is 314212240142189. The next prime is 314212240142293. The reversal of 314212240142244 is 442241042212413.

314212240142244 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 1 + 2 + 2 + 401 + 4 + 2 + 244 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 314212240142199 and 314212240142208.

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, 2468780329 + ... + 2468907599.

It is an arithmetic number, because the mean of its divisors is an integer number (5876117694720).

Almost surely, 2314212240142244 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 314212240142244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423080474019840).

314212240142244 is an abundant number, since it is smaller than the sum of its proper divisors (531948707897436).

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

314212240142244 is a wasteful number, since it uses less digits than its factorization.

314212240142244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170870 (or 170865 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 314212240142244 its reverse (442241042212413), we get a palindrome (756453282354657).

The spelling of 314212240142244 in words is "three hundred fourteen trillion, two hundred twelve billion, two hundred forty million, one hundred forty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 83 114 166 171 228 249 332 342 498 684 747 996 1494 1577 2988 3154 4731 6308 9462 14193 18924 28386 43487 56772 86974 127271 130461 173948 254542 260922 381813 391383 509084 521844 763626 782766 826253 1145439 1527252 1565532 1652506 2290878 2418149 2478759 3305012 3609421 4581756 4836298 4957518 7218842 7254447 7436277 9672596 9915036 10563493 10828263 14437684 14508894 14872554 21126986 21656526 21763341 29017788 29745108 31690479 32484789 42253972 43313052 43526682 63380958 64969578 68578999 87053364 95071437 126761916 129939156 137157998 190142874 200706367 205736997 274315996 380285748 401412734 411473994 602119101 617210991 802825468 822947988 1204238202 1234421982 1806357303 2408476404 2468843964 3612714606 5534633977 7225429212 11069267954 16603901931 22138535908 33207803862 49811705793 66415607724 99623411586 105158045563 199246823172 210316091126 315474136689 420632182252 459374620091 630948273378 918749240182 946422410067 1261896546756 1378123860273 1837498480364 1892844820134 2756247720546 3785689640268 4134371580819 5512495441092 8268743161638 8728117781729 16537486323276 17456235563458 26184353345187 34912471126916 52368706690374 78553060035561 104737413380748 157106120071122 314212240142244