Search a number
-
+
14214818277 = 33112172111213
BaseRepresentation
bin11010011110100010…
…01110100111100101
31100200122200120212000
431033101032213211
5213102443141102
610310304515513
71012153650612
oct151721164745
940618616760
1014214818277
116034992400
12290861bb99
131456c83b9a
1498bc35509
15582e1801c
hex34f44e9e5

14214818277 has 96 divisors (see below), whose sum is σ = 24645559680. Its totient is φ = 8063193600.

The previous prime is 14214818269. The next prime is 14214818287. The reversal of 14214818277 is 77281841241.

14214818277 is a `hidden beast` number, since 1 + 4 + 21 + 481 + 82 + 77 = 666.

It is not a de Polignac number, because 14214818277 - 23 = 14214818269 is a prime.

It is a super-2 number, since 2×142148182772 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14214818207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11718123 + ... + 11719335.

It is an arithmetic number, because the mean of its divisors is an integer number (256724580).

Almost surely, 214214818277 is an apocalyptic number.

14214818277 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

14214818277 is a deficient number, since it is larger than the sum of its proper divisors (10430741403).

14214818277 is a wasteful number, since it uses less digits than its factorization.

14214818277 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1455 counting only the distinct ones).

The product of its digits is 200704, while the sum is 45.

The spelling of 14214818277 in words is "fourteen billion, two hundred fourteen million, eight hundred eighteen thousand, two hundred seventy-seven".

Divisors: 1 3 9 11 17 27 33 51 99 121 153 187 211 297 363 459 561 633 1089 1213 1683 1899 2057 2321 3267 3587 3639 5049 5697 6171 6963 10761 10917 13343 18513 20621 20889 25531 32283 32751 39457 40029 55539 61863 62667 76593 96849 118371 120087 146773 185589 226831 229779 255943 355113 360261 434027 440319 556767 680493 689337 767829 1065339 1302081 1320957 2041479 2303487 2495141 2815373 3906243 3962871 4351031 6124437 6910461 7485423 8446119 11718729 13053093 22456269 25338357 30969103 39159279 47861341 67368807 76015071 92907309 117477837 143584023 278721927 430752069 526474751 836165781 1292256207 1579424253 4738272759 14214818277