Search a number
-
+
14242882248 = 233277325303
BaseRepresentation
bin11010100001111000…
…10010001011001000
31100202121111101101100
431100330102023020
5213132134212443
610313150221400
71012644334020
oct152074221310
940677441340
1014242882248
116049810271
122915ab4860
13145ca2b89a
1499185ca80
1558560d3d3
hex350f122c8

14242882248 has 144 divisors (see below), whose sum is σ = 44705718720. Its totient is φ = 4012892928.

The previous prime is 14242882219. The next prime is 14242882261. The reversal of 14242882248 is 84228824241.

14242882248 is a `hidden beast` number, since 142 + 4 + 288 + 224 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2683165 + ... + 2688467.

It is an arithmetic number, because the mean of its divisors is an integer number (310456380).

Almost surely, 214242882248 is an apocalyptic number.

14242882248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14242882248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22352859360).

14242882248 is an abundant number, since it is smaller than the sum of its proper divisors (30462836472).

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

14242882248 is a wasteful number, since it uses less digits than its factorization.

14242882248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5468 (or 5388 counting only the distinct ones).

The product of its digits is 524288, while the sum is 45.

It can be divided in two parts, 142428 and 82248, that added together give a square (224676 = 4742).

The spelling of 14242882248 in words is "fourteen billion, two hundred forty-two million, eight hundred eighty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 73 84 126 146 168 219 252 292 438 504 511 584 657 876 1022 1314 1533 1752 2044 2628 3066 4088 4599 5256 5303 5329 6132 9198 10606 10658 12264 15909 15987 18396 21212 21316 31818 31974 36792 37121 37303 42424 42632 47727 47961 63636 63948 74242 74606 95454 95922 111363 111909 127272 127896 148484 149212 190908 191844 222726 223818 296968 298424 334089 335727 381816 383688 387119 445452 447636 668178 671454 774238 890904 895272 1161357 1336356 1342908 1548476 2322714 2672712 2685816 2709833 3096952 3484071 4645428 5419666 6968142 8129499 9290856 10839332 13936284 16258998 21678664 24388497 27872568 28259687 32517996 48776994 56519374 65035992 84779061 97553988 113038748 169558122 195107976 197817809 226077496 254337183 339116244 395635618 508674366 593453427 678232488 791271236 1017348732 1186906854 1582542472 1780360281 2034697464 2373813708 3560720562 4747627416 7121441124 14242882248