Search a number
-
+
14858864460 = 223251110372859
BaseRepresentation
bin11011101011010100…
…00100011101001100
31102100112120112010100
431311222010131030
5220412332130320
610454233011100
71034134156356
oct156552043514
942315515110
1014858864460
116335494880
122a68253a90
13152a531bbb
14a0d5a60d6
155be736790
hex375a8474c

14858864460 has 144 divisors (see below), whose sum is σ = 49647386880. Its totient is φ = 3567127680.

The previous prime is 14858864453. The next prime is 14858864509. The reversal of 14858864460 is 6446885841.

It is a happy number.

14858864460 is a `hidden beast` number, since 1 + 48 + 5 + 88 + 64 + 460 = 666.

14858864460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×148588644603 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14858864397 and 14858864406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167511 + ... + 240369.

It is an arithmetic number, because the mean of its divisors is an integer number (344773520).

Almost surely, 214858864460 is an apocalyptic number.

14858864460 is a gapful number since it is divisible by the number (10) 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 14858864460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24823693440).

14858864460 is an abundant number, since it is smaller than the sum of its proper divisors (34788522420).

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

14858864460 is a wasteful number, since it uses less digits than its factorization.

14858864460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72988 (or 72983 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 14858864460 in words is "fourteen billion, eight hundred fifty-eight million, eight hundred sixty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 103 110 132 165 180 198 206 220 309 330 396 412 495 515 618 660 927 990 1030 1133 1236 1545 1854 1980 2060 2266 3090 3399 3708 4532 4635 5665 6180 6798 9270 10197 11330 13596 16995 18540 20394 22660 33990 40788 50985 67980 72859 101970 145718 203940 218577 291436 364295 437154 655731 728590 801449 874308 1092885 1311462 1457180 1602898 2185770 2404347 2622924 3205796 3278655 4007245 4371540 4808694 6557310 7213041 7504477 8014490 9617388 12021735 13114620 14426082 15008954 16028980 22513431 24043470 28852164 30017908 36065205 37522385 45026862 48086940 67540293 72130410 75044770 82549247 90053724 112567155 135080586 144260820 150089540 165098494 225134310 247647741 270161172 330196988 337701465 412746235 450268620 495295482 675402930 742943223 825492470 990590964 1238238705 1350805860 1485886446 1650984940 2476477410 2971772892 3714716115 4952954820 7429432230 14858864460