Search a number
-
+
14132666160 = 24355726989
BaseRepresentation
bin11010010100101111…
…10101111100110000
31100110221002211100000
431022113311330300
5212420430304120
610254212030000
71010135452224
oct151227657460
940427084300
1014132666160
115aa2581298
1228a5002300
131442c4c072
14980d6c784
1557aadb990
hex34a5f5f30

14132666160 has 120 divisors (see below), whose sum is σ = 49220130960. Its totient is φ = 3768705792.

The previous prime is 14132666159. The next prime is 14132666173. The reversal of 14132666160 is 6166623141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 344055 + ... + 382934.

It is an arithmetic number, because the mean of its divisors is an integer number (410167758).

Almost surely, 214132666160 is an apocalyptic number.

14132666160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14132666160 is an abundant number, since it is smaller than the sum of its proper divisors (35087464800).

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

14132666160 is an equidigital number, since it uses as much as digits as its factorization.

14132666160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727017 (or 726999 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 14132666160 in words is "fourteen billion, one hundred thirty-two million, six hundred sixty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 726989 1453978 2180967 2907956 3634945 4361934 5815912 6542901 7269890 8723868 10904835 11631824 13085802 14539780 17447736 19628703 21809670 26171604 29079560 32714505 34895472 39257406 43619340 52343208 58159120 58886109 65429010 78514812 87238680 98143515 104686416 117772218 130858020 157029624 174477360 176658327 196287030 235544436 261716040 294430545 314059248 353316654 392574060 471088872 523432080 588861090 706633308 785148120 883291635 942177744 1177722180 1413266616 1570296240 1766583270 2355444360 2826533232 3533166540 4710888720 7066333080 14132666160