Search a number
-
+
14354041320 = 2333513290779
BaseRepresentation
bin11010101111001000…
…10100100111101000
31101001100122211222000
431113210110213220
5213344113310240
610332200531000
71015464223653
oct152744244750
941040584860
1014354041320
1160a6533773
122947180a60
131479a7b698
149a251689a
15590269430
hex3579149e8

14354041320 has 64 divisors (see below), whose sum is σ = 47846808000. Its totient is φ = 3827744064.

The previous prime is 14354041313. The next prime is 14354041343. The reversal of 14354041320 is 2314045341.

It is a happy number.

14354041320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 6644310 + ... + 6646469.

It is an arithmetic number, because the mean of its divisors is an integer number (747606375).

Almost surely, 214354041320 is an apocalyptic number.

14354041320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14354041320 is an abundant number, since it is smaller than the sum of its proper divisors (33492766680).

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

14354041320 is a wasteful number, since it uses less digits than its factorization.

14354041320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13290799 (or 13290789 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 14354041320 its reverse (2314045341), we get a palindrome (16668086661).

The spelling of 14354041320 in words is "fourteen billion, three hundred fifty-four million, forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 13290779 26581558 39872337 53163116 66453895 79744674 106326232 119617011 132907790 159489348 199361685 239234022 265815580 318978696 358851033 398723370 478468044 531631160 598085055 717702066 797446740 956936088 1196170110 1435404132 1594893480 1794255165 2392340220 2870808264 3588510330 4784680440 7177020660 14354041320