Search a number
-
+
14231778540 = 22357223210467
BaseRepresentation
bin11010100000100011…
…11011010011101100
31100201211121020221220
431100101323103230
5213121313403130
610312112223340
71012451056500
oct152021732354
940654536856
1014231778540
116043516951
12291223ab50
13145a641845
149901ac300
15584668410
hex35047b4ec

14231778540 has 144 divisors (see below), whose sum is σ = 48370597632. Its totient is φ = 3111529344.

The previous prime is 14231778527. The next prime is 14231778571. The reversal of 14231778540 is 4587713241.

14231778540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 14231778492 and 14231778501.

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, 37614 + ... + 172853.

It is an arithmetic number, because the mean of its divisors is an integer number (335906928).

Almost surely, 214231778540 is an apocalyptic number.

14231778540 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 14231778540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24185298816).

14231778540 is an abundant number, since it is smaller than the sum of its proper divisors (34138819092).

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

14231778540 is a wasteful number, since it uses less digits than its factorization.

14231778540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210516 (or 210507 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 14231778540 in words is "fourteen billion, two hundred thirty-one million, seven hundred seventy-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 49 60 69 70 84 92 98 105 115 138 140 147 161 196 210 230 245 276 294 322 345 420 460 483 490 588 644 690 735 805 966 980 1127 1380 1470 1610 1932 2254 2415 2940 3220 3381 4508 4830 5635 6762 9660 11270 13524 16905 22540 33810 67620 210467 420934 631401 841868 1052335 1262802 1473269 2104670 2525604 2946538 3157005 4209340 4419807 4840741 5893076 6314010 7366345 8839614 9681482 10312883 12628020 14522223 14732690 17679228 19362964 20625766 22099035 24203705 29044446 29465380 30938649 33885187 41251532 44198070 48407410 51564415 58088892 61877298 67770374 72611115 88396140 96814820 101655561 103128830 123754596 135540748 145222230 154693245 169425935 203311122 206257660 237196309 290444460 309386490 338851870 406622244 474392618 508277805 618772980 677703740 711588927 948785236 1016555610 1185981545 1423177854 2033111220 2371963090 2846355708 3557944635 4743926180 7115889270 14231778540