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14004132220 = 2251337472659
BaseRepresentation
bin11010000101011011…
…00001100101111100
31100010222020121220201
431002231201211330
5212140024212340
610233341053244
71004015105551
oct150255414574
940128217821
1014004132220
115a36a708a1
122869b57224
131422427990
1496bc70a28
1556e69c79a
hex342b6197c

14004132220 has 144 divisors (see below), whose sum is σ = 33284069280. Its totient is φ = 4916491776.

The previous prime is 14004132179. The next prime is 14004132221. The reversal of 14004132220 is 2223140041.

14004132220 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-2 number, since 2×140041322202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14004132221) by changing a digit.

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, 21250251 + ... + 21250909.

It is an arithmetic number, because the mean of its divisors is an integer number (231139370).

Almost surely, 214004132220 is an apocalyptic number.

14004132220 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 14004132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16642034640).

14004132220 is an abundant number, since it is smaller than the sum of its proper divisors (19279937060).

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

14004132220 is a wasteful number, since it uses less digits than its factorization.

14004132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 14004132220 its reverse (2223140041), we get a palindrome (16227272261).

The spelling of 14004132220 in words is "fourteen billion, four million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 37 47 52 65 74 94 130 148 185 188 235 260 370 470 481 611 659 740 940 962 1222 1318 1739 1924 2209 2405 2444 2636 3055 3295 3478 4418 4810 6110 6590 6956 8567 8695 8836 9620 11045 12220 13180 17134 17390 22090 22607 24383 28717 30973 34268 34780 42835 44180 45214 48766 57434 61946 81733 85670 90428 97532 113035 114868 121915 123892 143585 154865 163466 171340 226070 243830 287170 309730 316979 326932 402649 408665 452140 487660 574340 619460 633958 805298 817330 1062529 1146001 1267916 1455731 1584895 1610596 1634660 2013245 2125058 2292002 2911462 3169790 4026490 4250116 4584004 5312645 5730005 5822924 6339580 7278655 8052980 10625290 11460010 14557310 14898013 18924503 21250580 22920020 29114620 29796026 37849006 53862047 59592052 74490065 75698012 94622515 107724094 148980130 189245030 215448188 269310235 297960260 378490060 538620470 700206611 1077240940 1400413222 2800826444 3501033055 7002066110 14004132220