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14411231120 = 24511132814483
BaseRepresentation
bin11010110101111100…
…11110111110010000
31101012100021101121202
431122332132332100
5214003233343440
610342002410332
71020060305036
oct153276367620
941170241552
1014411231120
116125845270
1229623609a8
1314888834c0
149a9d62556
155952b4615
hex35af9ef90

14411231120 has 160 divisors (see below), whose sum is σ = 39512721024. Its totient is φ = 4819046400.

The previous prime is 14411231119. The next prime is 14411231129. The reversal of 14411231120 is 2113211441.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14411231092 and 14411231101.

It is not an unprimeable number, because it can be changed into a prime (14411231129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3212399 + ... + 3216881.

Almost surely, 214411231120 is an apocalyptic number.

14411231120 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 14411231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19756360512).

14411231120 is an abundant number, since it is smaller than the sum of its proper divisors (25101489904).

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

14411231120 is a wasteful number, since it uses less digits than its factorization.

14411231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4801 (or 4795 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 14411231120 its reverse (2113211441), we get a palindrome (16524442561).

The spelling of 14411231120 in words is "fourteen billion, four hundred eleven million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 281 286 440 520 562 572 715 880 1040 1124 1144 1405 1430 2248 2288 2810 2860 3091 3653 4483 4496 5620 5720 6182 7306 8966 11240 11440 12364 14612 15455 17932 18265 22415 22480 24728 29224 30910 35864 36530 40183 44830 49313 49456 58279 58448 61820 71728 73060 80366 89660 98626 116558 123640 146120 160732 179320 197252 200915 233116 246565 247280 291395 292240 321464 358640 394504 401830 466232 493130 582790 641069 642928 789008 803660 932464 986260 1165580 1259723 1282138 1607320 1972520 2331160 2519446 2564276 3205345 3214640 3945040 4662320 5038892 5128552 6298615 6410690 10077784 10257104 12597230 12821380 13856953 16376399 20155568 25194460 25642760 27713906 32752798 50388920 51285520 55427812 65505596 69284765 81881995 100777840 110855624 131011192 138569530 163763990 180140389 221711248 262022384 277139060 327527980 360280778 554278120 655055960 720561556 900701945 1108556240 1310111920 1441123112 1801403890 2882246224 3602807780 7205615560 14411231120