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14033131111120 = 24511151154368443
BaseRepresentation
bin1100110000110101011111…
…0010111000001011010000
31211200112222000221210010011
43030031113302320023100
53314404323031023440
645502421553444304
72645601033221212
oct314152762701320
954615860853104
1014033131111120
11452046573a860
1216a786b270694
137aa41ac17a04
143672c868c5b2
151950798689ea
hexcc357cb82d0

14033131111120 has 160 divisors (see below), whose sum is σ = 35852583573504. Its totient is φ = 5065803072000.

The previous prime is 14033131111073. The next prime is 14033131111247. The reversal of 14033131111120 is 2111113133041.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 14033131111091 and 14033131111100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204999619 + ... + 205068061.

Almost surely, 214033131111120 is an apocalyptic number.

14033131111120 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 14033131111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17926291786752).

14033131111120 is an abundant number, since it is smaller than the sum of its proper divisors (21819452462384).

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

14033131111120 is a wasteful number, since it uses less digits than its factorization.

14033131111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70161 (or 70155 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 14033131111120 its reverse (2111113133041), we get a palindrome (16144244244161).

The spelling of 14033131111120 in words is "fourteen trillion, thirty-three billion, one hundred thirty-one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 151 176 220 302 440 604 755 880 1208 1510 1543 1661 2416 3020 3086 3322 6040 6172 6644 7715 8305 12080 12344 13288 15430 16610 16973 24688 26576 30860 33220 33946 61720 66440 67892 68443 84865 123440 132880 135784 136886 169730 232993 271568 273772 339460 342215 465986 547544 678920 684430 752873 931972 1095088 1164965 1357840 1368860 1505746 1863944 2329930 2562923 2737720 3011492 3727888 3764365 4659860 5125846 5475440 6022984 7528730 9319720 10251692 10334893 12045968 12814615 15057460 18639440 20503384 20669786 25629230 30114920 41006768 41339572 51258460 51674465 60229840 82679144 102516920 103348930 105607549 113683823 165358288 205033840 206697860 211215098 227367646 413395720 422430196 454735292 528037745 568419115 826791440 844860392 909470584 1056075490 1136838230 1161683039 1689720784 1818941168 2112150980 2273676460 2323366078 4224301960 4547352920 4646732156 5808415195 8448603920 9094705840 9293464312 11616830390 15946739899 18586928624 23233660780 31893479798 46467321560 63786959596 79733699495 92934643120 127573919192 159467398990 175414138889 255147838384 318934797980 350828277778 637869595960 701656555556 877070694445 1275739191920 1403313111112 1754141388890 2806626222224 3508282777780 7016565555560 14033131111120