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14023001100 = 223522313914621
BaseRepresentation
bin11010000111101011…
…00000010000001100
31100012021202021011010
431003311200100030
5212204342013400
610235253325220
71004334354063
oct150365402014
940167667133
1014023001100
115a46689309
122874336810
1314263032b4
149705831da
15571178450
hex343d6040c

14023001100 has 144 divisors (see below), whose sum is σ = 42644770560. Its totient is φ = 3550905600.

The previous prime is 14023001087. The next prime is 14023001119. The reversal of 14023001100 is 110032041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 951790 + ... + 966410.

It is an arithmetic number, because the mean of its divisors is an integer number (296144240).

Almost surely, 214023001100 is an apocalyptic number.

14023001100 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 14023001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21322385280).

14023001100 is an abundant number, since it is smaller than the sum of its proper divisors (28621769460).

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

14023001100 is a wasteful number, since it uses less digits than its factorization.

14023001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14800 (or 14793 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 14023001100 its reverse (110032041), we get a palindrome (14133033141).

The spelling of 14023001100 in words is "fourteen billion, twenty-three million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 139 150 230 276 278 300 345 417 460 556 575 690 695 834 1150 1380 1390 1668 1725 2085 2300 2780 3197 3450 3475 4170 6394 6900 6950 8340 9591 10425 12788 13900 14621 15985 19182 20850 29242 31970 38364 41700 43863 47955 58484 63940 73105 79925 87726 95910 146210 159850 175452 191820 219315 239775 292420 319700 336283 365525 438630 479550 672566 731050 877260 959100 1008849 1096575 1345132 1462100 1681415 2017698 2032319 2193150 3362830 4035396 4064638 4386300 5044245 6096957 6725660 8129276 8407075 10088490 10161595 12193914 16814150 20176980 20323190 24387828 25221225 30484785 33628300 40646380 46743337 50442450 50807975 60969570 93486674 100884900 101615950 121939140 140230011 152423925 186973348 203231900 233716685 280460022 304847850 467433370 560920044 609695700 701150055 934866740 1168583425 1402300110 2337166850 2804600220 3505750275 4674333700 7011500550 14023001100