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14313245000 = 235423711753
BaseRepresentation
bin11010101010010001…
…01100100101001000
31100221111220011221012
431111020230211020
5213303142320000
610324142303052
71014460401155
oct152510544510
940844804835
1014313245000
1160854a98aa
122935587a88
131471496552
1499ad3722c
1558b8ab735
hex35522c948

14313245000 has 160 divisors (see below), whose sum is σ = 35507134080. Its totient is φ = 5396160000.

The previous prime is 14313244993. The next prime is 14313245029. The reversal of 14313245000 is 54231341.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8164124 + ... + 8165876.

It is an arithmetic number, because the mean of its divisors is an integer number (221919588).

Almost surely, 214313245000 is an apocalyptic number.

14313245000 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 14313245000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17753567040).

14313245000 is an abundant number, since it is smaller than the sum of its proper divisors (21193889080).

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

14313245000 is a wasteful number, since it uses less digits than its factorization.

14313245000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 14313245000 its reverse (54231341), we get a palindrome (14367476341).

The spelling of 14313245000 in words is "fourteen billion, three hundred thirteen million, two hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 71 92 100 115 125 142 184 200 230 250 284 355 460 500 568 575 625 710 920 1000 1150 1250 1420 1633 1753 1775 2300 2500 2840 2875 3266 3506 3550 4600 5000 5750 6532 7012 7100 8165 8765 8875 11500 13064 14024 14200 14375 16330 17530 17750 23000 28750 32660 35060 35500 40319 40825 43825 44375 57500 65320 70120 71000 80638 81650 87650 88750 115000 124463 161276 163300 175300 177500 201595 204125 219125 248926 322552 326600 350600 355000 403190 408250 438250 497852 622315 806380 816500 876500 995704 1007975 1020625 1095625 1244630 1612760 1633000 1753000 2015950 2041250 2191250 2489260 2862649 3111575 4031900 4082500 4382500 4978520 5039875 5725298 6223150 8063800 8165000 8765000 10079750 11450596 12446300 14313245 15557875 20159500 22901192 24892600 25199375 28626490 31115750 40319000 50398750 57252980 62231500 71566225 77789375 100797500 114505960 124463000 143132450 155578750 201595000 286264900 311157500 357831125 572529800 622315000 715662250 1431324500 1789155625 2862649000 3578311250 7156622500 14313245000