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14200143012 = 223211194343891
BaseRepresentation
bin11010011100110010…
…01111110010100100
31100122122002000011200
431032121033302210
5213040214034022
610305022202500
71011615136566
oct151631176244
940578060150
1014200143012
116027679690
122903723430
131453c162b3
14989cd5336
155819b9bac
hex34e64fca4

14200143012 has 144 divisors (see below), whose sum is σ = 42178456320. Its totient is φ = 3981700800.

The previous prime is 14200143007. The next prime is 14200143017. The reversal of 14200143012 is 21034100241.

It is an interprime number because it is at equal distance from previous prime (14200143007) and next prime (14200143017).

It is a super-3 number, since 3×142001430123 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14200143017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301587 + ... + 345477.

Almost surely, 214200143012 is an apocalyptic number.

14200143012 is a gapful number since it is divisible by the number (12) 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 14200143012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21089228160).

14200143012 is an abundant number, since it is smaller than the sum of its proper divisors (27978313308).

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

14200143012 is a wasteful number, since it uses less digits than its factorization.

14200143012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43974 (or 43969 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14200143012 its reverse (21034100241), we get a palindrome (35234243253).

The spelling of 14200143012 in words is "fourteen billion, two hundred million, one hundred forty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 43 44 57 66 76 86 99 114 129 132 171 172 198 209 228 258 342 387 396 418 473 516 627 684 774 817 836 946 1254 1419 1548 1634 1881 1892 2451 2508 2838 3268 3762 4257 4902 5676 7353 7524 8514 8987 9804 14706 17028 17974 26961 29412 35948 43891 53922 80883 87782 107844 131673 161766 175564 263346 323532 395019 482801 526692 790038 833929 965602 1448403 1580076 1667858 1887313 1931204 2501787 2896806 3335716 3774626 4345209 5003574 5661939 5793612 7505361 7549252 8690418 9173219 10007148 11323878 15010722 16985817 17380836 18346438 20760443 22647756 27519657 30021444 33971634 35858947 36692876 41520886 55039314 62281329 67943268 71717894 82558971 83041772 107576841 110078628 124562658 143435788 165117942 186843987 215153682 249125316 322730523 330235884 373687974 394448417 430307364 645461046 747375948 788896834 1183345251 1290922092 1577793668 2366690502 3550035753 4733381004 7100071506 14200143012