Search a number
-
+
14203443234100 = 22521921572506033
BaseRepresentation
bin1100111010101111111100…
…1100000100010100110100
31212021211120101021001110211
43032223333030010110310
53330202122431442400
650112545521355204
72664110364330001
oct316537714042464
955254511231424
1014203443234100
1145867124715aa
121714880498b04
137c04c0725843
143716439728a8
151996e67b9dba
hexceaff304534

14203443234100 has 108 divisors (see below), whose sum is σ = 32736236936844. Its totient is φ = 5348072770560.

The previous prime is 14203443234091. The next prime is 14203443234121. The reversal of 14203443234100 is 143234430241.

It can be written as a sum of positive squares in 6 ways, for example, as 263285976996 + 13940157257104 = 513114^2 + 3733652^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4414684 + ... + 6920716.

Almost surely, 214203443234100 is an apocalyptic number.

14203443234100 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 14203443234100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16368118468422).

14203443234100 is an abundant number, since it is smaller than the sum of its proper divisors (18532793702744).

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

14203443234100 is a wasteful number, since it uses less digits than its factorization.

14203443234100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506242 (or 2506216 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 14203443234100 its reverse (143234430241), we get a palindrome (14346677664341).

The spelling of 14203443234100 in words is "fourteen trillion, two hundred three billion, four hundred forty-three million, two hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 157 190 314 361 380 475 628 722 785 950 1444 1570 1805 1900 2983 3140 3610 3925 5966 7220 7850 9025 11932 14915 15700 18050 29830 36100 56677 59660 74575 113354 149150 226708 283385 298300 566770 1133540 1416925 2506033 2833850 5012066 5667700 10024132 12530165 25060330 47614627 50120660 62650825 95229254 125301650 190458508 238073135 250603300 393447181 476146270 786894362 904677913 952292540 1190365675 1573788724 1809355826 1967235905 2380731350 3618711652 3934471810 4523389565 4761462700 7475496439 7868943620 9046779130 9836179525 14950992878 18093558260 19672359050 22616947825 29901985756 37377482195 39344718100 45233895650 74754964390 90467791300 142034432341 149509928780 186887410975 284068864682 373774821950 568137729364 710172161705 747549643900 1420344323410 2840688646820 3550860808525 7101721617050 14203443234100