Search a number
-
+
13334402000 = 245331449479
BaseRepresentation
bin11000110101100101…
…01101001111010000
31021102022000210202202
430122302231033100
5204302101331000
610043054302332
7651303355403
oct143262551720
937368023682
1013334402000
115722a16647
1227017b79a8
1313467562ca
14906d35d3a
155309a8dd5
hex31acad3d0

13334402000 has 160 divisors (see below), whose sum is σ = 33426432000. Its totient is φ = 5139456000.

The previous prime is 13334401999. The next prime is 13334402017. The reversal of 13334402000 is 20443331.

13334402000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27837761 + ... + 27838239.

It is an arithmetic number, because the mean of its divisors is an integer number (208915200).

Almost surely, 213334402000 is an apocalyptic number.

13334402000 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 13334402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16713216000).

13334402000 is an abundant number, since it is smaller than the sum of its proper divisors (20092030000).

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

13334402000 is a wasteful number, since it uses less digits than its factorization.

13334402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 13334402000 its reverse (20443331), we get a palindrome (13354845331).

The spelling of 13334402000 in words is "thirteen billion, three hundred thirty-four million, four hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 449 479 496 500 620 775 898 958 1000 1240 1550 1796 1916 2000 2245 2395 2480 3100 3592 3832 3875 4490 4790 6200 7184 7664 7750 8980 9580 11225 11975 12400 13919 14849 15500 17960 19160 22450 23950 27838 29698 31000 35920 38320 44900 47900 55676 56125 59396 59875 62000 69595 74245 89800 95800 111352 112250 118792 119750 139190 148490 179600 191600 215071 222704 224500 237584 239500 278380 296980 347975 371225 430142 449000 479000 556760 593960 695950 742450 860284 898000 958000 1075355 1113520 1187920 1391900 1484900 1720568 1739875 1856125 2150710 2783800 2969800 3441136 3479750 3712250 4301420 5376775 5567600 5939600 6667201 6959500 7424500 8602840 10753550 13334402 13919000 14849000 17205680 21507100 26668804 26883875 27838000 29698000 33336005 43014200 53337608 53767750 66672010 86028400 106675216 107535500 133344020 166680025 215071000 266688040 333360050 430142000 533376080 666720100 833400125 1333440200 1666800250 2666880400 3333600500 6667201000 13334402000