Search a number
-
+
13553143204000 = 255329031167167
BaseRepresentation
bin1100010100111001011001…
…0010010100100010100000
31202222200000212000201102211
43011032112102110202200
53234023314130012000
644454121131051504
72566116344302621
oct305162622244240
952880025021384
1013553143204000
1143559460109a4
12162a8342a0b94
13774095b19c1a
1434bd931bba48
15187835a8e7ba
hexc53964948a0

13553143204000 has 96 divisors (see below), whose sum is σ = 33311572310016. Its totient is φ = 5419385171200.

The previous prime is 13553143203997. The next prime is 13553143204019. The reversal of 13553143204000 is 40234135531.

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 15 ways as a sum of consecutive naturals, for example, 11028417 + ... + 12195583.

It is an arithmetic number, because the mean of its divisors is an integer number (346995544896).

Almost surely, 213553143204000 is an apocalyptic number.

13553143204000 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 13553143204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16655786155008).

13553143204000 is an abundant number, since it is smaller than the sum of its proper divisors (19758429106016).

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

13553143204000 is a wasteful number, since it uses less digits than its factorization.

13553143204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170095 (or 1170077 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 13553143204000 its reverse (40234135531), we get a palindrome (13593377339531).

The spelling of 13553143204000 in words is "thirteen trillion, five hundred fifty-three billion, one hundred forty-three million, two hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 2903 4000 5806 11612 14515 23224 29030 46448 58060 72575 92896 116120 145150 232240 290300 362875 464480 580600 725750 1161200 1167167 1451500 2322400 2334334 2903000 4668668 5806000 5835835 9337336 11612000 11671670 18674672 23343340 29179175 37349344 46686680 58358350 93373360 116716700 145895875 186746720 233433400 291791750 466866800 583583500 933733600 1167167000 2334334000 3388285801 4668668000 6776571602 13553143204 16941429005 27106286408 33882858010 54212572816 67765716020 84707145025 108425145632 135531432040 169414290050 271062864080 338828580100 423535725125 542125728160 677657160200 847071450250 1355314320400 1694142900500 2710628640800 3388285801000 6776571602000 13553143204000