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13531144000 = 265311153763
BaseRepresentation
bin11001001101000010…
…01101111101000000
31021221000020100001111
430212201031331000
5210202433102000
610114403213104
7656212553263
oct144641157500
937830210044
1013531144000
115813a83840
122757677194
13137843c6aa
1492510acda
15542dbccba
hex32684df40

13531144000 has 112 divisors (see below), whose sum is σ = 36556468416. Its totient is φ = 4920384000.

The previous prime is 13531143943. The next prime is 13531144019. The reversal of 13531144000 is 44113531.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11119 + ... + 164881.

Almost surely, 213531144000 is an apocalyptic number.

13531144000 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 13531144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18278234208).

13531144000 is an abundant number, since it is smaller than the sum of its proper divisors (23025324416).

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

13531144000 is a wasteful number, since it uses less digits than its factorization.

13531144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153801 (or 153781 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 13531144000 its reverse (44113531), we get a palindrome (13575257531).

The spelling of 13531144000 in words is "thirteen billion, five hundred thirty-one million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 704 800 880 1000 1100 1375 1600 1760 2000 2200 2750 3520 4000 4400 5500 8000 8800 11000 17600 22000 44000 88000 153763 307526 615052 768815 1230104 1537630 1691393 2460208 3075260 3382786 3844075 4920416 6150520 6765572 7688150 8456965 9840832 12301040 13531144 15376300 16913930 19220375 24602080 27062288 30752600 33827860 38440750 42284825 49204160 54124576 61505200 67655720 76881500 84569650 108249152 123010400 135311440 153763000 169139300 211424125 246020800 270622880 307526000 338278600 422848250 541245760 615052000 676557200 845696500 1230104000 1353114400 1691393000 2706228800 3382786000 6765572000 13531144000