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13144404131200 = 27524107626291
BaseRepresentation
bin1011111101000110101110…
…0010011111110110000000
31201112121000010100110021001
42333101223202133312000
53210324214424144300
643542242250141344
72524436405433346
oct277215342376600
951477003313231
1013144404131200
114208568504891
121583582421854
13744686ac88b4
1433629a525996
1517bdb1d5b16a
hexbf46b89fd80

13144404131200 has 48 divisors (see below), whose sum is σ = 32470785838260. Its totient is φ = 5257761651200.

The previous prime is 13144404131161. The next prime is 13144404131203. The reversal of 13144404131200 is 213140444131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144404131203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2053809946 + ... + 2053816345.

Almost surely, 213144404131200 is an apocalyptic number.

13144404131200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13144404131200 is an abundant number, since it is smaller than the sum of its proper divisors (19326381707060).

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

13144404131200 is an equidigital number, since it uses as much as digits as its factorization.

13144404131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4107626315 (or 4107626298 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 13144404131200 its reverse (213140444131), we get a palindrome (13357544575331).

The spelling of 13144404131200 in words is "thirteen trillion, one hundred forty-four billion, four hundred four million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 4107626291 8215252582 16430505164 20538131455 32861010328 41076262910 65722020656 82152525820 102690657275 131444041312 164305051640 205381314550 262888082624 328610103280 410762629100 525776165248 657220206560 821525258200 1314440413120 1643050516400 2628880826240 3286101032800 6572202065600 13144404131200