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13144210034000 = 24536572105017
BaseRepresentation
bin1011111101000101111111…
…1110000100110101010000
31201112120111121010021221212
42333101133332010311100
53210323320232042000
643542211114035252
72524431530562323
oct277213776046520
951476447107855
1013144210034000
114208478993781
121583529418b28
1374465582a296
1433627c83c7ba
1517bd9ecbac35
hexbf45ff84d50

13144210034000 has 40 divisors (see below), whose sum is σ = 31782699867048. Its totient is φ = 5257684012800.

The previous prime is 13144210033987. The next prime is 13144210034023. The reversal of 13144210034000 is 43001244131.

It can be written as a sum of positive squares in 4 ways, for example, as 5933929024 + 13138276104976 = 77032^2 + 3624676^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3286050509 + ... + 3286054508.

Almost surely, 213144210034000 is an apocalyptic number.

13144210034000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13144210034000 is an abundant number, since it is smaller than the sum of its proper divisors (18638489833048).

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

13144210034000 is an equidigital number, since it uses as much as digits as its factorization.

13144210034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6572105040 (or 6572105024 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 13144210034000 its reverse (43001244131), we get a palindrome (13187211278131).

The spelling of 13144210034000 in words is "thirteen trillion, one hundred forty-four billion, two hundred ten million, thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6572105017 13144210034 26288420068 32860525085 52576840136 65721050170 105153680272 131442100340 164302625425 262884200680 328605250850 525768401360 657210501700 821513127125 1314421003400 1643026254250 2628842006800 3286052508500 6572105017000 13144210034000