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13143034000 = 24537578681
BaseRepresentation
bin11000011110110001…
…01100100010010000
31020220221221022020001
430033120230202100
5203404104042000
610012100455344
7643460642245
oct141730544220
936827838201
1013143034000
115634999a78
1226696aa554
131315c01cc5
148c975d5cc
1551dca746a
hex30f62c890

13143034000 has 80 divisors (see below), whose sum is σ = 31825503216. Its totient is φ = 5249664000.

The previous prime is 13143033991. The next prime is 13143034013. The reversal of 13143034000 is 43034131.

It can be written as a sum of positive squares in 8 ways, for example, as 1716279184 + 11426754816 = 41428^2 + 106896^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 1509660 + ... + 1518340.

Almost surely, 213143034000 is an apocalyptic number.

13143034000 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 13143034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15912751608).

13143034000 is an abundant number, since it is smaller than the sum of its proper divisors (18682469216).

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

13143034000 is an equidigital number, since it uses as much as digits as its factorization.

13143034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9461 (or 9445 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 13143034000 its reverse (43034131), we get a palindrome (13186068131).

The spelling of 13143034000 in words is "thirteen billion, one hundred forty-three million, thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 757 1000 1514 2000 3028 3785 6056 7570 8681 12112 15140 17362 18925 30280 34724 37850 43405 60560 69448 75700 86810 94625 138896 151400 173620 189250 217025 302800 347240 378500 434050 694480 757000 868100 1085125 1514000 1736200 2170250 3472400 4340500 6571517 8681000 13143034 17362000 26286068 32857585 52572136 65715170 105144272 131430340 164287925 262860680 328575850 525721360 657151700 821439625 1314303400 1642879250 2628606800 3285758500 6571517000 13143034000