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1341143200 = 25522516679
BaseRepresentation
bin100111111110000…
…0011100010100000
310110110121010121101
41033330003202200
510221313040300
6341025204144
745143346325
oct11774034240
93413533541
101341143200
11629049811
12315190654
13184b11c77
14ca190b4c
157cb1ab6a
hex4ff038a0

1341143200 has 72 divisors (see below), whose sum is σ = 3287602080. Its totient is φ = 534240000.

The previous prime is 1341143183. The next prime is 1341143207. The reversal of 1341143200 is 23411431.

It is a super-4 number, since 4×13411432004 (a number of 38 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (1341143207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197461 + ... + 204139.

It is an arithmetic number, because the mean of its divisors is an integer number (45661140).

Almost surely, 21341143200 is an apocalyptic number.

1341143200 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 1341143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643801040).

1341143200 is an abundant number, since it is smaller than the sum of its proper divisors (1946458880).

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

1341143200 is a wasteful number, since it uses less digits than its factorization.

1341143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6950 (or 6937 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1341143200 is about 36621.6220285230. The cubic root of 1341143200 is about 1102.7872017408.

Adding to 1341143200 its reverse (23411431), we get a palindrome (1364554631).

The spelling of 1341143200 in words is "one billion, three hundred forty-one million, one hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 251 400 502 800 1004 1255 2008 2510 4016 5020 6275 6679 8032 10040 12550 13358 20080 25100 26716 33395 40160 50200 53432 66790 100400 106864 133580 166975 200800 213728 267160 333950 534320 667900 1068640 1335800 1676429 2671600 3352858 5343200 6705716 8382145 13411432 16764290 26822864 33528580 41910725 53645728 67057160 83821450 134114320 167642900 268228640 335285800 670571600 1341143200