Search a number
-
+
141412200 = 233522111117
BaseRepresentation
bin10000110110111…
…00011101101000
3100212002111001220
420123130131220
5242200142300
622010542040
73334661316
oct1033343550
9325074056
10141412200
1172907096
123b437920
13233b3077
1414ad10b6
15c634da0
hex86dc768

141412200 has 96 divisors (see below), whose sum is σ = 440849760. Its totient is φ = 37497600.

The previous prime is 141412199. The next prime is 141412217. The reversal of 141412200 is 2214141.

141412200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1414122003 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 141412200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126042 + ... + 127158.

It is an arithmetic number, because the mean of its divisors is an integer number (4592185).

Almost surely, 2141412200 is an apocalyptic number.

141412200 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 141412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220424880).

141412200 is an abundant number, since it is smaller than the sum of its proper divisors (299437560).

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

141412200 is a wasteful number, since it uses less digits than its factorization.

141412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 141412200 is about 11891.6861714393. The cubic root of 141412200 is about 520.9894867605.

Adding to 141412200 its reverse (2214141), we get a palindrome (143626341).

The spelling of 141412200 in words is "one hundred forty-one million, four hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 211 300 422 600 633 844 1055 1117 1266 1688 2110 2234 2532 3165 3351 4220 4468 5064 5275 5585 6330 6702 8440 8936 10550 11170 12660 13404 15825 16755 21100 22340 25320 26808 27925 31650 33510 42200 44680 55850 63300 67020 83775 111700 126600 134040 167550 223400 235687 335100 471374 670200 707061 942748 1178435 1414122 1885496 2356870 2828244 3535305 4713740 5656488 5892175 7070610 9427480 11784350 14141220 17676525 23568700 28282440 35353050 47137400 70706100 141412200