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141134300 = 225229411187
BaseRepresentation
bin10000110100110…
…00100111011100
3100211120100212022
420122120213130
5242112244200
622000555312
73332423156
oct1032304734
9324510768
10141134300
117273731a
123b322b38
1323316728
1414a5bad6
15c5cc885
hex86989dc

141134300 has 72 divisors (see below), whose sum is σ = 324822960. Its totient is φ = 53132800.

The previous prime is 141134281. The next prime is 141134309. The reversal of 141134300 is 3431141.

141134300 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

141134300 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141134309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118307 + ... + 119493.

It is an arithmetic number, because the mean of its divisors is an integer number (4511430).

Almost surely, 2141134300 is an apocalyptic number.

141134300 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 141134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162411480).

141134300 is an abundant number, since it is smaller than the sum of its proper divisors (183688660).

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

141134300 is a wasteful number, since it uses less digits than its factorization.

141134300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 141134300 is about 11879.9957912450. The cubic root of 141134300 is about 520.6479841097.

Adding to 141134300 its reverse (3431141), we get a palindrome (144565441).

The spelling of 141134300 in words is "one hundred forty-one million, one hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 41 50 58 82 100 116 145 164 205 290 410 580 725 820 1025 1187 1189 1450 2050 2374 2378 2900 4100 4748 4756 5935 5945 11870 11890 23740 23780 29675 29725 34423 48667 59350 59450 68846 97334 118700 118900 137692 172115 194668 243335 344230 486670 688460 860575 973340 1216675 1411343 1721150 2433350 2822686 3442300 4866700 5645372 7056715 14113430 28226860 35283575 70567150 141134300