Search a number
-
+
141324312 = 23337612609
BaseRepresentation
bin10000110110001…
…11000000011000
3100211221000111210
420123013000120
5242134334222
622005023120
73334144143
oct1033070030
9324830453
10141324312
1172857058
123b3b4aa0
132338206c
1414aab05a
15c618d0c
hex86c7018

141324312 has 64 divisors (see below), whose sum is σ = 368949600. Its totient is φ = 45066240.

The previous prime is 141324301. The next prime is 141324317. The reversal of 141324312 is 213423141.

It is a super-2 number, since 2×1413243122 = 39945122324546688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141324317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52864 + ... + 55472.

Almost surely, 2141324312 is an apocalyptic number.

141324312 is a gapful number since it is divisible by the number (12) 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 141324312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184474800).

141324312 is an abundant number, since it is smaller than the sum of its proper divisors (227625288).

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

141324312 is a wasteful number, since it uses less digits than its factorization.

141324312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 2712 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 141324312 is about 11887.9902422571. The cubic root of 141324312 is about 520.8815323472.

Adding to 141324312 its reverse (213423141), we get a palindrome (354747453).

The spelling of 141324312 in words is "one hundred forty-one million, three hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 61 74 111 122 148 183 222 244 296 366 444 488 732 888 1464 2257 2609 4514 5218 6771 7827 9028 10436 13542 15654 18056 20872 27084 31308 54168 62616 96533 159149 193066 289599 318298 386132 477447 579198 636596 772264 954894 1158396 1273192 1909788 2316792 3819576 5888513 11777026 17665539 23554052 35331078 47108104 70662156 141324312