Search a number
-
+
141309168 = 2437111317173
BaseRepresentation
bin10000110110000…
…11010011110000
3100211220020201220
420123003103300
5242133343133
622004425040
73334052040
oct1033032360
9324806656
10141309168
1172846740
123b3a8180
13233781c0
1414aa5720
15c6145b3
hex86c34f0

141309168 has 320 divisors, whose sum is σ = 521966592. Its totient is φ = 31703040.

The previous prime is 141309167. The next prime is 141309173. The reversal of 141309168 is 861903141.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141309163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 816730 + ... + 816902.

Almost surely, 2141309168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141309168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260983296).

141309168 is an abundant number, since it is smaller than the sum of its proper divisors (380657424).

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

141309168 is a wasteful number, since it uses less digits than its factorization.

141309168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 141309168 is about 11887.3532798517. The cubic root of 141309168 is about 520.8629261792.

The spelling of 141309168 in words is "one hundred forty-one million, three hundred nine thousand, one hundred sixty-eight".