Search a number
-
+
141115392 = 214331129
BaseRepresentation
bin10000110100101…
…00000000000000
3100211112101221000
420122110000000
5242111143032
622000332000
73332314065
oct1032240000
9324471830
10141115392
11727240a0
123b314000
132330ac42
1414a54c6c
15c5c6e7c
hex8694000

141115392 has 240 divisors, whose sum is σ = 471844800. Its totient is φ = 41287680.

The previous prime is 141115357. The next prime is 141115397. The reversal of 141115392 is 293511141.

It is a happy number.

141115392 is a `hidden beast` number, since 14 + 111 + 539 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1080) is a multiple of the sum of its prime divisors (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141115397) 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, 4866034 + ... + 4866062.

It is an arithmetic number, because the mean of its divisors is an integer number (1966020).

Almost surely, 2141115392 is an apocalyptic number.

141115392 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 141115392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235922400).

141115392 is an abundant number, since it is smaller than the sum of its proper divisors (330729408).

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

141115392 is an equidigital number, since it uses as much as digits as its factorization.

141115392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 45 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 141115392 is about 11879.1999730622. The cubic root of 141115392 is about 520.6247323754.

It can be divided in two parts, 14111 and 5392, that added together give a triangular number (19503 = T197).

The spelling of 141115392 in words is "one hundred forty-one million, one hundred fifteen thousand, three hundred ninety-two".