Search a number
-
+
141343488 = 2833112132
BaseRepresentation
bin10000110110010…
…11101100000000
3100211221222211000
420123023230000
5242140442423
622005252000
73334254066
oct1033135400
9324858730
10141343488
117286a500
123b404000
132338aa00
1414ab4036
15c61e843
hex86cbb00

141343488 has 324 divisors, whose sum is σ = 497489160. Its totient is φ = 39536640.

The previous prime is 141343483. The next prime is 141343519. The reversal of 141343488 is 884343141.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

141343488 is a `hidden beast` number, since 141 + 3 + 434 + 88 = 666.

It is a super-2 number, since 2×1413434882 = 39955963200012288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (141343483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10872570 + ... + 10872582.

Almost surely, 2141343488 is an apocalyptic number.

141343488 is a gapful number since it is divisible by the number (18) 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 141343488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248744580).

141343488 is an abundant number, since it is smaller than the sum of its proper divisors (356145672).

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

141343488 is a wasteful number, since it uses less digits than its factorization.

141343488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 29 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 141343488 is about 11888.7967431528. The cubic root of 141343488 is about 520.9050903899.

The spelling of 141343488 in words is "one hundred forty-one million, three hundred forty-three thousand, four hundred eighty-eight".