Search a number
-
+
141404640 = 253513173143
BaseRepresentation
bin10000110110110…
…10100111100000
3100212002002200220
420123122213200
5242144422030
622010443040
73334630266
oct1033324740
9325062626
10141404640
1172901443
123b433480
13233ac7b0
1414acc436
15c632a10
hex86da9e0

141404640 has 384 divisors, whose sum is σ = 536481792. Its totient is φ = 30965760.

The previous prime is 141404633. The next prime is 141404647. The reversal of 141404640 is 46404141.

It is an interprime number because it is at equal distance from previous prime (141404633) and next prime (141404647).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 141404640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141404647) 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 63 ways as a sum of consecutive naturals, for example, 3288459 + ... + 3288501.

It is an arithmetic number, because the mean of its divisors is an integer number (1397088).

Almost surely, 2141404640 is an apocalyptic number.

141404640 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 141404640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268240896).

141404640 is an abundant number, since it is smaller than the sum of its proper divisors (395077152).

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

141404640 is a wasteful number, since it uses less digits than its factorization.

141404640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 141404640 is about 11891.3682980555. The cubic root of 141404640 is about 520.9802024349.

Adding to 141404640 its reverse (46404141), we get a palindrome (187808781).

The spelling of 141404640 in words is "one hundred forty-one million, four hundred four thousand, six hundred forty".