Search a number
-
+
141433000 = 2353294877
BaseRepresentation
bin10000110111000…
…01100010101000
3100212010112121021
420123201202220
5242201324000
622011222224
73335106052
oct1033414250
9325115537
10141433000
1172920785
123b447974
13233bc687
1414ad88d2
15c63b11a
hex86e18a8

141433000 has 64 divisors (see below), whose sum is σ = 342435600. Its totient is φ = 54611200.

The previous prime is 141432983. The next prime is 141433007. The reversal of 141433000 is 334141.

It can be written as a sum of positive squares in 8 ways, for example, as 820836 + 140612164 = 906^2 + 11858^2 .

It is not an unprimeable number, because it can be changed into a prime (141433007) 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 15 ways as a sum of consecutive naturals, for example, 26562 + ... + 31438.

Almost surely, 2141433000 is an apocalyptic number.

141433000 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 141433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171217800).

141433000 is an abundant number, since it is smaller than the sum of its proper divisors (201002600).

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

141433000 is a wasteful number, since it uses less digits than its factorization.

141433000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4927 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 141433000 is about 11892.5606998661. The cubic root of 141433000 is about 521.0150292291.

Adding to 141433000 its reverse (334141), we get a palindrome (141767141).

The spelling of 141433000 in words is "one hundred forty-one million, four hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3625 4877 5800 7250 9754 14500 19508 24385 29000 39016 48770 97540 121925 141433 195080 243850 282866 487700 565732 609625 707165 975400 1131464 1219250 1414330 2438500 2828660 3535825 4877000 5657320 7071650 14143300 17679125 28286600 35358250 70716500 141433000