Search a number
-
+
141402252 = 22323541947
BaseRepresentation
bin10000110110110…
…10000010001100
3100212001222102110
420123122002030
5242144333002
622010424020
73334620315
oct1033320214
9325058373
10141402252
11728aa672
123b432010
13233ab694
1414acb60c
15c631e6c
hex86da08c

141402252 has 48 divisors (see below), whose sum is σ = 345284352. Its totient is φ = 44953920.

The previous prime is 141402193. The next prime is 141402257. The reversal of 141402252 is 252204141.

141402252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (141402257) 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, 148843 + ... + 149789.

It is an arithmetic number, because the mean of its divisors is an integer number (7193424).

Almost surely, 2141402252 is an apocalyptic number.

141402252 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 141402252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172642176).

141402252 is an abundant number, since it is smaller than the sum of its proper divisors (203882100).

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

141402252 is a wasteful number, since it uses less digits than its factorization.

141402252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 141402252 is about 11891.2678886652. The cubic root of 141402252 is about 520.9772696982.

Adding to 141402252 its reverse (252204141), we get a palindrome (393606393).

The spelling of 141402252 in words is "one hundred forty-one million, four hundred two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 541 947 1082 1623 1894 2164 2841 3246 3788 5682 6492 11364 12443 21781 24886 37329 43562 49772 65343 74658 87124 130686 149316 261372 512327 1024654 1536981 2049308 3073962 6147924 11783521 23567042 35350563 47134084 70701126 141402252