Search a number
-
+
141223104 = 26321131719
BaseRepresentation
bin10000110101011…
…10010011000000
3100211201212200100
420122232103000
5242123114404
622002522400
73333243111
oct1032562300
9324655610
10141223104
1172798010
123b366400
1323347c89
1414a82208
15c5e8d39
hex86ae4c0

141223104 has 168 divisors, whose sum is σ = 456468480. Its totient is φ = 41356800.

The previous prime is 141223087. The next prime is 141223133. The reversal of 141223104 is 401322141.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 196057 + ... + 196775.

Almost surely, 2141223104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228234240).

141223104 is an abundant number, since it is smaller than the sum of its proper divisors (315245376).

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

141223104 is a wasteful number, since it uses less digits than its factorization.

141223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 141223104 is about 11883.7327469108. The cubic root of 141223104 is about 520.7571612778.

141223104 divided by its product of nonzero digits (192) gives a palindrome (735537).

Adding to 141223104 its reverse (401322141), we get a palindrome (542545245).

The spelling of 141223104 in words is "one hundred forty-one million, two hundred twenty-three thousand, one hundred four".