Search a number
-
+
144435100 = 22521798069
BaseRepresentation
bin10001001101111…
…10011110011100
3101001210001201011
420212332132130
5243433410400
622155425004
73402451405
oct1046763634
9331701634
10144435100
1174591257
1240455164
1323c00c74
141527a9ac
15ca308ba
hex89be79c

144435100 has 36 divisors (see below), whose sum is σ = 315214200. Its totient is φ = 57444160.

The previous prime is 144435097. The next prime is 144435121. The reversal of 144435100 is 1534441.

It is a super-2 number, since 2×1444351002 = 41722996224020000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13866 + ... + 21934.

It is an arithmetic number, because the mean of its divisors is an integer number (8755950).

Almost surely, 2144435100 is an apocalyptic number.

144435100 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 144435100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157607100).

144435100 is an abundant number, since it is smaller than the sum of its proper divisors (170779100).

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

144435100 is a wasteful number, since it uses less digits than its factorization.

144435100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8262 (or 8255 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 144435100 is about 12018.1154928716. The cubic root of 144435100 is about 524.6756575628.

Adding to 144435100 its reverse (1534441), we get a palindrome (145969541).

The spelling of 144435100 in words is "one hundred forty-four million, four hundred thirty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 179 358 716 895 1790 3580 4475 8069 8950 16138 17900 32276 40345 80690 161380 201725 403450 806900 1444351 2888702 5777404 7221755 14443510 28887020 36108775 72217550 144435100