Search a number
-
+
144446316 = 223721671471
BaseRepresentation
bin10001001110000…
…01001101101100
3101001210122002120
420213001031230
5243434240231
622155552540
73402526200
oct1047011554
9331718076
10144446316
1174599723
124045b750
1323c060c1
1415280b00
15ca33d96
hex89c136c

144446316 has 72 divisors (see below), whose sum is σ = 394684416. Its totient is φ = 40995360.

The previous prime is 144446299. The next prime is 144446317. The reversal of 144446316 is 613644441.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (144446317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97461 + ... + 98931.

It is an arithmetic number, because the mean of its divisors is an integer number (5481728).

Almost surely, 2144446316 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 144446316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197342208).

144446316 is an abundant number, since it is smaller than the sum of its proper divisors (250238100).

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

144446316 is a wasteful number, since it uses less digits than its factorization.

144446316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1650 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 144446316 is about 12018.5821127120. The cubic root of 144446316 is about 524.6892383103.

The spelling of 144446316 in words is "one hundred forty-four million, four hundred forty-six thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 167 196 294 334 501 588 668 1002 1169 1471 2004 2338 2942 3507 4413 4676 5884 7014 8183 8826 10297 14028 16366 17652 20594 24549 30891 32732 41188 49098 61782 72079 98196 123564 144158 216237 245657 288316 432474 491314 736971 864948 982628 1473942 1719599 2947884 3439198 5158797 6878396 10317594 12037193 20635188 24074386 36111579 48148772 72223158 144446316