Search a number
-
+
144653310 = 23354711399
BaseRepresentation
bin10001001111100…
…11101111111110
3101002012011001000
420213303233332
5244012401220
622204231130
73404350524
oct1047635776
9332164030
10144653310
117472019a
124053b4a6
1323c79399
14152d6314
15ca75390
hex89f3bfe

144653310 has 64 divisors (see below), whose sum is σ = 393984000. Its totient is φ = 37750176.

The previous prime is 144653291. The next prime is 144653317. The reversal of 144653310 is 13356441.

144653310 is a `hidden beast` number, since 1 + 4 + 4 + 653 + 3 + 1 + 0 = 666.

It is a super-2 number, since 2×1446533102 = 41849160187912200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144653317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6991 + ... + 18389.

It is an arithmetic number, because the mean of its divisors is an integer number (6156000).

Almost surely, 2144653310 is an apocalyptic number.

144653310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144653310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196992000).

144653310 is an abundant number, since it is smaller than the sum of its proper divisors (249330690).

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

144653310 is a wasteful number, since it uses less digits than its factorization.

144653310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11462 (or 11456 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 144653310 is about 12027.1904449876. The cubic root of 144653310 is about 524.9397481875.

It can be divided in two parts, 1446 and 53310, that added together give a square (54756 = 2342).

The spelling of 144653310 in words is "one hundred forty-four million, six hundred fifty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 90 94 135 141 235 270 282 423 470 705 846 1269 1410 2115 2538 4230 6345 11399 12690 22798 34197 56995 68394 102591 113990 170985 205182 307773 341970 512955 535753 615546 1025910 1071506 1538865 1607259 2678765 3077730 3214518 4821777 5357530 8036295 9643554 14465331 16072590 24108885 28930662 48217770 72326655 144653310