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144543672 = 233271321697
BaseRepresentation
bin10001001110110…
…00111110111000
3101001222120122100
420213120332320
5244000344142
622202023400
73403413060
oct1047307670
9331876570
10144543672
1174655889
12404a7b60
1323c3b500
14152a83a0
15ca52b4c
hex89d8fb8

144543672 has 144 divisors (see below), whose sum is σ = 484745040. Its totient is φ = 38098944.

The previous prime is 144543671. The next prime is 144543689. The reversal of 144543672 is 276345441.

144543672 is a `hidden beast` number, since 1 + 44 + 543 + 6 + 72 = 666.

144543672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144543671) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84328 + ... + 86024.

It is an arithmetic number, because the mean of its divisors is an integer number (3366285).

Almost surely, 2144543672 is an apocalyptic number.

144543672 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 144543672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242372520).

144543672 is an abundant number, since it is smaller than the sum of its proper divisors (340201368).

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

144543672 is a wasteful number, since it uses less digits than its factorization.

144543672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1722 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 144543672 is about 12022.6316586677. The cubic root of 144543672 is about 524.8070910299.

The spelling of 144543672 in words is "one hundred forty-four million, five hundred forty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 169 182 234 252 273 312 338 364 468 504 507 546 676 728 819 936 1014 1092 1183 1352 1521 1638 1697 2028 2184 2366 3042 3276 3394 3549 4056 4732 5091 6084 6552 6788 7098 9464 10182 10647 11879 12168 13576 14196 15273 20364 21294 22061 23758 28392 30546 35637 40728 42588 44122 47516 61092 66183 71274 85176 88244 95032 106911 122184 132366 142548 154427 176488 198549 213822 264732 285096 286793 308854 397098 427644 463281 529464 573586 617708 794196 855288 860379 926562 1147172 1235416 1389843 1588392 1720758 1853124 2007551 2294344 2581137 2779686 3441516 3706248 4015102 5162274 5559372 6022653 6883032 8030204 10324548 11118744 12045306 16060408 18067959 20649096 24090612 36135918 48181224 72271836 144543672