Search a number
-
+
144161424 = 243311231319
BaseRepresentation
bin10001001011110…
…11101010010000
3101001021011022000
420211323222100
5243401131144
622145514000
73400231461
oct1045735220
9331234260
10144161424
1174414680
1240342900
1323b36524
1415208d68
15c9c9769
hex897ba90

144161424 has 160 divisors (see below), whose sum is σ = 471398400. Its totient is φ = 41754240.

The previous prime is 144161393. The next prime is 144161429. The reversal of 144161424 is 424161441.

144161424 is a `hidden beast` number, since 1 + 4 + 41 + 614 + 2 + 4 = 666.

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

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 (144161429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108637 + ... + 109955.

It is an arithmetic number, because the mean of its divisors is an integer number (2946240).

Almost surely, 2144161424 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 144161424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235699200).

144161424 is an abundant number, since it is smaller than the sum of its proper divisors (327236976).

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

144161424 is a wasteful number, since it uses less digits than its factorization.

144161424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1358 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 144161424 is about 12006.7241160943. The cubic root of 144161424 is about 524.3440624424.

The spelling of 144161424 in words is "one hundred forty-four million, one hundred sixty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 27 33 36 44 46 48 54 66 69 72 88 92 99 108 132 138 144 176 184 198 207 216 253 264 276 297 368 396 414 432 506 528 552 594 621 759 792 828 1012 1104 1188 1242 1319 1518 1584 1656 2024 2277 2376 2484 2638 3036 3312 3957 4048 4554 4752 4968 5276 6072 6831 7914 9108 9936 10552 11871 12144 13662 14509 15828 18216 21104 23742 27324 29018 30337 31656 35613 36432 43527 47484 54648 58036 60674 63312 71226 87054 91011 94968 109296 116072 121348 130581 142452 174108 182022 189936 232144 242696 261162 273033 284904 333707 348216 364044 391743 485392 522324 546066 569808 667414 696432 728088 783486 819099 1001121 1044648 1092132 1334828 1456176 1566972 1638198 2002242 2089296 2184264 2669656 3003363 3133944 3276396 4004484 4368528 5339312 6006726 6267888 6552792 8008968 9010089 12013452 13105584 16017936 18020178 24026904 36040356 48053808 72080712 144161424