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144085284 = 223372191433
BaseRepresentation
bin10001001011010…
…01000100100100
3101001010021212000
420211221010210
5243341212114
622144125300
73366463500
oct1045510444
9331107760
10144085284
1174372452
1240306830
1323b0a985
14151c9300
15c9b1e09
hex8969124

144085284 has 144 divisors (see below), whose sum is σ = 457732800. Its totient is φ = 38973312.

The previous prime is 144085273. The next prime is 144085297. The reversal of 144085284 is 482580441.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99832 + ... + 101264.

It is an arithmetic number, because the mean of its divisors is an integer number (3178700).

Almost surely, 2144085284 is an apocalyptic number.

144085284 is a gapful number since it is divisible by the number (14) 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 144085284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228866400).

144085284 is an abundant number, since it is smaller than the sum of its proper divisors (313647516).

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

144085284 is a wasteful number, since it uses less digits than its factorization.

144085284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 144085284 is about 12003.5529740157. The cubic root of 144085284 is about 524.2517340267.

The spelling of 144085284 in words is "one hundred forty-four million, eighty-five thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 49 54 57 63 76 84 98 108 114 126 133 147 171 189 196 228 252 266 294 342 378 399 441 513 532 588 684 756 798 882 931 1026 1197 1323 1433 1596 1764 1862 2052 2394 2646 2793 2866 3591 3724 4299 4788 5292 5586 5732 7182 8379 8598 10031 11172 12897 14364 16758 17196 20062 25137 25794 27227 30093 33516 38691 40124 50274 51588 54454 60186 70217 77382 81681 90279 100548 108908 120372 140434 154764 163362 180558 190589 210651 245043 270837 280868 326724 361116 381178 421302 490086 541674 571767 631953 735129 762356 842604 980172 1083348 1143534 1263906 1334123 1470258 1715301 1895859 2287068 2527812 2668246 2940516 3430602 3791718 4002369 5145903 5336492 6861204 7583436 8004738 10291806 12007107 16009476 20583612 24014214 36021321 48028428 72042642 144085284