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144062028 = 2232111941467
BaseRepresentation
bin10001001011000…
…11011001001100
3101001002002221200
420211203121030
5243334441103
622143425500
73366335625
oct1045433114
9331062850
10144062028
1174356a30
12402b5290
1323b00206
14151c0a4c
15c9aa0a3
hex896364c

144062028 has 144 divisors (see below), whose sum is σ = 429287040. Its totient is φ = 40262400.

The previous prime is 144062027. The next prime is 144062071. The reversal of 144062028 is 820260441.

144062028 is a `hidden beast` number, since 14 + 4 + 0 + 620 + 28 = 666.

It is a super-2 number, since 2×1440620282 = 41507735822945568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144061992 and 144062010.

It is not an unprimeable number, because it can be changed into a prime (144062027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308251 + ... + 308717.

It is an arithmetic number, because the mean of its divisors is an integer number (2981160).

Almost surely, 2144062028 is an apocalyptic number.

144062028 is a gapful number since it is divisible by the number (18) 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 144062028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214643520).

144062028 is an abundant number, since it is smaller than the sum of its proper divisors (285225012).

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

144062028 is a wasteful number, since it uses less digits than its factorization.

144062028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 543 counting only the distinct ones).

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

The square root of 144062028 is about 12002.5842217416. The cubic root of 144062028 is about 524.2235269955.

The spelling of 144062028 in words is "one hundred forty-four million, sixty-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 41 44 57 66 76 82 99 114 123 132 164 171 198 209 228 246 342 369 396 418 451 467 492 627 684 738 779 836 902 934 1254 1353 1401 1476 1558 1804 1868 1881 2337 2508 2706 2802 3116 3762 4059 4203 4674 5137 5412 5604 7011 7524 8118 8406 8569 8873 9348 10274 14022 15411 16236 16812 17138 17746 19147 20548 25707 26619 28044 30822 34276 35492 38294 46233 51414 53238 57441 61644 76588 77121 79857 92466 97603 102828 106476 114882 154242 159714 172323 184932 195206 210617 229764 292809 308484 319428 344646 363793 390412 421234 585618 631851 689292 727586 842468 878427 1091379 1171236 1263702 1455172 1756854 1895553 2182758 2527404 3274137 3513708 3791106 4001723 4365516 6548274 7582212 8003446 12005169 13096548 16006892 24010338 36015507 48020676 72031014 144062028