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144443331230440 = 23511734993900659
BaseRepresentation
bin100000110101111011010101…
…011100101011101011101000
3200221102122111002212012002211
4200311323111130223223220
5122413024420243333230
61231112203355534504
742265454254421134
oct4065732534535350
9627378432765084
10144443331230440
114202a088938a60
121424a10345a434
136279c420c5098
1427951475863c4
1511a748104842a
hex835ed572bae8

144443331230440 has 128 divisors (see below), whose sum is σ = 359471851516800. Its totient is φ = 51794896158720.

The previous prime is 144443331230417. The next prime is 144443331230449. The reversal of 144443331230440 is 44032133344441.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 144443331230393 and 144443331230402.

It is not an unprimeable number, because it can be changed into a prime (144443331230449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159924831 + ... + 160825489.

It is an arithmetic number, because the mean of its divisors is an integer number (2808373839975).

Almost surely, 2144443331230440 is an apocalyptic number.

144443331230440 is a gapful number since it is divisible by the number (10) 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 144443331230440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179735925758400).

144443331230440 is an abundant number, since it is smaller than the sum of its proper divisors (215028520286360).

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

144443331230440 is a wasteful number, since it uses less digits than its factorization.

144443331230440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905747 (or 905743 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 144443331230440 its reverse (44032133344441), we get a palindrome (188475464574881).

The spelling of 144443331230440 in words is "one hundred forty-four trillion, four hundred forty-three billion, three hundred thirty-one million, two hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 146 220 292 365 440 584 730 803 1460 1606 2920 3212 4015 4993 6424 8030 9986 16060 19972 24965 32120 39944 49930 54923 99860 109846 199720 219692 274615 364489 439384 549230 728978 900659 1098460 1457956 1801318 1822445 2196920 2915912 3602636 3644890 4009379 4503295 7205272 7289780 8018758 9006590 9907249 14579560 16037516 18013180 19814498 20046895 32075032 36026360 39628996 40093790 49536245 65748107 79257992 80187580 99072490 131496214 160375160 198144980 262992428 328740535 396289960 525984856 657481070 723229177 1314962140 1446458354 2629924280 2892916708 3616145885 4496990387 5785833416 7232291770 8993980774 14464583540 17987961548 22484951935 28929167080 35975923096 44969903870 49466894257 89939807740 98933788514 179879615480 197867577028 247334471285 328280298251 395735154056 494668942570 656560596502 989337885140 1313121193004 1641401491255 1978675770280 2626242386008 3282802982510 3611083280761 6565605965020 7222166561522 13131211930040 14444333123044 18055416403805 28888666246088 36110832807610 72221665615220 144443331230440