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144040020403220 = 225171972578367677
BaseRepresentation
bin100000110000000011101110…
…001111111110010000010100
3200220000002110200101100222122
4200300003232033332100110
5122334422430210400340
61230203023305115112
742224355661101464
oct4060035617762024
9626002420340878
10144040020403220
1141994036447117
12141a3b07488a98
13624abb98834a6
14277d8077c9ba4
15119bc28b5ddb5
hex8300ee3fe414

144040020403220 has 96 divisors (see below), whose sum is σ = 323155573991712. Its totient is φ = 53741633404928.

The previous prime is 144040020403187. The next prime is 144040020403231. The reversal of 144040020403220 is 22304020040441.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 4806109136656 + 139233911266564 = 2192284^2 + 11799742^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 144040020403220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13030022 + ... + 21397698.

It is an arithmetic number, because the mean of its divisors is an integer number (3366203895747).

Almost surely, 2144040020403220 is an apocalyptic number.

144040020403220 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 144040020403220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161577786995856).

144040020403220 is an abundant number, since it is smaller than the sum of its proper divisors (179115553588492).

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

144040020403220 is a wasteful number, since it uses less digits than its factorization.

144040020403220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8368157 (or 8368155 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 144040020403220 its reverse (22304020040441), we get a palindrome (166344040443661).

The spelling of 144040020403220 in words is "one hundred forty-four trillion, forty billion, twenty million, four hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 197 257 340 394 514 788 985 1028 1285 1970 2570 3349 3940 4369 5140 6698 8738 13396 16745 17476 21845 33490 43690 50629 66980 87380 101258 202516 253145 506290 860693 1012580 1721386 3442772 4303465 8367677 8606930 16735354 17213860 33470708 41838385 83676770 142250509 167353540 284501018 569002036 711252545 1422505090 1648432369 2150492989 2845010180 3296864738 4300985978 6593729476 8242161845 8601971956 10752464945 16484323690 21504929890 28023350273 32968647380 36558380813 43009859780 56046700546 73116761626 112093401092 140116751365 146233523252 182791904065 280233502730 365583808130 423647118833 560467005460 731167616260 847294237666 1694588475332 2118235594165 4236471188330 7202001020161 8472942376660 14404002040322 28808004080644 36010005100805 72020010201610 144040020403220