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144441223223000 = 23531128019468647
BaseRepresentation
bin100000110101111001010111…
…110011010001011011011000
3200221102110001012021022112012
4200311321113303101123120
5122413011111121114000
61231111214254005052
742265351106563634
oct4065712763213330
9627373035238465
10144441223223000
11420291a6a30850
12142498154a6788
1362799974625c2
142794dc7613dc4
1511a73aae4d735
hex835e57cd16d8

144441223223000 has 128 divisors (see below), whose sum is σ = 368732996236800. Its totient is φ = 52522094512000.

The previous prime is 144441223222969. The next prime is 144441223223047. The reversal of 144441223223000 is 322322144441.

It is a happy number.

144441223223000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 307974677 + ... + 308443323.

It is an arithmetic number, because the mean of its divisors is an integer number (2880726533100).

Almost surely, 2144441223223000 is an apocalyptic number.

144441223223000 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 144441223223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184366498118400).

144441223223000 is an abundant number, since it is smaller than the sum of its proper divisors (224291773013800).

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

144441223223000 is a wasteful number, since it uses less digits than its factorization.

144441223223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496698 (or 496684 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 144441223223000 its reverse (322322144441), we get a palindrome (144763545367441).

The spelling of 144441223223000 in words is "one hundred forty-four trillion, four hundred forty-one billion, two hundred twenty-three million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 28019 56038 112076 140095 224152 280190 308209 468647 560380 616418 700475 937294 1120760 1232836 1400950 1541045 1874588 2343235 2465672 2801900 3082090 3502375 3749176 4686470 5155117 5603800 6164180 7004750 7705225 9372940 10310234 11716175 12328360 14009500 15410450 18745880 20620468 23432350 25775585 28019000 30820900 38526125 41240936 46864700 51551170 58580875 61641800 77052250 93729400 103102340 117161750 128877925 154104500 206204680 234323500 257755850 308209000 468647000 515511700 644389625 1031023400 1288779250 2577558500 5155117000 13131020293 26262040586 52524081172 65655101465 105048162344 131310202930 144441223223 262620405860 288882446446 328275507325 525240811720 577764892892 656551014650 722206116115 1155529785784 1313102029300 1444412232230 1641377536625 2626204058600 2888824464460 3282755073250 3611030580575 5777648928920 6565510146500 7222061161150 13131020293000 14444122322300 18055152902875 28888244644600 36110305805750 72220611611500 144441223223000