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144120434403220 = 225114197164720363
BaseRepresentation
bin100000110001001110100111…
…010011000010011110010100
3200220021210000212111211012221
4200301032213103002132110
5122342232122201400340
61230304002532152124
742233233500604252
oct4061164723023624
9626253025454187
10144120434403220
1141a15151010560
12141b7609a68644
1362556636bc002
1427836755315d2
15119dd8365944a
hex8313a74c2794

144120434403220 has 96 divisors (see below), whose sum is σ = 341706465184896. Its totient is φ = 50602095206400.

The previous prime is 144120434403149. The next prime is 144120434403229. The reversal of 144120434403220 is 22304434021441.

It is a super-2 number, since 2×1441204344032202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144120434403229) 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, 81485242 + ... + 83235121.

It is an arithmetic number, because the mean of its divisors is an integer number (3559442345676).

Almost surely, 2144120434403220 is an apocalyptic number.

144120434403220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144120434403220 is an abundant number, since it is smaller than the sum of its proper divisors (197586030781676).

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

144120434403220 is a wasteful number, since it uses less digits than its factorization.

144120434403220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164720521 (or 164720519 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 144120434403220 its reverse (22304434021441), we get a palindrome (166424868424661).

The spelling of 144120434403220 in words is "one hundred forty-four trillion, one hundred twenty billion, four hundred thirty-four million, four hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 97 110 164 194 205 220 388 410 451 485 820 902 970 1067 1804 1940 2134 2255 3977 4268 4510 5335 7954 9020 10670 15908 19885 21340 39770 43747 79540 87494 174988 218735 437470 874940 164720363 329440726 658881452 823601815 1647203630 1811923993 3294407260 3623847986 6753534883 7247695972 9059619965 13507069766 15977875211 18119239930 27014139532 31955750422 33767674415 36238479860 63911500844 67535348830 74288883713 79889376055 135070697660 148577767426 159778752110 175756627321 297155534852 319557504220 351513254642 371444418565 655092883651 703026509284 742888837130 878783136605 1310185767302 1485777674260 1757566273210 2620371534604 3275464418255 3515132546420 6550928836510 7206021720161 13101857673020 14412043440322 28824086880644 36030108600805 72060217201610 144120434403220