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14422002124200 = 23352112198650167
BaseRepresentation
bin1101000111011110001001…
…0100000100010110101000
31220001201201010101001002020
43101313202110010112220
53342242230020433300
650401213141104440
73015645441255216
oct321674224042650
956051633331066
1014422002124200
114660378244600
12174b0b73b8120
13807cb19a9098
1437c0587a5cb6
151a02391e48a0
hexd1de25045a8

14422002124200 has 144 divisors (see below), whose sum is σ = 49142078559840. Its totient is φ = 3496242921600.

The previous prime is 14422002124097. The next prime is 14422002124217. The reversal of 14422002124200 is 242120022441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99252484 + ... + 99397683.

Almost surely, 214422002124200 is an apocalyptic number.

14422002124200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14422002124200 is an abundant number, since it is smaller than the sum of its proper divisors (34720076435640).

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

14422002124200 is a wasteful number, since it uses less digits than its factorization.

14422002124200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198650208 (or 198650188 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14422002124200 its reverse (242120022441), we get a palindrome (14664122146641).

The spelling of 14422002124200 in words is "fourteen trillion, four hundred twenty-two billion, two million, one hundred twenty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 121 132 150 165 200 220 242 264 275 300 330 363 440 484 550 600 605 660 726 825 968 1100 1210 1320 1452 1650 1815 2200 2420 2904 3025 3300 3630 4840 6050 6600 7260 9075 12100 14520 18150 24200 36300 72600 198650167 397300334 595950501 794600668 993250835 1191901002 1589201336 1986501670 2185151837 2383802004 2979752505 3973003340 4370303674 4767604008 4966254175 5959505010 6555455511 7946006680 8740607348 9932508350 10925759185 11919010020 13110911022 14898762525 17481214696 19865016700 21851518370 23838020040 24036670207 26221822044 29797525050 32777277555 39730033400 43703036740 48073340414 52443644088 54628795925 59595050100 65554555110 72110010621 87406073480 96146680828 109257591850 119190100200 120183351035 131109110220 144220021242 163886387775 192293361656 218515183700 240366702070 262218220440 288440042484 327772775550 360550053105 437030367400 480733404140 576880084968 600916755175 655545551100 721100106210 961466808280 1201833510350 1311091102200 1442200212420 1802750265525 2403667020700 2884400424840 3605500531050 4807334041400 7211001062100 14422002124200