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14023044311200 = 2552372272087011
BaseRepresentation
bin1100110000001111111010…
…0100110010100010100000
31211122120221001212020212221
43030003332210302202200
53314223143320424300
645454033030400424
72645063052642241
oct314037644624240
954576831766787
1014023044311200
114517159a2a781
1216a5915200114
137a94a1259052
14366a0cbb2cc8
15194b8906231a
hexcc0fe9328a0

14023044311200 has 144 divisors (see below), whose sum is σ = 35313895953504. Its totient is φ = 5433572275200.

The previous prime is 14023044311179. The next prime is 14023044311203. The reversal of 14023044311200 is 211344032041.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (14023044311203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5675695 + ... + 7762705.

It is an arithmetic number, because the mean of its divisors is an integer number (245235388566).

Almost surely, 214023044311200 is an apocalyptic number.

14023044311200 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 14023044311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17656947976752).

14023044311200 is an abundant number, since it is smaller than the sum of its proper divisors (21290851642304).

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

14023044311200 is a wasteful number, since it uses less digits than its factorization.

14023044311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087295 (or 2087282 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 14023044311200 its reverse (211344032041), we get a palindrome (14234388343241).

The spelling of 14023044311200 in words is "fourteen trillion, twenty-three billion, forty-four million, three hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 148 160 185 200 227 296 370 400 454 592 740 800 908 925 1135 1184 1480 1816 1850 2270 2960 3632 3700 4540 5675 5920 7264 7400 8399 9080 11350 14800 16798 18160 22700 29600 33596 36320 41995 45400 67192 83990 90800 134384 167980 181600 209975 268768 335960 419950 671920 839900 1343840 1679800 2087011 3359600 4174022 6719200 8348044 10435055 16696088 20870110 33392176 41740220 52175275 66784352 77219407 83480440 104350550 154438814 166960880 208701100 308877628 333921760 386097035 417402200 473751497 617755256 772194070 834804400 947502994 1235510512 1544388140 1669608800 1895005988 1930485175 2368757485 2471021024 3088776280 3790011976 3860970350 4737514970 6177552560 7580023952 7721940700 9475029940 11843787425 12355105120 15160047904 15443881400 17528805389 18950059880 23687574850 30887762800 35057610778 37900119760 47375149700 61775525600 70115221556 75800239520 87644026945 94750299400 140230443112 175288053890 189500598800 280460886224 350576107780 379001197600 438220134725 560921772448 701152215560 876440269450 1402304431120 1752880538900 2804608862240 3505761077800 7011522155600 14023044311200