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14003521244400 = 2435258733198689
BaseRepresentation
bin1100101111000111001011…
…1010001100110011110000
31211120201112110202200222210
43023301302322030303300
53313413202414310100
645441043455332120
72643502211421162
oct313616272146360
954521473680883
1014003521244400
114509950742726
1216a1b86b21040
137a76ac61b20c
14365ab9d9a932
151943e5104c50
hexcbc72e8ccf0

14003521244400 has 120 divisors (see below), whose sum is σ = 44858935920240. Its totient is φ = 3734189957120.

The previous prime is 14003521244381. The next prime is 14003521244429. The reversal of 14003521244400 is 444212530041.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70380256 + ... + 70578944.

It is an arithmetic number, because the mean of its divisors is an integer number (373824466002).

Almost surely, 214003521244400 is an apocalyptic number.

14003521244400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14003521244400 is an abundant number, since it is smaller than the sum of its proper divisors (30855414675840).

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

14003521244400 is a wasteful number, since it uses less digits than its factorization.

14003521244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257443 (or 257432 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 14003521244400 its reverse (444212530041), we get a palindrome (14447733774441).

The spelling of 14003521244400 in words is "fourteen trillion, three billion, five hundred twenty-one million, two hundred forty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 58733 117466 176199 198689 234932 293665 352398 397378 469864 587330 596067 704796 794756 880995 939728 993445 1174660 1192134 1409592 1468325 1589512 1761990 1986890 2349320 2384268 2819184 2936650 2980335 3179024 3523980 3973780 4404975 4698640 4768536 4967225 5873300 5960670 7047960 7947560 8809950 9537072 9934450 11746600 11921340 14095920 14901675 15895120 17619900 19868900 23493200 23842680 29803350 35239800 39737800 47685360 59606700 70479600 79475600 119213400 238426800 11669601037 23339202074 35008803111 46678404148 58348005185 70017606222 93356808296 116696010370 140035212444 175044015555 186713616592 233392020740 280070424888 291740025925 350088031110 466784041480 560140849776 583480051850 700176062220 875220077775 933568082960 1166960103700 1400352124440 1750440155550 2333920207400 2800704248880 3500880311100 4667840414800 7001760622200 14003521244400