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14463512120544 = 253672248680367
BaseRepresentation
bin1101001001111000110010…
…0000001000110011100000
31220012200212000202100011020
43102132030200020303200
53343432233100324134
650432240140245440
73021645212356554
oct322361440106340
956180760670136
1014463512120544
114676a39590203
121757160b40880
1380bb988408b6
14380075719864
151a136854cb49
hexd278c808ce0

14463512120544 has 48 divisors (see below), whose sum is σ = 38533386786048. Its totient is φ = 4749212932992.

The previous prime is 14463512120501. The next prime is 14463512120567. The reversal of 14463512120544 is 44502121536441.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×144635121205442 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14463512120496 and 14463512120505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1124333752 + ... + 1124346615.

It is an arithmetic number, because the mean of its divisors is an integer number (802778891376).

Almost surely, 214463512120544 is an apocalyptic number.

It is an amenable number.

14463512120544 is an abundant number, since it is smaller than the sum of its proper divisors (24069874665504).

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

14463512120544 is a wasteful number, since it uses less digits than its factorization.

14463512120544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248680447 (or 2248680439 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

Adding to 14463512120544 its reverse (44502121536441), we get a palindrome (58965633656985).

The spelling of 14463512120544 in words is "fourteen trillion, four hundred sixty-three billion, five hundred twelve million, one hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 2144 3216 6432 2248680367 4497360734 6746041101 8994721468 13492082202 17989442936 26984164404 35978885872 53968328808 71957771744 107936657616 150661584589 215873315232 301323169178 451984753767 602646338356 903969507534 1205292676712 1807939015068 2410585353424 3615878030136 4821170706848 7231756060272 14463512120544