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14332145205323 = 11174113721164667
BaseRepresentation
bin1101000010001111011001…
…1011001000000001001011
31212202010202211201121100202
43100203312123020001023
53334304213133032243
650252032511322415
73006314630123621
oct320436633100113
955663684647322
1014332145205323
11462625736a480
1217357ba52040b
137cc6917026ba
143779728b1511
1519cc2a6cc4b8
hexd08f66c804b

14332145205323 has 64 divisors (see below), whose sum is σ = 17163561816576. Its totient is φ = 11819910144000.

The previous prime is 14332145205281. The next prime is 14332145205337. The reversal of 14332145205323 is 32350254123341.

It is not a de Polignac number, because 14332145205323 - 214 = 14332145188939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14332145805323) 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 63 ways as a sum of consecutive naturals, for example, 221597636 + ... + 221662302.

It is an arithmetic number, because the mean of its divisors is an integer number (268180653384).

Almost surely, 214332145205323 is an apocalyptic number.

14332145205323 is a deficient number, since it is larger than the sum of its proper divisors (2831416611253).

14332145205323 is a wasteful number, since it uses less digits than its factorization.

14332145205323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65084.

The product of its (nonzero) digits is 259200, while the sum is 38.

Adding to 14332145205323 its reverse (32350254123341), we get a palindrome (46682399328664).

The spelling of 14332145205323 in words is "fourteen trillion, three hundred thirty-two billion, one hundred forty-five million, two hundred five thousand, three hundred twenty-three".

Divisors: 1 11 17 41 137 187 211 451 697 1507 2321 2329 3587 5617 7667 8651 25619 28907 39457 61787 64667 95161 95489 147067 317977 491419 711337 1050379 1099339 1185187 1617737 2651347 5405609 8859379 12092729 13037057 13644737 20148179 29164817 45072899 97453169 150092107 150609443 221629969 231960529 363234539 495801889 559434217 1656703873 1869328969 2551565819 3995579929 6153776387 6174987163 9510381689 20562618659 31778592473 67924858793 76642487729 104614198579 349564517203 843067365019 1302922291393 14332145205323