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14431031324145 = 345193191844411
BaseRepresentation
bin1101000111111111110001…
…1111101110110111110001
31220002121000101101220220000
43101333330133232313301
53342414223004333040
650405305124140213
73016415260223262
oct321777437566761
956077011356800
1014431031324145
114664190a6a117
1217509b7237669
13808ac0511147
1437c673a1c969
151a05b6c3d130
hexd1ffc7eedf1

14431031324145 has 40 divisors (see below), whose sum is σ = 25870312923840. Its totient is φ = 7696147474080.

The previous prime is 14431031324107. The next prime is 14431031324233. The reversal of 14431031324145 is 54142313013441.

14431031324145 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 103 + 132 + 414 + 5 = 666.

It is not a de Polignac number, because 14431031324145 - 226 = 14430964215281 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6901990 + ... + 8746400.

It is an arithmetic number, because the mean of its divisors is an integer number (646757823096).

Almost surely, 214431031324145 is an apocalyptic number.

14431031324145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14431031324145 is a deficient number, since it is larger than the sum of its proper divisors (11439281599695).

14431031324145 is a wasteful number, since it uses less digits than its factorization.

14431031324145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863747 (or 1863738 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 14431031324145 its reverse (54142313013441), we get a palindrome (68573344337586).

The spelling of 14431031324145 in words is "fourteen trillion, four hundred thirty-one billion, thirty-one million, three hundred twenty-four thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 19319 57957 96595 173871 289785 521613 869355 1564839 1844411 2608065 5533233 7824195 9222055 16599699 27666165 49799097 82998495 149397291 248995485 746986455 35632176109 106896528327 178160880545 320689584981 534482641635 962068754943 1603447924905 2886206264829 4810343774715 14431031324145