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14311423312224 = 253732577946129
BaseRepresentation
bin1101000001000010001101…
…0011011000000101100000
31212200011021200211100221120
43100100203103120011200
53333434243331442344
650234324353252240
73004652261003253
oct320204323300540
955604250740846
1014311423312224
1146184933a8495
121731796864080
137ca73b5c16ac
1437696879309a
1519c4163b7219
hexd04234d8160

14311423312224 has 96 divisors (see below), whose sum is σ = 38230293517920. Its totient is φ = 4686817001472.

The previous prime is 14311423312223. The next prime is 14311423312231. The reversal of 14311423312224 is 42221332411341.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14311423312223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2172009 + ... + 5774120.

It is an arithmetic number, because the mean of its divisors is an integer number (398232224145).

Almost surely, 214311423312224 is an apocalyptic number.

It is an amenable number.

14311423312224 is an abundant number, since it is smaller than the sum of its proper divisors (23918870205696).

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

14311423312224 is a wasteful number, since it uses less digits than its factorization.

14311423312224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7946472 (or 7946464 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

Adding to 14311423312224 its reverse (42221332411341), we get a palindrome (56532755723565).

The spelling of 14311423312224 in words is "fourteen trillion, three hundred eleven billion, four hundred twenty-three million, three hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 257 292 438 514 584 771 876 1028 1168 1542 1752 2056 2336 3084 3504 4112 6168 7008 8224 12336 18761 24672 37522 56283 75044 112566 150088 225132 300176 450264 600352 900528 1801056 7946129 15892258 23838387 31784516 47676774 63569032 95353548 127138064 190707096 254276128 381414192 580067417 762828384 1160134834 1740202251 2042155153 2320269668 3480404502 4084310306 4640539336 6126465459 6960809004 8168620612 9281078672 12252930918 13921618008 16337241224 18562157344 24505861836 27843236016 32674482448 49011723672 55686472032 65348964896 98023447344 149077326169 196046894688 298154652338 447231978507 596309304676 894463957014 1192618609352 1788927914028 2385237218704 3577855828056 4770474437408 7155711656112 14311423312224