Search a number
-
+
14431123004116 = 22713257154264367
BaseRepresentation
bin1101001000000000000111…
…1101011101101011010100
31220002121020202220202011111
43102000001331131223110
53342414414442112431
650405322201144404
73016420452413650
oct322000175355324
956077222822144
1014431123004116
114664228798695
121750a21a8b104
13808b06500950
1437c681c85a60
151a05becec7b1
hexd2001f5dad4

14431123004116 has 48 divisors (see below), whose sum is σ = 31203362244096. Its totient is φ = 5686801588224.

The previous prime is 14431123004113. The next prime is 14431123004183. The reversal of 14431123004116 is 61140032113441.

It is a super-2 number, since 2×144311230041162 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14431123004113) 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, 77038636 + ... + 77225731.

It is an arithmetic number, because the mean of its divisors is an integer number (650070046752).

Almost surely, 214431123004116 is an apocalyptic number.

It is an amenable number.

14431123004116 is an abundant number, since it is smaller than the sum of its proper divisors (16772239239980).

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

14431123004116 is a wasteful number, since it uses less digits than its factorization.

14431123004116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154264648 (or 154264646 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 14431123004116 its reverse (61140032113441), we get a palindrome (75571155117557).

The spelling of 14431123004116 in words is "fourteen trillion, four hundred thirty-one billion, one hundred twenty-three million, four thousand, one hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 257 364 514 1028 1799 3341 3598 6682 7196 13364 23387 46774 93548 154264367 308528734 617057468 1079850569 2005436771 2159701138 4010873542 4319402276 8021747084 14038057397 28076114794 39645942319 56152229588 79291884638 158583769276 277521596233 515397250147 555043192466 1030794500294 1110086384932 2061589000588 3607780751029 7215561502058 14431123004116