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14503144014 = 2337110735353
BaseRepresentation
bin11011000000111010…
…00110101001001110
31101102202020001102000
431200131012221032
5214200301102024
610355044413130
71022254455462
oct154035065116
941382201360
1014503144014
116172712837
1229890a71a6
1314a1925028
149b824a4a2
1559d3bccc9
hex360746a4e

14503144014 has 64 divisors (see below), whose sum is σ = 32989524480. Its totient is φ = 4721613120.

The previous prime is 14503143997. The next prime is 14503144039. The reversal of 14503144014 is 41044130541.

14503144014 is a `hidden beast` number, since 1 + 4 + 503 + 144 + 0 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392562 + ... + 427914.

It is an arithmetic number, because the mean of its divisors is an integer number (515461320).

Almost surely, 214503144014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14503144014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16494762240).

14503144014 is an abundant number, since it is smaller than the sum of its proper divisors (18486380466).

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

14503144014 is a wasteful number, since it uses less digits than its factorization.

14503144014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35542 (or 35536 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 14503144014 its sum of digits (27), we get a square (14503144041 = 1204292).

Adding to 14503144014 its reverse (41044130541), we get a palindrome (55547274555).

The spelling of 14503144014 in words is "fourteen billion, five hundred three million, one hundred forty-four thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 71 107 142 213 214 321 426 639 642 963 1278 1917 1926 2889 3834 5778 7597 15194 22791 35353 45582 68373 70706 106059 136746 205119 212118 318177 410238 636354 954531 1909062 2510063 3782771 5020126 7530189 7565542 11348313 15060378 22590567 22696626 34044939 45181134 67771701 68089878 102134817 135543402 204269634 268576741 537153482 805730223 1611460446 2417190669 4834381338 7251572007 14503144014