Search a number
-
+
14064759744 = 263710464851
BaseRepresentation
bin11010001100101001…
…10011001111000000
31100022012022211020120
431012110303033000
5212301034302434
610243344340240
71005352325310
oct150624631700
940265284216
1014064759744
115a68210192
122886314680
131431b64459
14975d33440
15574b76349
hex3465333c0

14064759744 has 56 divisors (see below), whose sum is σ = 42529158528. Its totient is φ = 4018502400.

The previous prime is 14064759743. The next prime is 14064759767. The reversal of 14064759744 is 44795746041.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14064759743) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5231082 + ... + 5233769.

Almost surely, 214064759744 is an apocalyptic number.

14064759744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14064759744 is an abundant number, since it is smaller than the sum of its proper divisors (28464398784).

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

14064759744 is a wasteful number, since it uses less digits than its factorization.

14064759744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10464873 (or 10464863 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 14064759744 in words is "fourteen billion, sixty-four million, seven hundred fifty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 10464851 20929702 31394553 41859404 62789106 73253957 83718808 125578212 146507914 167437616 219761871 251156424 293015828 334875232 439523742 502312848 586031656 669750464 879047484 1004625696 1172063312 1758094968 2009251392 2344126624 3516189936 4688253248 7032379872 14064759744