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14140758128 = 2473123917041
BaseRepresentation
bin11010010101101101…
…01101100001110000
31100111111022221102112
431022312231201300
5212430013230003
610255101304452
71010264314040
oct151266554160
940444287375
1014140758128
115aa70a8972
1228a7865128
131444823303
14982077720
1557b6893d8
hex34adad870

14140758128 has 80 divisors (see below), whose sum is σ = 32458874880. Its totient is φ = 5839948800.

The previous prime is 14140758119. The next prime is 14140758131. The reversal of 14140758128 is 82185704141.

14140758128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×141407581282 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 821288 + ... + 838328.

It is an arithmetic number, because the mean of its divisors is an integer number (405735936).

Almost surely, 214140758128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14140758128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16229437440).

14140758128 is an abundant number, since it is smaller than the sum of its proper divisors (18318116752).

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

14140758128 is a wasteful number, since it uses less digits than its factorization.

14140758128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17326 (or 17320 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 41.

The spelling of 14140758128 in words is "fourteen billion, one hundred forty million, seven hundred fifty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 239 248 434 478 496 868 956 1673 1736 1912 3346 3472 3824 6692 7409 13384 14818 17041 26768 29636 34082 51863 59272 68164 103726 118544 119287 136328 207452 238574 272656 414904 477148 528271 829808 954296 1056542 1908592 2113084 3697897 4072799 4226168 7395794 8145598 8452336 14791588 16291196 28509593 29583176 32582392 57019186 59166352 65164784 114038372 126256769 228076744 252513538 456153488 505027076 883797383 1010054152 1767594766 2020108304 3535189532 7070379064 14140758128