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14197149376 = 264147115117
BaseRepresentation
bin11010011100011011…
…10100111011000000
31100122102102220200021
431032031310323000
5213033432240001
610304434103224
71011550531024
oct151615647300
940572386607
1014197149376
116025a14503
12290271ab14
131453408807
14989756384
155815c7ba1
hex34e374ec0

14197149376 has 56 divisors (see below), whose sum is σ = 29473891776. Its totient is φ = 6778030080.

The previous prime is 14197149359. The next prime is 14197149377. The reversal of 14197149376 is 67394179141.

14197149376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14197149377) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 65770 + ... + 180886.

It is an arithmetic number, because the mean of its divisors is an integer number (526319496).

Almost surely, 214197149376 is an apocalyptic number.

14197149376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14197149376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14736945888).

14197149376 is an abundant number, since it is smaller than the sum of its proper divisors (15276742400).

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

14197149376 is a wasteful number, since it uses less digits than its factorization.

14197149376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115217 (or 115207 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 52.

The spelling of 14197149376 in words is "fourteen billion, one hundred ninety-seven million, one hundred forty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 41 47 64 82 94 164 188 328 376 656 752 1312 1504 1927 2624 3008 3854 7708 15416 30832 61664 115117 123328 230234 460468 920936 1841872 3683744 4719797 5410499 7367488 9439594 10820998 18879188 21641996 37758376 43283992 75516752 86567984 151033504 173135968 221830459 302067008 346271936 443660918 887321836 1774643672 3549287344 7098574688 14197149376