Search a number
-
+
14300414315 = 51119291493167
BaseRepresentation
bin11010101000101111…
…10000000101101011
31100220121202022112122
431110113300011223
5213241401224230
610323003301455
71014243342005
oct152427600553
940817668478
1014300414315
116079235a30
12293121a88b
13146b923425
14999357375
1558a6c4be5
hex3545f016b

14300414315 has 64 divisors (see below), whose sum is σ = 20528640000. Its totient is φ = 9446330880.

The previous prime is 14300414279. The next prime is 14300414327. The reversal of 14300414315 is 51341400341.

It is a happy number.

14300414315 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14300414315 - 210 = 14300413291 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 4513862 + ... + 4517028.

It is an arithmetic number, because the mean of its divisors is an integer number (320760000).

Almost surely, 214300414315 is an apocalyptic number.

14300414315 is a deficient number, since it is larger than the sum of its proper divisors (6228225685).

14300414315 is a wasteful number, since it uses less digits than its factorization.

14300414315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 14300414315 its reverse (51341400341), we get a palindrome (65641814656).

The spelling of 14300414315 in words is "fourteen billion, three hundred million, four hundred fourteen thousand, three hundred fifteen".

Divisors: 1 5 11 19 29 55 95 145 149 209 319 551 745 1045 1595 1639 2755 2831 3167 4321 6061 8195 14155 15835 21605 30305 31141 34837 47531 60173 82099 91843 155705 174185 237655 300865 410495 459215 471883 661903 903089 1010273 1745017 2359415 3309515 4515445 5051365 5190713 8725085 8965777 13684607 19195187 25953565 44828885 68423035 95975935 98623547 150530677 260007533 493117735 752653385 1300037665 2860082863 14300414315