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14013300015 = 325111321271319
BaseRepresentation
bin11010000110100000…
…11111110100101111
31100011121111101202200
431003100133310233
5212144401100030
610234305352543
71004156041041
oct150320376457
940147441680
1014013300015
115a41162790
122871038753
1314242b7800
1496d179a91
155703add60
hex34341fd2f

14013300015 has 144 divisors (see below), whose sum is σ = 28940820480. Its totient is φ = 6217585920.

The previous prime is 14013300013. The next prime is 14013300023. The reversal of 14013300015 is 51000331041.

It is not a de Polignac number, because 14013300015 - 21 = 14013300013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14013300013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10623526 + ... + 10624844.

It is an arithmetic number, because the mean of its divisors is an integer number (200977920).

Almost surely, 214013300015 is an apocalyptic number.

14013300015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14013300015 is an abundant number, since it is smaller than the sum of its proper divisors (14927520465).

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

14013300015 is a wasteful number, since it uses less digits than its factorization.

14013300015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 14013300015 its reverse (51000331041), we get a palindrome (65013631056).

It can be divided in two parts, 14013 and 300015, that added together give a triangular number (314028 = T792).

The spelling of 14013300015 in words is "fourteen billion, thirteen million, three hundred thousand, fifteen".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 127 143 165 169 195 381 429 495 507 585 635 715 845 1143 1287 1319 1397 1521 1651 1859 1905 2145 2535 3957 4191 4953 5577 5715 6435 6595 6985 7605 8255 9295 11871 12573 14509 14859 16731 17147 18161 19785 20955 21463 24765 27885 43527 51441 54483 59355 62865 64389 72545 74295 83655 85735 90805 107315 130581 154323 163449 167513 188617 193167 217635 222911 236093 257205 272415 321945 502539 565851 652905 668733 708279 771615 817245 837565 943085 965835 1114555 1180465 1507617 1697553 1842643 2006199 2124837 2177669 2452021 2512695 2829255 3343665 3541395 5527929 6533007 7356063 7538085 8487765 9213215 10030995 10624185 10888345 12260105 16583787 19599021 22068189 23954359 27639645 28309697 32665035 36780315 71863077 82918935 84929091 97995105 110340945 119771795 141548485 215589231 254787273 311406667 359315385 424645455 934220001 1077946155 1273936365 1557033335 2802660003 4671100005 14013300015