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14530211514 = 23371317916519
BaseRepresentation
bin11011000100001000…
…10110111010111010
31101111122011020001000
431202010112322322
5214224213232024
610401452505430
71023033521460
oct154204267272
941448136030
1014530211514
116186a1aa75
12299617b276
1314a74112c0
149bba94830
155a0967cc9
hex362116eba

14530211514 has 128 divisors (see below), whose sum is σ = 39965184000. Its totient is φ = 3810504384.

The previous prime is 14530211473. The next prime is 14530211561. The reversal of 14530211514 is 41511203541.

14530211514 is a `hidden beast` number, since 1 + 4 + 530 + 2 + 115 + 14 = 666.

14530211514 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 2×145302115142 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 871347 + ... + 887865.

It is an arithmetic number, because the mean of its divisors is an integer number (312228000).

Almost surely, 214530211514 is an apocalyptic number.

14530211514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14530211514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19982592000).

14530211514 is an abundant number, since it is smaller than the sum of its proper divisors (25434972486).

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

14530211514 is a wasteful number, since it uses less digits than its factorization.

14530211514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16729 (or 16723 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

It can be divided in two parts, 145302 and 11514, that added together give a square (156816 = 3962).

The spelling of 14530211514 in words is "fourteen billion, five hundred thirty million, two hundred eleven thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 179 182 189 234 273 351 358 378 537 546 702 819 1074 1253 1611 1638 2327 2457 2506 3222 3759 4654 4833 4914 6981 7518 9666 11277 13962 16289 16519 20943 22554 32578 33038 33831 41886 48867 49557 62829 67662 97734 99114 115633 125658 146601 148671 214747 231266 293202 297342 346899 429494 439803 446013 644241 693798 879606 892026 1040697 1288482 1503229 1932723 2081394 2956901 3006458 3122091 3865446 4509687 5798169 5913802 6244182 8870703 9019374 11596338 13529061 17741406 20698307 26612109 27058122 38439713 40587183 41396614 53224218 62094921 76879426 79836327 81174366 115319139 124189842 159672654 186284763 230638278 269077991 345957417 372569526 538155982 558854289 691914834 807233973 1037872251 1117708578 1614467946 2075744502 2421701919 4843403838 7265105757 14530211514