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14164316531310 = 23511419463110629
BaseRepresentation
bin1100111000011110001100…
…0011100010101001101110
31212011002120120110121112110
43032013203003202221232
53324032010013000220
650042555220344450
72661223653001131
oct316074303425156
955132516417473
1014164316531310
1145710644676a0
121709180b45126
137b98c657a6ba
1436d7b1370218
151986a67d7be0
hexce1e30e2a6e

14164316531310 has 128 divisors (see below), whose sum is σ = 37993620188160. Its totient is φ = 3349638835200.

The previous prime is 14164316531227. The next prime is 14164316531317. The reversal of 14164316531310 is 1313561346141.

14164316531310 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 2×141643165313102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14164316531317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127979076 + ... + 128089704.

It is an arithmetic number, because the mean of its divisors is an integer number (296825157720).

Almost surely, 214164316531310 is an apocalyptic number.

14164316531310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14164316531310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18996810094080).

14164316531310 is an abundant number, since it is smaller than the sum of its proper divisors (23829303656850).

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

14164316531310 is a wasteful number, since it uses less digits than its factorization.

14164316531310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120154.

The product of its (nonzero) digits is 77760, while the sum is 39.

Adding to 14164316531310 its reverse (1313561346141), we get a palindrome (15477877877451).

The spelling of 14164316531310 in words is "fourteen trillion, one hundred sixty-four billion, three hundred sixteen million, five hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 82 110 123 165 205 246 330 410 451 615 902 1230 1353 2255 2706 4510 6765 9463 13530 18926 28389 47315 56778 94630 104093 110629 141945 208186 221258 283890 312279 331887 387983 520465 553145 624558 663774 775966 1040930 1106290 1163949 1216919 1561395 1659435 1939915 2327898 2433838 3122790 3318870 3650757 3879830 4267813 4535789 5819745 6084595 7301514 8535626 9071578 11639490 12169190 12803439 13607367 18253785 21339065 22678945 25606878 27214734 36507570 42678130 45357890 49893679 64017195 68036835 99787358 128034390 136073670 149681037 249468395 299362074 498936790 748405185 1046882227 1496810370 2093764454 3140646681 5234411135 6281293362 10468822270 11515704497 15703233405 23031408994 31406466810 34547113491 42922171307 57578522485 69094226982 85844342614 115157044970 128766513921 172735567455 214610856535 257533027842 345471134910 429221713070 472143884377 643832569605 944287768754 1287665139210 1416431653131 2360719421885 2832863306262 4721438843770 7082158265655 14164316531310