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14111143214310 = 23252811667334717
BaseRepresentation
bin1100110101011000000110…
…1011011011110011100110
31211222000022211111020100100
43031112001223123303212
53322144110130324220
650002323015524530
72654332166160252
oct315260153336346
954860284436310
1014111143214310
11455055851660a
1216baa01389746
137b48a125240c
1436ada93dd262
151970e3565d90
hexcd581adbce6

14111143214310 has 96 divisors (see below), whose sum is σ = 36841735468512. Its totient is φ = 3747319672320.

The previous prime is 14111143214281. The next prime is 14111143214339. The reversal of 14111143214310 is 1341234111141.

14111143214310 is a `hidden beast` number, since 1 + 4 + 1 + 11 + 14 + 321 + 4 + 310 = 666.

It is an interprime number because it is at equal distance from previous prime (14111143214281) and next prime (14111143214339).

It is a super-2 number, since 2×141111432143102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41991072 + ... + 42325788.

It is an arithmetic number, because the mean of its divisors is an integer number (383768077797).

Almost surely, 214111143214310 is an apocalyptic number.

14111143214310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14111143214310 is an abundant number, since it is smaller than the sum of its proper divisors (22730592254202).

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

14111143214310 is a wasteful number, since it uses less digits than its factorization.

14111143214310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336678 (or 336675 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 14111143214310 its reverse (1341234111141), we get a palindrome (15452377325451).

The spelling of 14111143214310 in words is "fourteen trillion, one hundred eleven billion, one hundred forty-three million, two hundred fourteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 281 562 843 1405 1667 1686 2529 2810 3334 4215 5001 5058 8335 8430 10002 12645 15003 16670 25005 25290 30006 50010 75015 150030 334717 468427 669434 936854 1004151 1405281 1673585 2008302 2342135 2810562 3012453 3347170 4215843 4684270 5020755 6024906 7026405 8431686 10041510 14052810 15062265 21079215 30124530 42158430 94055477 188110954 282166431 470277385 557973239 564332862 846499293 940554770 1115946478 1410832155 1673919717 1692998586 2789866195 2821664310 3347839434 4232496465 5021759151 5579732390 8369598585 8464992930 10043518302 16739197170 25108795755 50217591510 156790480159 313580960318 470371440477 783952400795 940742880954 1411114321431 1567904801590 2351857202385 2822228642862 4703714404770 7055571607155 14111143214310