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14200535111310 = 2325418893432743
BaseRepresentation
bin1100111010100101000111…
…0110011101011010001110
31212021120001201010002222100
43032221101312131122032
53330130143442030220
650111345154255530
72663645332565622
oct316512166353216
955246051102870
1014200535111310
11458545a954939
1217141aa5875a6
137c014909c822
14371449645182
151995c6323d90
hexcea51d9d68e

14200535111310 has 96 divisors (see below), whose sum is σ = 37826253436608. Its totient is φ = 3694024189440.

The previous prime is 14200535111263. The next prime is 14200535111387. The reversal of 14200535111310 is 1311153500241.

14200535111310 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 0 + 535 + 1 + 113 + 10 = 666.

It is a super-2 number, since 2×142005351113102 (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, 32598799 + ... + 33031541.

It is an arithmetic number, because the mean of its divisors is an integer number (394023473298).

Almost surely, 214200535111310 is an apocalyptic number.

14200535111310 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 14200535111310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18913126718304).

14200535111310 is an abundant number, since it is smaller than the sum of its proper divisors (23625718325298).

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

14200535111310 is a wasteful number, since it uses less digits than its factorization.

14200535111310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441690 (or 441687 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 14200535111310 its reverse (1311153500241), we get a palindrome (15511688611551).

The spelling of 14200535111310 in words is "fourteen trillion, two hundred billion, five hundred thirty-five million, one hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 8893 17786 26679 44465 53358 80037 88930 133395 160074 266790 364613 400185 432743 729226 800370 865486 1093839 1298229 1823065 2163715 2187678 2596458 3281517 3646130 3894687 4327430 5469195 6491145 6563034 7789374 10938390 12982290 16407585 17742463 19473435 32815170 35484926 38946870 53227389 88712315 106454778 159682167 177424630 266136945 319364334 532273890 798410835 1596821670 3848383499 7696766998 11545150497 19241917495 23090300994 34635451491 38483834990 57725752485 69270902982 115451504970 157783723459 173177257455 315567446918 346354514910 473351170377 788918617295 946702340754 1420053511131 1577837234590 2366755851885 2840107022262 4733511703770 7100267555655 14200535111310