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13142441214 = 233724966909
BaseRepresentation
bin11000011110101100…
…11011110011111110
31020220220211012002000
430033112123303332
5203403431104324
610012040043130
7643452623100
oct141726336376
936826735060
1013142441214
115634624671
1226694634a6
131315a55246
148c9647570
1551dbdb9c9
hex30f59bcfe

13142441214 has 48 divisors (see below), whose sum is σ = 33973664400. Its totient is φ = 3754982448.

The previous prime is 13142441197. The next prime is 13142441237. The reversal of 13142441214 is 41214424131.

13142441214 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 2 + 441 + 214 = 666.

It is a super-2 number, since 2×131424412142 (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2480809 + ... + 2486100.

It is an arithmetic number, because the mean of its divisors is an integer number (707784675).

Almost surely, 213142441214 is an apocalyptic number.

13142441214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13142441214 is an abundant number, since it is smaller than the sum of its proper divisors (20831223186).

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

13142441214 is a wasteful number, since it uses less digits than its factorization.

13142441214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4966934 (or 4966921 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 13142441214 its reverse (41214424131), we get a palindrome (54356865345).

The spelling of 13142441214 in words is "thirteen billion, one hundred forty-two million, four hundred forty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 4966909 9933818 14900727 29801454 34768363 44702181 69536726 89404362 104305089 134106543 208610178 243378541 268213086 312915267 486757082 625830534 730135623 938745801 1460271246 1877491602 2190406869 4380813738 6571220607 13142441214