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4140535014 = 2327114676397
BaseRepresentation
bin1111011011001011…
…1000110011100110
3101200120010222020200
43312302320303212
531434434110024
61522510011330
7204414652440
oct36662706346
911616128220
104140535014
111835251270
129767a6b46
1350ca88425
142b3c97490
151937852c9
hexf6cb8ce6

4140535014 has 96 divisors (see below), whose sum is σ = 11210524416. Its totient is φ = 1072992960.

The previous prime is 4140534989. The next prime is 4140535027. The reversal of 4140535014 is 4105350414.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 644064 + ... + 650460.

It is an arithmetic number, because the mean of its divisors is an integer number (116776296).

Almost surely, 24140535014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4140535014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5605262208).

4140535014 is an abundant number, since it is smaller than the sum of its proper divisors (7069989402).

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

4140535014 is a wasteful number, since it uses less digits than its factorization.

4140535014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6890 (or 6887 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4140535014 is about 64346.9891603329. The cubic root of 4140535014 is about 1605.7779394662. Note that the first 3 decimals are identical.

Adding to 4140535014 its reverse (4105350414), we get a palindrome (8245885428).

The spelling of 4140535014 in words is "four billion, one hundred forty million, five hundred thirty-five thousand, fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 467 693 934 1386 1401 2802 3269 4203 5137 6397 6538 8406 9807 10274 12794 15411 19191 19614 29421 30822 35959 38382 44779 46233 57573 58842 70367 71918 89558 92466 107877 115146 134337 140734 211101 215754 268674 323631 403011 422202 492569 633303 647262 806022 985138 1266606 1477707 2955414 2987399 4433121 5974798 8866242 8962197 17924394 20911793 26886591 32861389 41823586 53773182 62735379 65722778 98584167 125470758 188206137 197168334 230029723 295752501 376412274 460059446 591505002 690089169 1380178338 2070267507 4140535014