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4140314010 = 232577398893
BaseRepresentation
bin1111011011001000…
…0010110110011010
3101200112201202002100
43312302002312122
531434410022020
61522501144230
7204413042220
oct36662026632
911615652070
104140314010
111835110218
129766bb076
1350ca0b961
142b3c3ab10
1519373ea90
hexf6c82d9a

4140314010 has 96 divisors (see below), whose sum is σ = 12320680320. Its totient is φ = 944970624.

The previous prime is 4140313981. The next prime is 4140314033. The reversal of 4140314010 is 104130414.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 461124 + ... + 470016.

It is an arithmetic number, because the mean of its divisors is an integer number (128340420).

Almost surely, 24140314010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4140314010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6160340160).

4140314010 is an abundant number, since it is smaller than the sum of its proper divisors (8180366310).

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

4140314010 is a wasteful number, since it uses less digits than its factorization.

4140314010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9652 (or 9649 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4140314010 is about 64345.2718542707. The cubic root of 4140314010 is about 1605.7493691115.

Adding to 4140314010 its reverse (104130414), we get a palindrome (4244444424).

The spelling of 4140314010 in words is "four billion, one hundred forty million, three hundred fourteen thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 739 1478 2217 3695 4434 5173 6651 7390 8893 10346 11085 13302 15519 17786 22170 25865 26679 31038 33255 44465 46557 51730 53358 62251 66510 77595 80037 88930 93114 124502 133395 155190 160074 186753 232785 266790 311255 373506 400185 465570 560259 622510 800370 933765 1120518 1867530 2801295 5602590 6571927 13143854 19715781 32859635 39431562 46003489 59147343 65719270 92006978 98578905 118294686 138010467 197157810 230017445 276020934 295736715 414031401 460034890 591473430 690052335 828062802 1380104670 2070157005 4140314010