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4041442314 = 2327138572879
BaseRepresentation
bin1111000011100011…
…1000010000001010
3101102122200112121200
43300320320100022
531234102123224
61505010045030
7202102456440
oct36070702012
911378615550
104041442314
11179431a478
12949579776
134c53a18b0
142a4a60b90
15189c0e5c9
hexf0e3840a

4041442314 has 96 divisors (see below), whose sum is σ = 10793502720. Its totient is φ = 1064261376.

The previous prime is 4041442297. The next prime is 4041442331. The reversal of 4041442314 is 4132441404.

It is an interprime number because it is at equal distance from previous prime (4041442297) and next prime (4041442331).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1402327 + ... + 1405205.

It is an arithmetic number, because the mean of its divisors is an integer number (112432320).

Almost surely, 24041442314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4041442314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5396751360).

4041442314 is an abundant number, since it is smaller than the sum of its proper divisors (6752060406).

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

4041442314 is a wasteful number, since it uses less digits than its factorization.

4041442314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3764 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4041442314 is about 63572.3392207649. The cubic root of 4041442314 is about 1592.8643585822.

Adding to 4041442314 its reverse (4132441404), we get a palindrome (8173883718).

It can be divided in two parts, 40414 and 42314, that added together give a palindrome (82728).

The spelling of 4041442314 in words is "four billion, forty-one million, four hundred forty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 857 1638 1714 2571 2879 5142 5758 5999 7713 8637 11141 11998 15426 17274 17997 20153 22282 25911 33423 35994 37427 40306 51822 53991 60459 66846 74854 77987 100269 107982 112281 120918 155974 181377 200538 224562 233961 261989 336843 362754 467922 523978 673686 701883 785967 1403766 1571934 2357901 2467303 4715802 4934606 7401909 14803818 17271121 22205727 32074939 34542242 44411454 51813363 64149878 96224817 103626726 155440089 192449634 224524573 288674451 310880178 449049146 577348902 673573719 1347147438 2020721157 4041442314