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4135445314 = 2711213187787
BaseRepresentation
bin1111011001111101…
…1110001101000010
3101200012120101111021
43312133132031002
531432133222224
61522204540054
7204323463610
oct36637361502
911605511437
104135445314
111832395300
12974b5162a
1350b9c5880
142b33306b0
151930cc1e4
hexf67de342

4135445314 has 48 divisors (see below), whose sum is σ = 8391870144. Its totient is φ = 1487265120.

The previous prime is 4135445297. The next prime is 4135445357.

4135445314 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4135445314.

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 23 ways as a sum of consecutive naturals, for example, 71872 + ... + 115915.

It is an arithmetic number, because the mean of its divisors is an integer number (174830628).

Almost surely, 24135445314 is an apocalyptic number.

4135445314 is an abundant number, since it is smaller than the sum of its proper divisors (4256424830).

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

4135445314 is a wasteful number, since it uses less digits than its factorization.

4135445314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187831 (or 187820 counting only the distinct ones).

The product of its digits is 57600, while the sum is 34.

The square root of 4135445314 is about 64307.4281401457. The cubic root of 4135445314 is about 1605.1197089829.

It can be divided in two parts, 41354 and 45314, that added together give a palindrome (86668).

The spelling of 4135445314 in words is "four billion, one hundred thirty-five million, four hundred forty-five thousand, three hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 286 847 1001 1573 1694 2002 3146 11011 22022 187787 375574 1314509 2065657 2441231 2629018 4131314 4882462 14459599 17088617 22722227 26853541 28919198 34177234 45444454 53707082 159055589 187974787 295388951 318111178 375949574 590777902 2067722657 4135445314