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4115445114 = 2311314742797
BaseRepresentation
bin1111010101001100…
…1011010101111010
3101121210221021101010
43311103023111322
531412023220424
61520212134350
7203661464154
oct36523132572
911553837333
104115445114
111822074910
1296a3073b6
13507812331
142b0805ad4
1519147b229
hexf54cb57a

4115445114 has 64 divisors (see below), whose sum is σ = 9466232832. Its totient is φ = 1181169600.

The previous prime is 4115445109. The next prime is 4115445127.

4115445114 is nontrivially palindromic in base 10.

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 31 ways as a sum of consecutive naturals, for example, 74764 + ... + 117560.

It is an arithmetic number, because the mean of its divisors is an integer number (147909888).

Almost surely, 24115445114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4115445114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4733116416).

4115445114 is an abundant number, since it is smaller than the sum of its proper divisors (5350787718).

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

4115445114 is a wasteful number, since it uses less digits than its factorization.

4115445114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42891.

The product of its digits is 6400, while the sum is 30.

The square root of 4115445114 is about 64151.7350817575. The cubic root of 4115445114 is about 1602.5279197954.

It can be divided in two parts, 41154 and 45114, that added together give a palindrome (86268).

The spelling of 4115445114 in words is "four billion, one hundred fifteen million, four hundred forty-five thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 22 31 33 47 62 66 93 94 141 186 282 341 517 682 1023 1034 1457 1551 2046 2914 3102 4371 8742 16027 32054 42797 48081 85594 96162 128391 256782 470767 941534 1326707 1412301 2011459 2653414 2824602 3980121 4022918 6034377 7960242 12068754 14593777 22126049 29187554 43781331 44252098 62355229 66378147 87562662 124710458 132756294 187065687 374131374 685907519 1371815038 2057722557 4115445114