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41114311014 = 23719317162529
BaseRepresentation
bin100110010010100110…
…101001100101100110
310221010022211101211210
4212102212221211212
51133200230423024
630515422212250
72653564606650
oct462246514546
9127108741753
1041114311014
1116488a58437
127b75124086
133b52ba40aa
141dc05936d0
151109748129
hex9929a9966

41114311014 has 64 divisors (see below), whose sum is σ = 99234316800. Its totient is φ = 11093511168.

The previous prime is 41114311003. The next prime is 41114311057. The reversal of 41114311014 is 41011341114.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 171702 + ... + 334230.

It is an arithmetic number, because the mean of its divisors is an integer number (1550536200).

Almost surely, 241114311014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41114311014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49617158400).

41114311014 is an abundant number, since it is smaller than the sum of its proper divisors (58120005786).

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

41114311014 is a wasteful number, since it uses less digits than its factorization.

41114311014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162877.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 41114311014 its reverse (41011341114), we get a palindrome (82125652128).

The spelling of 41114311014 in words is "forty-one billion, one hundred fourteen million, three hundred eleven thousand, fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 317 399 634 798 951 1902 2219 4438 6023 6657 12046 13314 18069 36138 42161 84322 126483 162529 252966 325058 487587 975174 1137703 2275406 3088051 3413109 6176102 6826218 9264153 18528306 21616357 43232714 51521693 64849071 103043386 129698142 154565079 309130158 360651851 721303702 978912167 1081955553 1957824334 2163911106 2936736501 5873473002 6852385169 13704770338 20557155507 41114311014