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4111402041114 = 23311021157913711
BaseRepresentation
bin111011110101000010101…
…010000111111100011010
3112120001020200021202010220
4323311002222013330122
51014330122410303424
612424430234220510
7603016242510024
oct73650252077432
915501220252126
104111402041114
1113456aa2a4a45
12564998284736
1323a91b90a164
14102dc8807014
1571e311ec579
hex3bd42a87f1a

4111402041114 has 64 divisors (see below), whose sum is σ = 8502370222080. Its totient is φ = 1324024056000.

The previous prime is 4111402041107. The next prime is 4111402041163.

4111402041114 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299854719 + ... + 299868429.

It is an arithmetic number, because the mean of its divisors is an integer number (132849534720).

Almost surely, 24111402041114 is an apocalyptic number.

4111402041114 is an abundant number, since it is smaller than the sum of its proper divisors (4390968180966).

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

4111402041114 is a wasteful number, since it uses less digits than its factorization.

4111402041114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16347.

The product of its (nonzero) digits is 512, while the sum is 24.

The spelling of 4111402041114 in words is "four trillion, one hundred eleven billion, four hundred two million, forty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 31 62 93 186 1021 1579 2042 3063 3158 4737 6126 9474 13711 27422 31651 41133 48949 63302 82266 94953 97898 146847 189906 293694 425041 850082 1275123 1612159 2550246 3224318 4836477 9672954 13998931 21649669 27997862 41996793 43299338 49976929 64949007 83993586 99953858 129898014 149930787 299861574 433966861 671139739 867933722 1301900583 1342279478 2013419217 2603801166 4026838434 22104312049 44208624098 66312936147 132625872294 685233673519 1370467347038 2055701020557 4111402041114