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114344545443411 = 33171101670325579
BaseRepresentation
bin11001111111111011101010…
…000000110101111001010011
3112222212020020222021111102210
4121333323222000311321103
5104441410112113142121
61043105054202243203
733041056300465623
oct3177735200657123
9488766228244383
10114344545443411
1133485281a45aa8
12109a88a4ab6503
134ba584b8a5c1a
14203443c528883
15d3456d92b876
hex67feea035e53

114344545443411 has 64 divisors (see below), whose sum is σ = 161204508426240. Its totient is φ = 71997977520000.

The previous prime is 114344545443347. The next prime is 114344545443481.

114344545443411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 114344545443411 - 26 = 114344545443347 is a prime.

It is a super-3 number, since 3×1143445454434113 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (114344545443481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4470238020 + ... + 4470263598.

It is an arithmetic number, because the mean of its divisors is an integer number (2518820444160).

Almost surely, 2114344545443411 is an apocalyptic number.

114344545443411 is a deficient number, since it is larger than the sum of its proper divisors (46859962982829).

114344545443411 is a wasteful number, since it uses less digits than its factorization.

114344545443411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32488.

The product of its digits is 3686400, while the sum is 48.

The spelling of 114344545443411 in words is "one hundred fourteen trillion, three hundred forty-four billion, five hundred forty-five million, four hundred forty-three thousand, four hundred eleven".

Divisors: 1 3 31 71 93 101 213 303 2201 3131 6603 6703 7171 9393 20109 21513 25579 76737 207793 222301 475913 623379 666903 677003 792949 1427739 1816109 2031009 2378847 2583479 5448327 7750437 14753303 20987093 44259909 48067213 56299379 62961279 80087849 144201639 168898137 171456037 183427009 240263547 514368111 550281027 1490083603 4470250809 5315137147 5686237279 12173378627 15945411441 17058711837 17317059737 36520135881 51951179211 377374737437 536828851847 1132124212311 1229511241327 1610486555541 3688533723981 38114848481137 114344545443411