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134442321424411 = 711213210135925903
BaseRepresentation
bin11110100100011001001010…
…110011111011000000011011
3122122000120010112111110211011
4132210121022303323000123
5120110200333241040121
61153533541055114351
740214065024611610
oct3644311263730033
9578016115443734
10134442321424411
11399237395a3800
12130b39a55129b7
135a02b199a8200
14252b0862b6507
1510822476387e1
hex7a464acfb01b

134442321424411 has 144 divisors (see below), whose sum is σ = 185209057474560. Its totient is φ = 95473943136000.

The previous prime is 134442321424399. The next prime is 134442321424421. The reversal of 134442321424411 is 114424123244431.

It is a happy number.

It is not a de Polignac number, because 134442321424411 - 27 = 134442321424283 is a prime.

It is not an unprimeable number, because it can be changed into a prime (134442321424421) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5190209086 + ... + 5190234988.

It is an arithmetic number, because the mean of its divisors is an integer number (1286174010240).

Almost surely, 2134442321424411 is an apocalyptic number.

134442321424411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134442321424411 is a deficient number, since it is larger than the sum of its proper divisors (50766736050149).

134442321424411 is a wasteful number, since it uses less digits than its factorization.

134442321424411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26418 (or 26394 counting only the distinct ones).

The product of its digits is 294912, while the sum is 40.

Adding to 134442321424411 its reverse (114424123244431), we get a palindrome (248866444668842).

The spelling of 134442321424411 in words is "one hundred thirty-four trillion, four hundred forty-two billion, three hundred twenty-one million, four hundred twenty-four thousand, four hundred eleven".

Divisors: 1 7 11 13 77 91 101 121 143 169 359 707 847 1001 1111 1183 1313 1573 1859 2513 3949 4667 7777 9191 11011 12221 13013 14443 17069 20449 25903 27643 32669 36259 43439 51337 60671 85547 101101 119483 143143 158873 181321 187759 253813 284933 304073 336739 359359 398849 424697 471367 564707 667381 1112111 1314313 1994531 2065349 2357173 2616203 2791943 3134263 3299569 3704129 3952949 4377607 4387339 4671667 5185037 6127771 7341191 9299177 14457443 18313421 21939841 25928903 28778233 30643249 30711373 34010639 36295259 40745419 42894397 48153677 51388337 57035407 65094239 67405481 102290947 120889301 201447631 238074473 285217933 316560563 337075739 374117029 399247849 442138307 471838367 529690447 716036629 741460291 846225107 939216877 1125200417 1329782311 1571560913 2215923941 2618819203 3094968149 3707833129 4115287319 4863521377 5190222037 6574518139 7876402919 9308476177 10331385647 11000926391 12209819401 14627605421 17287170043 28807011233 34044649639 53498735147 72319699529 85468735807 102393237947 113645242117 121010190301 134308013411 158727652213 190158870473 374491146029 795516694819 940156093877 1111093565491 1331112093311 1477388147521 1746004174343 10341717032647 12222029220401 19206045917773 134442321424411