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5430516323441 = 11172348714591777
BaseRepresentation
bin100111100000110001111…
…1111110001010001110001
3201020011010000112100101112
41033001203333301101301
51202433144134322231
615314424511243105
71100225154063146
oct117014377612161
921204100470345
105430516323441
111804083989380
12738578b19495
13305131a46611
1414aba47983cd
15963d823392b
hex4f063ff1471

5430516323441 has 64 divisors (see below), whose sum is σ = 6567036456960. Its totient is φ = 4429752053760.

The previous prime is 5430516323437. The next prime is 5430516323447. The reversal of 5430516323441 is 1443236150345.

It is a happy number.

It is not a de Polignac number, because 5430516323441 - 22 = 5430516323437 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5430516323447) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3056001545 + ... + 3056003321.

It is an arithmetic number, because the mean of its divisors is an integer number (102609944640).

Almost surely, 25430516323441 is an apocalyptic number.

It is an amenable number.

5430516323441 is a deficient number, since it is larger than the sum of its proper divisors (1136520133519).

5430516323441 is a wasteful number, since it uses less digits than its factorization.

5430516323441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3774.

The product of its (nonzero) digits is 518400, while the sum is 41.

The spelling of 5430516323441 in words is "five trillion, four hundred thirty billion, five hundred sixteen million, three hundred twenty-three thousand, four hundred forty-one".

Divisors: 1 11 17 23 187 253 391 487 1459 1777 4301 5357 8279 11201 16049 19547 24803 30209 33557 40871 91069 123211 190417 272833 332299 369127 449581 570469 694807 710533 865399 2094587 2592643 6275159 7642877 7815863 9519389 12079061 14711783 16342259 19904177 28519073 44074931 59630789 132869671 161829613 179764849 218945947 277818403 338371009 484824241 655938679 1013723413 1262617141 3056002433 3722081099 11150957543 13888788551 21464491397 29040194243 236109405367 319442136673 493683302131 5430516323441