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8141801719340 = 22531412281140417
BaseRepresentation
bin111011001111010100100…
…1100110000011000101100
31001211100102011100002220102
41312132221030300120230
52031343402220004330
625152143031010232
71500140302513502
oct166365114603054
931740364302812
108141801719340
112659a118a5823
12ab5b28b09978
134709cb828973
142020cb2b0672
15e1bc0e2e945
hex767a933062c

8141801719340 has 96 divisors (see below), whose sum is σ = 18087851432448. Its totient is φ = 3073425408000.

The previous prime is 8141801719327. The next prime is 8141801719357. The reversal of 8141801719340 is 439171081418.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57912812 + ... + 58053228.

It is an arithmetic number, because the mean of its divisors is an integer number (188415119088).

Almost surely, 28141801719340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8141801719340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9043925716224).

8141801719340 is an abundant number, since it is smaller than the sum of its proper divisors (9946049713108).

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

8141801719340 is a wasteful number, since it uses less digits than its factorization.

8141801719340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142779 (or 142777 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 47.

The spelling of 8141801719340 in words is "eight trillion, one hundred forty-one billion, eight hundred one million, seven hundred nineteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 41 62 82 124 155 164 205 310 410 620 820 1271 2281 2542 4562 5084 6355 9124 11405 12710 22810 25420 45620 70711 93521 140417 141422 187042 280834 282844 353555 374084 467605 561668 702085 707110 935210 1404170 1414220 1870420 2808340 2899151 4352927 5757097 5798302 8705854 11514194 11596604 14495755 17411708 21764635 23028388 28785485 28991510 43529270 57570970 57983020 87058540 115141940 178470007 320291177 356940014 640582354 713880028 892350035 1281164708 1601455885 1784700070 3202911770 3569400140 6405823540 9929026487 13131938257 19858052974 26263876514 39716105948 49645132435 52527753028 65659691285 99290264870 131319382570 198580529740 262638765140 407090085967 814180171934 1628360343868 2035450429835 4070900859670 8141801719340