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8234227164141 = 32111729257656459
BaseRepresentation
bin111011111010010111000…
…1011110110001111101101
31002011011222110010011210200
41313310232023312033231
52034402144123223031
625302430213024113
71506621553030626
oct167645613661755
932134873104720
108234227164141
112695130628450
12b0ba22025039
1347963aca5384
14206778372a4d
15e42d01ab8e6
hex77d2e2f63ed

8234227164141 has 96 divisors (see below), whose sum is σ = 14267449123200. Its totient is φ = 4517271306240.

The previous prime is 8234227164113. The next prime is 8234227164143. The reversal of 8234227164141 is 1414617224328.

8234227164141 is a `hidden beast` number, since 8 + 2 + 3 + 4 + 227 + 1 + 6 + 414 + 1 = 666.

It is not a de Polignac number, because 8234227164141 - 234 = 8217047294957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8234227164143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12215170 + ... + 12871628.

It is an arithmetic number, because the mean of its divisors is an integer number (148619261700).

Almost surely, 28234227164141 is an apocalyptic number.

It is an amenable number.

8234227164141 is a deficient number, since it is larger than the sum of its proper divisors (6033221959059).

8234227164141 is a wasteful number, since it uses less digits than its factorization.

8234227164141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656779 (or 656776 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 8234227164141 in words is "eight trillion, two hundred thirty-four billion, two hundred twenty-seven million, one hundred sixty-four thousand, one hundred forty-one".

Divisors: 1 3 9 11 17 29 33 51 87 99 153 187 257 261 319 493 561 771 957 1479 1683 2313 2827 2871 4369 4437 5423 7453 8481 13107 16269 22359 25443 39321 48059 48807 67077 81983 126701 144177 245949 380103 432531 656459 737847 1140309 1393711 1969377 4181133 5908131 7221049 11159803 12543399 19037311 21663147 33479409 57111933 64989441 100438227 122757833 168709963 171335799 209410421 323634287 368273499 506129889 628231263 970902861 1104820497 1518389667 1855809593 1884693789 2868069371 2912708583 3559977157 4892588927 5567428779 8604208113 10679931471 14677766781 16702286337 25812624339 31548763081 32039794413 44033300343 53818478197 83174011759 94646289243 161455434591 249522035277 283938867729 484366303773 748566105831 914914129349 2744742388047 8234227164141