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8140014013376 = 267171493715877
BaseRepresentation
bin111011001110011111010…
…1001001100101111000000
31001211011210120110020100102
41312130332221030233000
52031331222041412001
625151245410141532
71500045064331660
oct166347651145700
931734716406312
108140014013376
112659184778883
12ab570a2818a8
134707a535169b
14201d9bab81a0
15e1b19003e6b
hex7673ea4cbc0

8140014013376 has 112 divisors (see below), whose sum is σ = 19559413434816. Its totient is φ = 3281163239424.

The previous prime is 8140014013361. The next prime is 8140014013387. The reversal of 8140014013376 is 6733104100418.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11012750 + ... + 11728626.

Almost surely, 28140014013376 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 8140014013376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9779706717408).

8140014013376 is an abundant number, since it is smaller than the sum of its proper divisors (11419399421440).

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

8140014013376 is a wasteful number, since it uses less digits than its factorization.

8140014013376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717406 (or 717396 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 8140014013376 in words is "eight trillion, one hundred forty billion, fourteen million, thirteen thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1493 1904 2986 3808 5972 7616 10451 11944 20902 23888 25381 41804 47776 50762 83608 95552 101524 167216 177667 203048 334432 355334 406096 668864 710668 715877 812192 1421336 1431754 1624384 2842672 2863508 5011139 5685344 5727016 10022278 11370688 11454032 12169909 20044556 22908064 24339818 40089112 45816128 48679636 80178224 85189363 97359272 160356448 170378726 194718544 320712896 340757452 389437088 681514904 778874176 1068804361 1363029808 2137608722 2726059616 4275217444 5452119232 7481630527 8550434888 14963261054 17100869776 18169674137 29926522108 34201739552 36339348274 59853044216 68403479104 72678696548 119706088432 127187718959 145357393096 239412176864 254375437918 290714786192 478824353728 508750875836 581429572384 1017501751672 1162859144768 2035003503344 4070007006688 8140014013376