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6940108540071 = 3273725111861791
BaseRepresentation
bin110010011111101111010…
…1101000100100010100111
3220120110122002121120121200
41210333132231010202213
51402201320241240241
622432124123413543
71314256234153650
oct144773655044247
926513562546550
106940108540071
112236313385023
129410583842b3
133b45ac512145
1419dc8dd58527
15c07dc78b4b6
hex64fdeb448a7

6940108540071 has 48 divisors (see below), whose sum is σ = 11813206099968. Its totient is φ = 3843219960000.

The previous prime is 6940108540031. The next prime is 6940108540121. The reversal of 6940108540071 is 1700458010496.

6940108540071 is a `hidden beast` number, since 6 + 94 + 0 + 10 + 8 + 540 + 0 + 7 + 1 = 666.

It is not a de Polignac number, because 6940108540071 - 27 = 6940108539943 is a prime.

It is a super-3 number, since 3×69401085400713 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6940108539999 and 6940108540026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6940108540031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5345815 + ... + 6515976.

It is an arithmetic number, because the mean of its divisors is an integer number (246108460416).

Almost surely, 26940108540071 is an apocalyptic number.

6940108540071 is a deficient number, since it is larger than the sum of its proper divisors (4873097559897).

6940108540071 is a wasteful number, since it uses less digits than its factorization.

6940108540071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11862092 (or 11862089 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 6940108540071 in words is "six trillion, nine hundred forty billion, one hundred eight million, five hundred forty thousand, seventy-one".

Divisors: 1 3 7 9 21 37 63 111 251 259 333 753 777 1757 2259 2331 5271 9287 15813 27861 65009 83583 195027 585081 11861791 35585373 83032537 106756119 249097611 438886267 747292833 1316658801 2977309541 3072203869 3949976403 8931928623 9216611607 20841166787 26795785869 27649834821 62523500361 110160453017 187570501083 330481359051 771123171119 991444077153 2313369513357 6940108540071