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39381106039314 = 2313738598051509
BaseRepresentation
bin10001111010001001000001…
…10101100001101000010010
312011102210111222202022021120
420331010200311201220102
520130210001121224224
6215431232542503110
711203122343140144
oct1075044065415022
9164383458668246
1039381106039314
1111603484772236
1245003a4894a96
1318c8812449180
149a20acbc0c94
154845d62ad779
hex23d120d61a12

39381106039314 has 64 divisors (see below), whose sum is σ = 86082880195200. Its totient is φ = 11937358996992.

The previous prime is 39381106039189. The next prime is 39381106039411. The reversal of 39381106039314 is 41393060118393.

It is a super-2 number, since 2×393811060393142 (a number of 28 digits) contains 22 as substring.

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, 865392 + ... + 8916900.

It is an arithmetic number, because the mean of its divisors is an integer number (1345045003050).

Almost surely, 239381106039314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39381106039314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43041440097600).

39381106039314 is an abundant number, since it is smaller than the sum of its proper divisors (46701774155886).

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

39381106039314 is a wasteful number, since it uses less digits than its factorization.

39381106039314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8052459.

The product of its (nonzero) digits is 1259712, while the sum is 51.

The spelling of 39381106039314 in words is "thirty-nine trillion, three hundred eighty-one billion, one hundred six million, thirty-nine thousand, three hundred fourteen".

Divisors: 1 2 3 6 13 26 39 73 78 146 219 438 859 949 1718 1898 2577 2847 5154 5694 11167 22334 33501 62707 67002 125414 188121 376242 815191 1630382 2445573 4891146 8051509 16103018 24154527 48309054 104669617 209339234 314008851 587760157 628017702 1175520314 1763280471 3526560942 6916246231 7640882041 13832492462 15281764082 20748738693 22922646123 41497477386 45845292246 89911201003 179822402006 269733603009 504885974863 539467206018 1009771949726 1514657924589 3029315849178 6563517673219 13127035346438 19690553019657 39381106039314