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4110401320014 = 231117179132115493
BaseRepresentation
bin111011110100000111000…
…000101011010001001110
3112112221122221020211212110
4323310013000223101032
51014321100214220024
612424143045244450
7602652401513553
oct73640700532116
915487587224773
104110401320014
111345236429410
12564759103726
1323a7bc4a99b2
14102d3194ca2a
1571dc3427629
hex3bd0702b44e

4110401320014 has 128 divisors (see below), whose sum is σ = 9556580206080. Its totient is φ = 1164800102400.

The previous prime is 4110401320009. The next prime is 4110401320021. The reversal of 4110401320014 is 4100231040114.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 265299252 + ... + 265314744.

It is an arithmetic number, because the mean of its divisors is an integer number (74660782860).

Almost surely, 24110401320014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4110401320014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778290103040).

4110401320014 is an abundant number, since it is smaller than the sum of its proper divisors (5446178886066).

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

4110401320014 is a wasteful number, since it uses less digits than its factorization.

4110401320014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17026.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 4110401320014 its reverse (4100231040114), we get a palindrome (8210632360128).

The spelling of 4110401320014 in words is "four trillion, one hundred ten billion, four hundred one million, three hundred twenty thousand, fourteen".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 179 187 358 374 537 561 1074 1122 1321 1969 2642 3043 3938 3963 5907 6086 7926 9129 11814 14531 15493 18258 22457 29062 30986 33473 43593 44914 46479 66946 67371 87186 92958 100419 134742 170423 200838 236459 247027 263381 340846 472918 494054 511269 526762 709377 741081 790143 1022538 1418754 1482162 1580286 2601049 2773247 2897191 4019803 5202098 5546494 5794382 7803147 8039606 8319741 8691573 12059409 15606294 16639482 17383146 20466253 24118818 30505717 40932506 44217833 47145199 61011434 61398759 88435666 91517151 94290398 122797518 132653499 141435597 183034302 225128783 265306998 282871194 347926301 450257566 518597189 675386349 695852602 1037194378 1043778903 1350772698 1555791567 2087557806 3111583134 3663459287 3827189311 7326918574 7654378622 10990377861 11481567933 21980755722 22963135866 40298052157 62278807879 80596104314 120894156471 124557615758 186836423637 241788312942 373672847274 685066886669 1370133773338 2055200660007 4110401320014