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4132032134334 = 2313223286161927
BaseRepresentation
bin111100001000010000010…
…011101011110010111110
3112122000111102110001210120
4330020100103223302332
51020144400211244314
612442121312515410
7604346415430266
oct74102023536276
915560442401716
104132032134334
111353426466365
1256899524bb66
1323c8589b8c00
14103dc466a7a6
157273c42c8a9
hex3c2104ebcbe

4132032134334 has 96 divisors (see below), whose sum is σ = 9341148178944. Its totient is φ = 1215671783040.

The previous prime is 4132032134317. The next prime is 4132032134423. The reversal of 4132032134334 is 4334312302314.

It is a happy number.

4132032134334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4132032134295 and 4132032134304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66693279 + ... + 66755205.

It is an arithmetic number, because the mean of its divisors is an integer number (97303626864).

Almost surely, 24132032134334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4132032134334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4670574089472).

4132032134334 is an abundant number, since it is smaller than the sum of its proper divisors (5209116044610).

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

4132032134334 is a wasteful number, since it uses less digits than its factorization.

4132032134334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64842 (or 64829 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 4132032134334 its reverse (4334312302314), we get a palindrome (8466344436648).

The spelling of 4132032134334 in words is "four trillion, one hundred thirty-two billion, thirty-two million, one hundred thirty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 169 299 338 507 598 897 1014 1794 2861 3887 5722 7774 8583 11661 17166 23322 37193 61927 65803 74386 111579 123854 131606 185781 197409 223158 371562 394818 483509 805051 855439 967018 1424321 1450527 1610102 1710878 2415153 2566317 2848642 2901054 4272963 4830306 5132634 8545926 10465663 11120707 18516173 20931326 22241414 31396989 33362121 37032346 55548519 62793978 66724242 111097038 177173147 240710249 354346294 481420498 531519441 722130747 1063038882 1444261494 2303250911 4074982381 4606501822 6909752733 8149964762 12224947143 13819505466 24449894286 29942261843 52974770953 59884523686 89826785529 105949541906 158924312859 179653571058 317848625718 688672022389 1377344044778 2066016067167 4132032134334