Search a number
-
+
23085728240112 = 2433317769219217
BaseRepresentation
bin1010011111111000100001…
…01000011001000111110000
310000201222022002112121022000
411033330100220121013300
511011214032412140422
6121033234231214000
74601613603215046
oct517742050310760
9100658262477260
1023085728240112
1173a066982542a
12270a203817300
13cb5c89923625
1459b4d899a396
152a07a58eecac
hex14ff10a191f0

23085728240112 has 160 divisors (see below), whose sum is σ = 66560372155200. Its totient is φ = 7660957335552.

The previous prime is 23085728240089. The next prime is 23085728240131. The reversal of 23085728240112 is 21104282758032.

23085728240112 is a `hidden beast` number, since 2 + 30 + 8 + 572 + 8 + 2 + 40 + 1 + 1 + 2 = 666.

It is a congruent number.

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, 105200328 + ... + 105419544.

It is an arithmetic number, because the mean of its divisors is an integer number (416002325970).

Almost surely, 223085728240112 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 23085728240112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33280186077600).

23085728240112 is an abundant number, since it is smaller than the sum of its proper divisors (43474643915088).

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

23085728240112 is a wasteful number, since it uses less digits than its factorization.

23085728240112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220320 (or 220308 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 23085728240112 in words is "twenty-three trillion, eighty-five billion, seven hundred twenty-eight million, two hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 317 432 634 769 951 1268 1538 1902 2307 2536 2853 3076 3804 4614 5072 5706 6152 6921 7608 8559 9228 11412 12304 13842 15216 17118 18456 20763 22824 27684 34236 36912 41526 45648 55368 68472 83052 110736 136944 166104 219217 243773 332208 438434 487546 657651 731319 876868 975092 1315302 1462638 1753736 1950184 1972953 2193957 2630604 2925276 3507472 3900368 3945906 4387914 5261208 5850552 5918859 6581871 7891812 8775828 10522416 11701104 11837718 13163742 15783624 17551656 23675436 26327484 31567248 35103312 47350872 52654968 69491789 94701744 105309936 138983578 168577873 208475367 277967156 337155746 416950734 505733619 555934312 625426101 674311492 833901468 1011467238 1111868624 1250852202 1348622984 1517200857 1667802936 1876278303 2022934476 2501704404 2697245968 3034401714 3335605872 3752556606 4045868952 4551602571 5003408808 6068803428 7505113212 8091737904 9103205142 10006817616 12137606856 15010226424 18206410284 24275213712 30020452848 36412820568 53439185741 72825641136 106878371482 160317557223 213756742964 320635114446 427513485928 480952671669 641270228892 855026971856 961905343338 1282540457784 1442858015007 1923810686676 2565080915568 2885716030014 3847621373352 5771432060028 7695242746704 11542864120056 23085728240112