1230468120
1,230,468,120 is an even composite number composed of seven prime numbers multiplied together.
1230468120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 1230468120:
23 × 32 × 5 × 7 × 19 × 31 × 829
(2 × 2 × 2 × 3 × 3 × 5 × 7 × 19 × 31 × 829)See below for interesting mathematical facts about the number 1230468120 from the Numbermatics database.
Names of 1230468120
- Cardinal: 1230468120 can be written as One billion, two hundred thirty million, four hundred sixty-eight thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.23046812 × 109
Factors of 1230468120
Divisors of 1230468120
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 19 20 21 24 28 30 31 35 36 38 40 42 45 56 57 60 62 63 70 72 76 84 90 93 95 105 114 120 124 126 133 140 152 155 168 171 180 186 190 210 217 228 248 252 266 279 280 285 310 315 342 360 372 380 399 420 434 456 465 504 532 558 570 589 620 630 651 665 684 744 760 798 829 840 855 868 930 1064 1085 1116 1140 1178 1197 1240 1260 1302 1330 1368 1395 1596 1658 1710 1736 1767 1860 1953 1995 2170 2232 2280 2356 2394 2487 2520 2604 2660 2790 2945 3192 3255 3316 3420 3534 3720 3906 3990 4123 4145 4340 4712 4788 4974 5208 5301 5320 5580 5803 5890 5985 6510 6632 6840 7068 7461 7812 7980 8246 8290 8680 8835 9576 9765 9948 10602 11160 11606 11780 11970 12369 12435 13020 14136 14922 15624 15751 15960 16492 16580 17409 17670 19530 19896 20615 21204 23212 23560 23940 24738 24870 25699 26040 26505 29015 29844 31502 32984 33160 34818 35340 37107 37305 39060 41230 42408 46424 47253 47880 49476 49740 51398 52227 53010 58030 59688 61845 63004 69636 70680 74214 74610 77097 78120 78755 82460 87045 94506 98952 99480 102796 104454 106020 110257 116060 123690 126008 128495 139272 141759 148428 149220 154194 157510 164920 174090 179893 185535 189012 205592 208908 212040 220514 231291 232120 236265 247380 256990 261135 283518 296856 298440 308388 315020 330771 348180 359786 371070 378024 385485 417816 441028 462582 472530 488281 494760 513980 522270 539679 551285 567036 616776 630040 661542 696360 708795 719572 742140 770970 882056 899465 925164 945060 976562 992313 1027960 1044540 1079358 1102570 1134072 1156455 1323084 1417590 1439144 1464843 1484280 1541940 1619037 1653855 1798930 1850328 1890120 1953124 1984626 2089080 2158716 2205140 2312910 2441405 2646168 2698395 2835180 2929686 3083880 3238074 3307710 3417967 3597860 3906248 3969252 4317432 4394529 4410280 4625820 4882810 4961565 5396790 5670360 5859372 6476148 6615420 6835934 7195720 7324215 7938504 8095185 8789058 9251640 9765620 9923130 10253901 10793580 11718744 12952296 13230840 13671868 14648430 16190370 17089835 17578116 19531240 19846260 20507802 21587160 21972645 27343736 29296860 30761703 32380740 34179670 35156232 39692520 41015604 43945290 51269505 58593720 61523406 64761480 68359340 82031208 87890580 102539010 123046812 136718680 153808515 175781160 205078020 246093624 307617030 410156040 615234060 1230468120
- Sum of all divisors σ(n): 4972032000
- Sum of proper divisors (its aliquot sum) s(n): 3741563880
- 1230468120 is an abundant number, because the sum of its proper divisors (3741563880) is greater than itself. Its abundance is 2511095760
Bases of 1230468120
- Binary: 10010010101011101110100000110002
- Hexadecimal: 0x49577418
- Base-36: KCL7A0
Squares and roots of 1230468120
- 1230468120 squared (12304681202) is 1514051794336334400
- 1230468120 cubed (12304681203) is 1862992464959656036859328000
-
The
square root of 1230468120 is 35078.0290210269 -
The
cube root of 1230468120 is 1071.5771774067
Scales and comparisons
How big is 1230468120?- 1,230,468,120 seconds is equal to 39 years, 6 weeks, 3 days, 12 hours, 42 minutes.
-
To count from 1 to 1,230,468,120 would take you about seventy-eight years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 1230468120 cubic inches would be around 89.3 feet tall.
Recreational maths with 1230468120
- 1230468120 backwards is 0218640321
- The number of decimal digits it has is: 10
- The sum of 1230468120's digits is 27
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 1230468120 - Facts about the integer". Numbermatics.com. 2024. Web. 27 April 2024.
APA style:
Numbermatics. (2024). Number 1230468120 - Facts about the integer. Retrieved 27 April 2024, from https://numbermatics.com/n/1230468120/
Chicago style:
Numbermatics. 2024. "Number 1230468120 - Facts about the integer". https://numbermatics.com/n/1230468120/
The information we have on file for 1230468120 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 1230468120, math, Factors of 1230468120, curriculum, school, college, exams, university, Prime factorization of 1230468120, STEM, science, technology, engineering, physics, economics, calculator, one billion, two hundred thirty million, four hundred sixty-eight thousand, one hundred twenty.