468831275640
468,831,275,640 is an even composite number composed of six prime numbers multiplied together.
468831275640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 468831275640:
23 × 34 × 5 × 7 × 133 × 972
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 13 × 13 × 13 × 97 × 97)See below for interesting mathematical facts about the number 468831275640 from the Numbermatics database.
Names of 468831275640
- Cardinal: 468831275640 can be written as Four hundred sixty-eight billion, eight hundred thirty-one million, two hundred seventy-five thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.6883127564 × 1011
Factors of 468831275640
Divisors of 468831275640
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 18 20 21 24 26 27 28 30 35 36 39 40 42 45 52 54 56 60 63 65 70 72 78 81 84 90 91 97 104 105 108 117 120 126 130 135 140 156 162 168 169 180 182 189 194 195 210 216 234 252 260 270 273 280 291 312 315 324 338 351 360 364 378 388 390 405 420 455 468 485 504 507 520 540 546 567 582 585 630 648 676 679 702 728 756 776 780 810 819 840 845 873 910 936 945 970 1014 1053 1080 1092 1134 1164 1170 1183 1260 1261 1352 1358 1365 1404 1455 1512 1521 1560 1620 1638 1690 1746 1755 1820 1890 1940 2028 2037 2106 2184 2197 2268 2328 2340 2366 2457 2520 2522 2535 2619 2716 2730 2808 2835 2910 3042 3240 3276 3380 3395 3492 3510 3549 3640 3780 3783 3880 4056 4074 4095 4212 4365 4394 4536 4563 4680 4732 4914 5044 5070 5238 5265 5432 5460 5670 5820 5915 6084 6111 6305 6552 6591 6760 6790 6984 7020 7098 7371 7560 7566 7605 7857 8148 8190 8424 8730 8788 8827 9126 9409 9464 9828 10088 10140 10185 10476 10530 10647 10920 10985 11340 11349 11640 11830 12168 12222 12285 12610 13095 13182 13580 13689 14040 14196 14742 15132 15210 15379 15714 16296 16380 16393 17460 17576 17654 17745 18252 18333 18818 18915 19656 19773 20280 20370 20952 21060 21294 21970 22680 22698 22815 23660 24444 24570 25220 26190 26364 26481 27160 27378 28227 28392 29484 30264 30420 30555 30758 31428 31941 32760 32786 32955 34047 34920 35308 35490 36504 36666 36855 37636 37830 39285 39546 40740 42120 42588 43940 44135 45396 45630 46137 47045 47320 48888 49140 49179 50440 52380 52728 52962 53235 54756 54999 56454 56745 58968 59319 60840 61110 61516 62856 63882 65572 65863 65910 68094 68445 70616 70980 73332 73710 75272 75660 76895 78570 79092 79443 81480 81965 84681 85176 87880 88270 90792 91260 91665 92274 94090 95823 98280 98358 98865 102141 104760 105924 106470 109512 109998 112908 113490 114751 118638 122220 122317 123032 127764 131144 131726 131820 132405 136188 136890 138411 141135 141960 146664 147420 147537 151320 153790 157140 158184 158886 159705 163930 169362 170235 176540 177957 182520 183330 184548 188180 191646 196716 197589 197730 204282 211848 212940 213109 219996 225816 226980 229502 230685 237276 238329 244440 244634 245895 254043 255528 263452 263640 264810 272376 273780 274995 276822 282270 294840 295074 296595 307580 314280 317772 319410 327860 329315 338724 340470 344253 353080 355914 366660 366951 369096 376360 383292 393432 395178 395460 397215 408564 415233 423405 425880 426218 439992 442611 453960 459004 461370 474552 476658 479115 489268 491790 508086 510705 526904 529620 547560 549990 553644 564540 573755 590148 592767 593190 611585 615160 635544 638820 639327 655720 658630 677448 680940 688506 692055 711828 714987 733320 733902 737685 762129 766584 790356 790920 794430 817128 830466 846810 852436 856219 885222 889785 918008 922740 953316 958230 978536 983580 987945 1016172 1021410 1032759 1059240 1065545 1099980 1100853 1107288 1129080 1147510 1180296 1185534 1186380 1191645 1223170 1245699 1270215 1277640 1278654 1317260 1327833 1361880 1377012 1384110 1423656 1429974 1467804 1475370 1491763 1524258 1580712 1588860 1590121 1660932 1693620 1704872 1712438 1721265 1770444 1778301 1779570 1834755 1845480 1906632 1916460 1917981 1967160 1975890 2032344 2042820 2065518 2076165 2131090 2199960 2201706 2213055 2295020 2371068 2372760 2383290 2446340 2491398 2540430 2557308 2568657 2634520 2655666 2754024 2768220 2859948 2935608 2950740 2963835 2983526 3048516 3098277 3177720 3180242 3196635 3302559 3321864 3387240 3424876 3442530 3540888 3556602 3559140 3574935 3669510 3810645 3832920 3835962 3951780 4085640 4131036 4152330 4262180 4281095 4403412 4426110 4475289 4590040 4742136 4766580 4770363 4892680 4982796 5080860 5114616 5137314 5163795 5311332 5334903 5504265 5536440 5719896 5753943 5901480 5927670 5967052 6097032 6196554 6228495 6360484 6393270 6605118 6639165 6849752 6885060 7113204 7118280 7149870 7339020 7458815 7621290 7671924 7705971 7903560 7950605 8262072 8304660 8524360 8562190 8806824 8852220 8891505 8950578 9294831 9533160 9540726 9589905 9907677 9965592 10161720 10274628 10327590 10622664 10669806 11008530 11130847 11507886 11855340 11934104 12393108 12456990 12720968 12786540 12843285 13210236 13278330 13425867 13770120 14226408 14299740 14311089 14678040 14917630 15242580 15343848 15411942 15491385 15901210 16512795 16609320 17124380 17261829 17704440 17783010 17901156 18589662 19081452 19179810 19815354 20549256 20655180 20671573 21339612 22017060 22261694 22376445 23015772 23117913 23710680 23851815 24786216 24913980 25573080 25686570 26420472 26556660 26674515 26851734 28599480 28622178 28769715 29835260 30485160 30823884 30982770 31802420 33025590 33392541 34248760 34523658 35566020 35802312 37179324 38162904 38359620 38529855 39630708 40277601 41310360 41343146 42679224 42933267 44034120 44523388 44752890 46031544 46235826 46474155 47703630 49538385 49827960 51373140 53113320 53349030 53703468 55654235 57244356 57539430 59670520 61647768 61965540 62014719 63604840 66051180 66785082 67129335 69047316 69353739 71132040 71555445 74358648 76719240 77059710 79261416 80555202 82686292 85866534 86309145 89046776 89505780 92471652 92948310 95407260 99076770 100177623 102746280 103357865 106698060 107406936 111308470 114488712 115078860 115589565 120832803 123931080 124029438 128799801 132102360 133570164 134258670 138094632 138707478 143110890 144701011 154119420 161110404 165372584 166962705 171733068 172618290 179011560 184943304 185896620 186044157 190814520 198153540 200355246 201388005 206715730 213396120 214666335 222616940 230157720 231179130 241665606 248058876 257599602 267140328 268517340 277414956 286221780 289402022 300532869 308238840 310073595 322220808 333925410 343466136 345236580 346768695 371793240 372088314 396307080 400710492 402776010 413431460 429332670 434103033 445233880 462358260 483331212 496117752 500888115 515199204 537034680 554829912 558132471 572443560 578804044 601065738 604164015 620147190 643999005 667850820 690473160 693537390 723505055 744176628 801420984 805552020 826862920 858665340 868206066 901598607 924716520 930220785 966662424 1001776230 1030398408 1116264942 1157608088 1202131476 1208328030 1240294380 1287998010 1302309099 1335701640 1387074780 1447010110 1488353256 1502664345 1611104040 1674397413 1717330680 1736412132 1803197214 1860441570 2003552460 2170515165 2232529884 2404262952 2416656060 2480588760 2575996020 2604618198 2774149560 2790662355 2894020220 3005328690 3348794826 3472824264 3606394428 3720883140 3906927297 4007104920 4341030330 4465059768 4507993035 4833312120 5151992040 5209236396 5581324710 5788040440 6010657380 6511545495 6697589652 7212788856 7441766280 7813854594 8371987065 8682060660 9015986070 10418472792 11162649420 11720781891 12021314760 13023090990 13395179304 15627709188 16743974130 17364121320 18031972140 19534636485 22325298840 23441563782 26046181980 31255418376 33487948260 36063944280 39069272970 46883127564 52092363960 58603909455 66975896520 78138545940 93766255128 117207818910 156277091880 234415637820 468831275640
- Sum of all divisors σ(n): 1971234619200
- Sum of proper divisors (its aliquot sum) s(n): 1502403343560
- 468831275640 is an abundant number, because the sum of its proper divisors (1502403343560) is greater than itself. Its abundance is 1033572067920
Bases of 468831275640
- Binary: 1101101001010001000010110001010011110002
- Hexadecimal: 0x6D28858A78
- Base-36: 5ZDM1BI0
Squares and roots of 468831275640
- 468831275640 squared (4688312756402) is 219802765018229657409600
- 468831275640 cubed (4688312756403) is 103050410712695778137822945982144000
-
The
square root of 468831275640 is 684712.5496440093 -
The
cube root of 468831275640 is 7768.5302030465
Scales and comparisons
How big is 468831275640?- 468,831,275,640 seconds is equal to 14,907 years, 19 weeks, 6 days, 21 hours, 54 minutes.
-
To count from 1 to 468,831,275,640 would take you about twenty-nine thousand, eight hundred fourteen 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 468831275640 cubic inches would be around 647.4 feet tall.
Recreational maths with 468831275640
- 468831275640 backwards is 046572138864
- 468831275640 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 468831275640's digits is 54
- 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 468831275640 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
APA style:
Numbermatics. (2024). Number 468831275640 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/468831275640/
Chicago style:
Numbermatics. 2024. "Number 468831275640 - Facts about the integer". https://numbermatics.com/n/468831275640/
The information we have on file for 468831275640 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 468831275640, math, Factors of 468831275640, curriculum, school, college, exams, university, Prime factorization of 468831275640, STEM, science, technology, engineering, physics, economics, calculator, four hundred sixty-eight billion, eight hundred thirty-one million, two hundred seventy-five thousand, six hundred forty.