828370981490304
828,370,981,490,304 is an even composite number composed of seven prime numbers multiplied together.
What does the number 828370981490304 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
828370981490304 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 828370981490304:
27 × 3 × 72 × 19 × 73 × 307 × 103391
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 19 × 73 × 307 × 103391)See below for interesting mathematical facts about the number 828370981490304 from the Numbermatics database.
Names of 828370981490304
- Cardinal: 828370981490304 can be written as Eight hundred twenty-eight trillion, three hundred seventy billion, nine hundred eighty-one million, four hundred ninety thousand, three hundred four.
Scientific notation
- Scientific notation: 8.28370981490304 × 1014
Factors of 828370981490304
Divisors of 828370981490304
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 64 73 76 84 96 98 112 114 128 133 146 147 152 168 192 196 219 224 228 266 292 294 304 307 336 384 392 399 438 448 456 511 532 584 588 608 614 672 784 798 876 896 912 921 931 1022 1064 1168 1176 1216 1228 1344 1387 1533 1568 1596 1752 1824 1842 1862 2044 2128 2149 2336 2352 2432 2456 2688 2774 2793 3066 3136 3192 3504 3577 3648 3684 3724 4088 4161 4256 4298 4672 4704 4912 5548 5586 5833 6132 6272 6384 6447 7008 7154 7296 7368 7448 8176 8322 8512 8596 9344 9408 9709 9824 10731 11096 11172 11666 12264 12768 12894 14016 14308 14736 14896 15043 16352 16644 17024 17192 17499 18816 19418 19648 21462 22192 22344 22411 23332 24528 25536 25788 28032 28616 29127 29472 29792 30086 32704 33288 34384 34998 38836 39296 40831 42924 44384 44688 44822 45129 46664 49056 51072 51576 57232 58254 58944 59584 60172 65408 66576 67233 67963 68768 69996 77672 81662 85848 88768 89376 89644 90258 93328 98112 103152 103391 114464 116508 117888 119168 120344 122493 133152 134466 135926 137536 139992 155344 156877 163324 171696 177536 178752 179288 180516 186656 196224 203889 206304 206782 228928 233016 240688 244986 266304 268932 271852 275072 279984 285817 310173 310688 313754 326648 343392 357504 358576 361032 373312 407778 412608 413564 425809 457856 466032 470631 481376 489972 532608 537864 543704 559968 571634 620346 621376 627508 653296 686784 717152 722064 723737 746624 815556 825216 827128 851618 857451 932064 941262 962752 979944 1075728 1087408 1098139 1119936 1143268 1240692 1242752 1255016 1277427 1306592 1373568 1434304 1444128 1447474 1631112 1654256 1703236 1714902 1864128 1882524 1925504 1959888 1964429 2151456 2171211 2174816 2196278 2239872 2286536 2481384 2510032 2554854 2613184 2868608 2888256 2894948 2980663 3262224 3294417 3308512 3406472 3429804 3728256 3765048 3919776 3928858 4302912 4342422 4349632 4392556 4573072 4962768 5020064 5066159 5109708 5226368 5776512 5789896 5893287 5961326 6524448 6588834 6617024 6812944 6859608 7530096 7547543 7839552 7857716 8605824 8684844 8699264 8785112 8941989 9146144 9925536 10040128 10132318 10219416 11579792 11786574 11922652 13048896 13177668 13234048 13625888 13719216 13751003 15060192 15095086 15198477 15679104 15715432 17369688 17570224 17883978 18292288 19851072 20080256 20264636 20438832 20864641 22642629 23159584 23573148 23845304 26097792 26355336 27251776 27438432 27502006 30120384 30190172 30396954 31430864 31741037 34739376 35140448 35767956 36584576 39702144 40529272 40877664 41253009 41729282 45285258 46319168 47146296 47690608 52710672 52832801 54503552 54876864 55004012 60240768 60380344 60793908 62593923 62861728 63482074 69478752 70280896 71535912 81058544 81755328 82506018 83458564 90570516 92638336 94292592 95223111 95381216 96257021 105421344 105665602 109753728 110008024 120760688 121587816 125187846 125723456 126964148 138957504 140561792 143071824 143403317 158498403 162117088 163510656 165012036 166917128 181141032 188585184 190446222 190762432 192514042 210842688 211331204 220016048 222187259 241521376 243175632 250375692 251446912 253928296 277915008 286143648 286806634 288771063 316996806 324234176 330024072 333834256 362282064 369829607 377170368 380892444 381524864 385028084 421685376 422662408 430209951 440032096 444374518 483042752 486351264 500751384 507856592 572287296 573613268 577542126 603079703 633993612 648468352 660048144 666561777 667668512 724564128 739659214 754340736 761784888 770056168 845324816 860419902 880064192 888749036 966085504 972702528 1001502768 1003823219 1015713184 1109488821 1144574592 1147226536 1155084252 1206159406 1267987224 1320096288 1333123554 1335337024 1449128256 1479318428 1523569776 1540112336 1555310813 1690649632 1720839804 1760128384 1777498072 1809239109 1945405056 2003005536 2007646438 2031426368 2218977642 2294453072 2310168504 2317095701 2412318812 2535974448 2640192576 2666247108 2670674048 2898256512 2958636856 3011469657 3047139552 3080224672 3110621626 3381299264 3441679608 3554996144 3618478218 4006011072 4015292876 4062852736 4221557921 4437955284 4588906144 4620337008 4634191402 4665932439 4824637624 5071948896 5280385152 5332494216 5917273712 6022939314 6094279104 6160449344 6221243252 6762598528 6883359216 6951287103 7026762533 7109992288 7236956436 8012022144 8030585752 8443115842 8875910568 9177812288 9240674016 9268382804 9331864878 9649275248 10143897792 10664988432 11834547424 12045878628 12188558208 12320898688 12442486504 12664673763 13766718432 13902574206 14053525066 14219984576 14473912872 16061171504 16219669907 16886231684 17751821136 18355624576 18481348032 18536765608 18663729756 19298550496 20287795584 21080287599 21329976864 23669094848 24091757256 24884973008 25329347526 27533436864 27805148412 28107050132 28439969152 28947825744 29550905447 32122343008 32439339814 33772463368 35503642272 36962696064 37073531216 37327459512 38597100992 42160575198 42659953728 44024818319 47338189696 48183514512 48659009721 49769946016 50658695052 55066873728 55610296824 56214100264 57895651488 59101810894 64244686016 64878679628 67544926736 71007284544 74147062432 74654919024 77194201984 84321150396 85319907456 88049636638 88652716341 96367029024 97318019442 99539892032 101317390104 111220593648 112428200528 113537689349 115791302976 118203621788 128489372032 129757359256 132074454957 135089853472 142014569088 148294124864 149309838048 168642300792 176099273276 177305432682 192734058048 194636038884 199079784064 202634780208 222441187296 224856401056 227075378698 231582605952 236407243576 259514718512 264148909914 270179706944 296588249728 298619676096 308173728233 337284601584 340613068047 352198546552 354610865364 385468116096 389272077768 405269560416 444882374592 449712802112 454150757396 472814487152 519029437024 528297819828 540359413888 597239352192 616347456466 674569203168 681226136094 704397093104 709221730728 778544155536 810539120832 889764749184 899425604224 908301514792 924521184699 945628974304 1038058874048 1056595639656 1232694912932 1349138406336 1362452272188 1408794186208 1418443461456 1557088311072 1621078241664 1816603029584 1849042369398 1891257948608 2076117748096 2113191279312 2157216097631 2465389825864 2698276812672 2724904544376 2817588372416 2836886922912 3114176622144 3633206059168 3698084738796 3782515897216 4226382558624 4314432195262 4930779651728 5449809088752 5635176744832 5673773845824 6228353244288 6471648292893 7266412118336 7396169477592 8452765117248 8628864390524 9861559303456 10899618177504 11347547691648 12943296585786 14532824236672 14792338955184 16905530234496 17257728781048 19723118606912 21799236355008 25886593171572 29584677910368 34515457562096 39446237213824 43598472710016 51773186343144 59169355820736 69030915124192 103546372686288 118338711641472 138061830248384 207092745372576 276123660496768 414185490745152 828370981490304
- Sum of all divisors σ(n): 2740150367539200
- Sum of proper divisors (its aliquot sum) s(n): 1911779386048896
- 828370981490304 is an abundant number, because the sum of its proper divisors (1911779386048896) is greater than itself. Its abundance is 1083408404558592
Bases of 828370981490304
- Binary: 101111000101100110001001100001100000001110100000002
- Hexadecimal: 0x2F16626180E80
- Base-36: 85MSDIH2TC
Squares and roots of 828370981490304
- 828370981490304 squared (8283709814903042) is 686198482975209572176846012416
- 828370981490304 cubed (8283709814903043) is 568426910839332012981401390867576407367614464
-
The
square root of 828370981490304 is 28781434.6669915675 -
The
cube root of 828370981490304 is 93916.4408145071
Scales and comparisons
How big is 828370981490304?- 828,370,981,490,304 seconds is equal to 26,339,634 years, 46 weeks, 2 days, 13 hours, 58 minutes, 24 seconds.
-
To count from 1 to 828,370,981,490,304 would take you about sixty-five million, eight hundred forty-nine thousand and eighty-seven 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 828370981490304 cubic inches would be around 7826.4 feet tall.
Recreational maths with 828370981490304
- 828370981490304 backwards is 403094189073828
- The number of decimal digits it has is: 15
- The sum of 828370981490304's digits is 66
- 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 828370981490304 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
APA style:
Numbermatics. (2024). Number 828370981490304 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/828370981490304/
Chicago style:
Numbermatics. 2024. "Number 828370981490304 - Facts about the integer". https://numbermatics.com/n/828370981490304/
The information we have on file for 828370981490304 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 828370981490304, math, Factors of 828370981490304, curriculum, school, college, exams, university, Prime factorization of 828370981490304, STEM, science, technology, engineering, physics, economics, calculator, eight hundred twenty-eight trillion, three hundred seventy billion, nine hundred eighty-one million, four hundred ninety thousand, three hundred four.