830838918308672
830,838,918,308,672 is an even composite number composed of seven prime numbers multiplied together.
What does the number 830838918308672 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1008 divisors.
830838918308672 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 830838918308672:
26 × 7 × 13 × 312 × 43 × 532 × 1229
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 31 × 31 × 43 × 53 × 53 × 1229)See below for interesting mathematical facts about the number 830838918308672 from the Numbermatics database.
Names of 830838918308672
- Cardinal: 830838918308672 can be written as Eight hundred thirty trillion, eight hundred thirty-eight billion, nine hundred eighteen million, three hundred eight thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 8.30838918308672 × 1014
Factors of 830838918308672
Divisors of 830838918308672
- Number of divisors d(n): 1008
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Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 31 32 43 52 53 56 62 64 86 91 104 106 112 124 172 182 208 212 217 224 248 301 344 364 371 403 416 424 434 448 496 559 602 688 689 728 742 806 832 848 868 961 992 1118 1204 1229 1333 1376 1378 1456 1484 1612 1643 1696 1736 1922 1984 2236 2279 2408 2458 2666 2752 2756 2809 2821 2912 2968 3224 3286 3392 3472 3844 3913 4472 4558 4816 4823 4916 5332 5512 5618 5642 5824 5936 6448 6572 6727 6944 7688 7826 8603 8944 9116 9331 9632 9646 9832 10664 11024 11236 11284 11501 11872 12493 12896 13144 13454 13888 15376 15652 15953 15977 17206 17329 17888 18232 18662 19264 19292 19663 19664 21328 21359 22048 22472 22568 23002 23744 24986 25792 26288 26908 29627 30752 31304 31906 31954 34412 34658 35776 36464 36517 37324 38099 38584 39326 39328 41323 42656 42718 44096 44944 45136 46004 49972 50933 52576 52847 53816 59254 61504 62608 63812 63908 65137 68824 69316 70649 72928 73034 74648 76198 77168 78652 78656 82646 85312 85436 87079 87451 89888 90272 92008 99944 101866 105152 105694 107632 111839 118508 120787 121303 125216 127624 127816 130274 137648 138632 141298 145856 146068 149296 149513 152396 154336 157304 165292 170872 174158 174902 179776 180544 184016 199888 203732 207389 211388 215264 223678 237016 241574 242606 250432 255248 255619 255632 260548 266693 275296 277264 282596 289261 292136 298592 299026 304792 308672 314608 330584 341744 348316 349804 356531 368032 369929 399776 407464 414778 422776 430528 447356 455959 474032 483148 485212 494543 495287 510496 511238 511264 521096 533386 537199 550592 554528 565192 578522 584272 597184 598052 609553 609584 629216 661168 662129 683488 687011 696632 699608 713062 736064 739858 799552 814928 829556 845509 845552 846781 894712 911918 918437 948064 966296 970424 989086 990574 1020992 1022476 1022528 1042192 1066772 1074398 1109056 1130384 1132027 1157044 1168544 1181069 1196104 1219106 1219168 1258432 1322336 1324258 1366976 1374022 1393264 1399216 1426124 1479716 1570231 1629856 1638257 1659112 1691018 1691104 1693562 1789424 1823836 1836874 1896128 1932592 1940848 1978172 1981148 2019247 2044952 2084384 2133544 2148796 2190119 2260768 2264054 2314088 2337088 2362138 2392208 2438212 2438336 2644672 2648516 2699449 2748044 2786528 2798432 2800891 2852248 2959432 3140462 3259712 3276514 3318224 3382036 3382208 3387124 3452261 3467009 3578848 3647672 3673748 3744397 3760393 3865184 3881696 3956344 3962296 4038494 4089904 4168768 4267088 4297592 4380238 4521536 4528108 4628176 4634903 4724276 4784416 4809077 4876424 5297032 5398898 5496088 5573056 5596864 5601782 5704496 5918864 5927467 6280924 6429059 6553028 6636448 6764072 6774248 6904522 6934018 7157696 7295344 7347496 7488794 7520786 7730368 7763392 7912688 7924189 7924592 8076988 8179808 8267483 8534176 8595184 8760476 9056216 9256352 9269806 9448552 9568832 9618154 9752848 10594064 10797796 10991617 10992176 11203564 11408992 11467799 11837728 11854934 12561848 12858118 13106056 13272896 13528144 13548496 13809044 13868036 14134729 14590688 14694992 14977588 15041572 15330833 15353897 15825376 15848378 15849184 16153976 16359616 16534966 17068352 17190368 17520952 18112432 18512704 18539612 18896143 18897104 19236308 19505696 19606237 21188128 21297341 21595592 21983234 21984352 22407128 22817984 22935598 23675456 23709868 24165827 25123696 25716236 26210779 26212112 26250211 27056288 27096992 27618088 27736072 28269458 28471547 29181376 29389984 29955176 30083144 30661666 30707794 31650752 31696756 31698368 32307952 33069932 34380736 35041904 35092837 36224864 36411583 37079224 37792286 37794208 38472616 39011392 39212474 42376256 42594682 43191184 43966468 43968704 44814256 44879393 45871196 47419736 48331654 48677161 50247392 50785967 51432472 52421558 52424224 52500422 54112576 54193984 55236176 55472144 56538916 56943094 58779968 59910352 60166288 61323332 61415588 62596657 63393512 64615904 66139864 70083808 70185674 72449728 72823166 74158448 75584572 75588416 76945232 78424948 85189364 86382368 86827621 87932936 89628512 89758786 91742392 94839472 96663308 97354322 100494784 101571934 102864944 104843116 104848448 105000844 107020091 107477279 110472352 110944288 113077832 113886188 116076307 119820704 120332576 122646664 122831176 125193314 126787024 129231808 132279728 140167616 140371348 145646332 148316896 148447223 149081387 151169144 153890464 156849896 170378728 172764736 173655242 175865872 179257024 179517572 183484784 183751477 189678944 193326616 194708644 199300829 203143868 205729888 209686232 210001688 214040182 214954558 220944704 221888576 226155664 227772376 232152614 239641408 240665152 245293328 245649859 245662352 250386628 253574048 254881081 264559456 280742696 291292664 296633792 296894446 298162774 302338288 307780928 313699792 314155751 340740127 340757456 347310484 351731744 355501769 359035144 366969568 367502954 379357888 386653232 389417288 398601658 406287736 411459776 419372464 420003376 428080364 429909116 438176599 452311328 455544752 464305228 490586656 491299718 491324704 500773256 507148096 509762162 529118912 561485392 582585328 593788892 596325548 604676576 607793347 627399584 628311502 660217571 681480254 681514912 694620968 703463488 711003538 718070288 733939136 735005908 749140637 773306464 778834576 797203316 812534149 812575472 813756541 838744928 840006752 856160728 859818232 876353198 904622656 911089504 928610456 981173312 982599436 982649408 1001546512 1019524324 1039130561 1122970784 1128759073 1165170656 1187577784 1192651096 1209353152 1215586694 1254799168 1256623004 1320435142 1362960508 1363029824 1389241936 1391261183 1422007076 1436140576 1470011816 1498281274 1508991991 1546612928 1557669152 1594406632 1625068298 1625150944 1627513082 1677489856 1680013504 1712321456 1719636464 1752706396 1822179008 1857220912 1929813899 1965198872 2003093024 2039048648 2078261122 2245941568 2257518146 2330341312 2375155568 2385302192 2431173388 2513246008 2640870284 2691656251 2725921016 2778483872 2782522366 2844014152 2872281152 2940023632 2996562548 3017983982 3115338304 3188813264 3250136596 3250301888 3255026164 3317622821 3424642912 3439272928 3505412792 3714441824 3859627798 3930397744 4006186048 4078097296 4156522244 4515036292 4601863913 4621522997 4750311136 4770604384 4862346776 5026492016 5281740568 5383312502 5451842032 5556967744 5565044732 5688028304 5696295787 5880047264 5993125096 6035967964 6377626528 6500273192 6510052328 6635245642 6849285824 6878545856 7010825584 7428883648 7719255596 7860795488 7901313511 8156194592 8313044488 9030072584 9203727826 9243045994 9500622272 9541208768 9724693552 9738828281 10052984032 10562943937 10563481136 10766625004 10903684064 11130089464 11376056608 11392591574 11760094528 11986250192 12071935928 12755253056 13000546384 13020104656 13270491284 13508697293 14021651168 15438511192 15721590976 15802627022 16312389184 16626088976 18060145168 18407455652 18486091988 18841593757 19449387104 19477656562 20105968064 21125887874 21126962272 21533250008 21807368128 22260178928 22752113216 22785183148 23223359747 23972500384 24143871856 26001092768 26040209312 26540982568 27017394586 28043302336 30877022384 31605254044 32213047391 33252177952 34991531263 36120290336 36814911304 36972183976 37683187514 38898774208 38955313124 42251775748 42253924544 43066500016 43129096673 44520357856 45570366296 46446719494 47945000768 48287743712 52002185536 52080418624 53081965136 54034789172 59824230869 61754044768 63210508088 64426094782 66504355904 69983062526 72240580672 73629822608 73944367952 75366375028 77910626248 84503551496 86133000032 86258193346 89040715712 91140732592 92893438988 96575487424 106163930272 108069578344 119648461738 123508089536 126421016176 128852189564 139966125052 142657781303 147259645216 147888735904 150732750056 155821252496 169007102992 172266000064 172516386692 182281465184 185786877976 212327860544 216139156688 239296923476 244940718841 252842032352 257704379128 279932250104 285315562606 294519290432 295777471808 301465500112 301903676711 311642504992 338014205984 345032773384 364562930368 371573755952 418769616083 432278313376 478593846952 489881437682 505684064704 515408758256 559864500208 570631125212 602931000224 603807353422 623285009984 676028411968 690065546768 743147511904 837539232166 864556626752 957187693904 979762875364 998604469121 1030817516512 1119729000416 1141262250424 1205862000448 1207614706844 1380131093536 1486295023808 1675078464332 1854551156939 1914375387808 1959525750728 1997208938242 2061635033024 2239458000832 2282524500848 2415229413688 2760262187072 3350156928664 3709102313878 3828750775616 3919051501456 3994417876484 4565049001696 4830458827376 6700313857328 7418204627756 7838103002912 7988835752968 9130098003392 9660917654752 12981858098573 13400627714656 14836409255512 15676206005824 15977671505936 19321835309504 25963716197146 26801255429312 29672818511024 31955343011872 51927432394292 59345637022048 63910686023744 103854864788584 118691274044096 207709729577168 415419459154336 830838918308672
- Sum of all divisors σ(n): 2188518025921920
- Sum of proper divisors (its aliquot sum) s(n): 1357679107613248
- 830838918308672 is an abundant number, because the sum of its proper divisors (1357679107613248) is greater than itself. Its abundance is 526840189304576
Bases of 830838918308672
- Binary: 101111001110100100110000101001011101100011010000002
- Hexadecimal: 0x2F3A4C2976340
- Base-36: 86IA4OC37K
Squares and roots of 830838918308672
- 830838918308672 squared (8308389183086722) is 690293308176324145089070403584
- 830838918308672 cubed (8308389183086723) is 573522545480931921944480594252487421727080448
-
The
square root of 830838918308672 is 28824276.5444108241 -
The
cube root of 830838918308672 is 94009.6156720137
Scales and comparisons
How big is 830838918308672?- 830,838,918,308,672 seconds is equal to 26,418,107 years, 33 weeks, 5 days, 3 hours, 4 minutes, 32 seconds.
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To count from 1 to 830,838,918,308,672 would take you about sixty-six million, forty-five thousand, two hundred sixty-nine 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 830838918308672 cubic inches would be around 7834.1 feet tall.
Recreational maths with 830838918308672
- 830838918308672 backwards is 276803819838038
- The number of decimal digits it has is: 15
- The sum of 830838918308672's digits is 74
- More coming soon!
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The information we have on file for 830838918308672 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!
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