997972729626823041
997,972,729,626,823,041 is an odd composite number composed of five prime numbers multiplied together.
What does the number 997972729626823041 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 600 divisors.
997972729626823041 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred divisors.
Prime factorization of 997972729626823041:
3 × 74 × 134 × 673 × 1272
(3 × 7 × 7 × 7 × 7 × 13 × 13 × 13 × 13 × 67 × 67 × 67 × 127 × 127)See below for interesting mathematical facts about the number 997972729626823041 from the Numbermatics database.
Names of 997972729626823041
- Cardinal: 997972729626823041 can be written as Nine hundred ninety-seven quadrillion, nine hundred seventy-two trillion, seven hundred twenty-nine billion, six hundred twenty-six million, eight hundred twenty-three thousand and forty-one.
Scientific notation
- Scientific notation: 9.97972729626823041 × 1017
Factors of 997972729626823041
Divisors of 997972729626823041
- Number of divisors d(n): 600
-
Complete list of divisors:
1 3 7 13 21 39 49 67 91 127 147 169 201 273 343 381 469 507 637 871 889 1029 1183 1407 1651 1911 2197 2401 2613 2667 3283 3549 4459 4489 4953 6097 6223 6591 7203 8281 8509 9849 11323 11557 13377 13467 15379 16129 18291 18669 21463 22981 24843 25527 28561 31213 31423 33969 34671 42679 43561 46137 48387 57967 58357 59563 64389 68943 79261 80899 85683 93639 94269 107653 110617 112903 128037 130683 147199 150241 160867 173901 175071 178689 199927 209677 219961 237783 242697 279019 298753 300763 304927 322959 331851 338709 405769 408499 416941 441597 450723 482601 554827 566293 570103 599781 629031 659883 753571 758641 774319 790321 837057 896259 902289 914781 1030393 1051687 1080643 1217307 1225497 1250823 1399489 1438021 1467739 1539727 1664481 1698879 1710309 1913587 1953133 2091271 2105341 2260713 2275923 2322957 2370963 2725801 2859493 2918587 3091179 3155061 3241929 3627247 3883789 3909919 3964051 3990721 4198467 4314063 4403217 4619181 5274997 5310487 5420233 5532247 5740761 5859399 6273813 6316023 7212751 7361809 7411339 7564501 8177403 8578479 8755761 9796423 9862333 10066147 10274173 10778089 10881741 11651367 11729757 11892153 11972163 13395109 13671931 14048359 14737387 15824991 15931461 16260699 16596741 18694273 19080607 20016451 20430109 21638253 22085427 22234017 22693503 25390729 27186523 27369433 27935047 29389269 29586999 30198441 30822519 32334267 35435413 37173409 37941631 38196901 38725729 40185327 41015793 42145077 44212161 50489257 50828947 51532663 51879373 52951507 56082819 57241821 60049353 61290327 68574961 69036331 70463029 71919211 72403081 76172187 81559569 82108299 83805141 93765763 95703517 96347407 98338513 103161709 106306239 111520227 113824893 114590703 116177187 128210329 130859911 133564249 140115157 151467771 152486841 154597989 155638119 158854521 177735103 182628667 191586031 195545329 205724883 207108993 211389087 215757633 217209243 243025549 248047891 260213863 265591417 267378307 281297289 287110551 289042221 295015539 309485127 353424799 355802629 363155611 370660549 384630987 392579733 400692747 420345471 460660369 483254317 493241203 496559713 503434477 506821567 533205309 547886001 574758093 586635987 656360341 660776311 669924619 674431849 688369591 722131963 729076647 744143673 780641589 796774251 802134921 897472303 916019377 934949743 941240053 1060274397 1067407887 1089466833 1111981647 1244145721 1252516291 1278400669 1341102217 1368817303 1381981107 1449762951 1479723609 1489679139 1510303431 1520464701 1701178843 1736335237 1821497041 1871648149 1969081023 1982328933 2009773857 2023295547 2065108773 2166395889 2374172671 2490618403 2542089277 2594623843 2692416909 2748058131 2804849229 2823720159 3224622583 3382780219 3452688421 3475917991 3547750969 3732437163 3757548873 3835202007 4023306651 4106451909 4594522387 4625434177 4721022943 4818587137 4851006427 5103536529 5209005711 5464491123 5614944447 6282306121 6412135639 6455276269 6544648201 6588680371 7122518013 7471855209 7626267831 7783871529 8590092043 8709020047 8767614037 8948804683 9387715519 9673867749 10148340657 10358065263 10427753973 10643252907 11908251901 12154346659 12236120689 13101537043 13783567161 13876302531 14163068829 14455761411 14553019281 16282711783 16619208697 17434328821 17794624939 18846918363 19236406917 19365828807 19633944603 19766041113 22572358081 23679461533 24331425937 24834256783 25770276129 26127060141 26302842111 26846414049 28163146557 30864244723 32378039239 33047160601 33730109959 33957044989 35724755703 36463039977 36708362067 39304611129 43976142847 44884949473 45186933883 46120762597 48848135349 49857626091 52302986463 53383874817 60130644301 61373298259 62641632781 63063083551 67717074243 71038384599 72994277811 74502770349 83357763307 83918591497 85080426613 85652844823 91710759301 92592734169 97134117717 99141481803 101190329877 101871134967 113978982481 116334460879 122040301747 131928428541 134654848419 135560801649 138362287791 158006506567 159069568957 170319981559 173839797481 180391932903 184119894777 187924898343 189189250653 216049713061 226646274673 231330124207 237699314923 250073289921 251755774491 255241279839 256958534469 275132277903 307832999929 316308537181 322845338179 341936947443 349003382637 366120905241 420914510107 429613087813 438491429467 441441584857 474019519701 477208706871 510959944677 521519392443 583504343149 587430140479 599569913761 648149139183 679938824019 693990372621 713097944769 797852877367 814341226153 819820086163 923498999787 948925611543 968536014537 1090941689461 1106045545969 1113486982699 1192239870913 1262743530321 1288839263439 1315474288401 1324324754571 1512347991427 1586523922711 1663895204461 1750513029447 1762290421437 1798709741283 2067904396441 2214159760267 2259917367253 2393558632101 2443023678459 2459460258489 2946401570749 3007291614691 3090091093999 3272825068383 3318136637907 3340460948097 3576719612739 4112010983353 4196989396327 4537043974281 4759571768133 4991685613383 5584970141569 5700388583071 5738740603141 6203713189323 6642479280801 6779752101759 7636591826227 7794408878893 8839204712247 9021874844073 9270273281997 10586435939989 10657661120119 11647266431227 12336032950059 12590968188981 14475330775087 15499118321869 16754910424707 17101165749213 17216221809423 20624810995243 21630637657993 22909775478681 23383226636679 28784076883471 29378925774289 31759307819967 31972983360357 34941799293681 39094790990983 40171184221987 43425992325261 46497354965607 53456142783589 54560862152251 61874432985729 64891912973979 74105051579923 74603627840833 86352230650413 88136777322867 101327315425609 117284372972949 120513552665961 138549594561547 151414463605951 160368428350767 163682586456753 201488538184297 222315154739769 223810883522499 281198289553909 303981946276827 374192999485123 381926035065757 415648783684641 454243390817853 522225394885831 604465614552891 709291207979263 843594868661727 969847161930829 1122578998455369 1145778105197271 1566676184657493 1968388026877363 2127873623937789 2619350996395861 2909541485792487 3655577764200817 4965038455854841 5905164080632089 6788930133515803 7858052989187583 10966733292602451 14895115367564523 20366790400547409 25589044349405719 47522510934610621 76767133048217157 142567532803831863 332657576542274347 997972729626823041
- Sum of all divisors σ(n): 1720691864690979360
- Sum of proper divisors (its aliquot sum) s(n): 722719135064156319
- 997972729626823041 is a deficient number, because the sum of its proper divisors (722719135064156319) is less than itself. Its deficiency is 275253594562666722
Bases of 997972729626823041
- Binary: 1101110110011000001011101000111111001110111100001001100000012
- Hexadecimal: 0xDD982E8FCEF0981
- Base-36: 7KYFT2UFI9VL
Squares and roots of 997972729626823041
- 997972729626823041 squared (9979727296268230412) is 995949569078812043046604902728487681
- 997972729626823041 cubed (9979727296268230413) is 993930510024240208249906302450624186904231294535457921
-
The
square root of 997972729626823041 is 998985850.5638721213 -
The
cube root of 997972729626823041 is 999323.7860467001
Scales and comparisons
How big is 997972729626823041?- 997,972,729,626,823,041 seconds is equal to 31,732,445,869 years, 41 weeks, 3 days, 17 hours, 57 minutes, 21 seconds.
-
To count from 1 to 997,972,729,626,823,041 would take you about ninety-five billion, one hundred ninety-seven million, three hundred thirty-seven thousand, six hundred 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 997972729626823041 cubic inches would be around 83277 feet tall.
Recreational maths with 997972729626823041
- 997972729626823041 backwards is 140328626927279799
- The number of decimal digits it has is: 18
- The sum of 997972729626823041's digits is 93
- More coming soon!
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The information we have on file for 997972729626823041 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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