413997063726405120
413,997,063,726,405,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 413997063726405120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 320 divisors.
413997063726405120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 413997063726405120:
29 × 3 × 5 × 13 × 14867 × 278913379
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 14867 × 278913379)See below for interesting mathematical facts about the number 413997063726405120 from the Numbermatics database.
Names of 413997063726405120
- Cardinal: 413997063726405120 can be written as Four hundred thirteen quadrillion, nine hundred ninety-seven trillion, sixty-three billion, seven hundred twenty-six million, four hundred five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.1399706372640512 × 1017
Factors of 413997063726405120
Divisors of 413997063726405120
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 512 520 624 640 768 780 832 960 1040 1248 1280 1536 1560 1664 1920 2080 2496 2560 3120 3328 3840 4160 4992 6240 6656 7680 8320 9984 12480 14867 16640 19968 24960 29734 33280 44601 49920 59468 74335 89202 99840 118936 148670 178404 193271 223005 237872 297340 356808 386542 446010 475744 579813 594680 713616 773084 892020 951488 966355 1159626 1189360 1427232 1546168 1784040 1902976 1932710 2319252 2378720 2854464 2899065 3092336 3568080 3805952 3865420 4638504 4757440 5708928 5798130 6184672 7136160 7611904 7730840 9277008 9514880 11417856 11596260 12369344 14272320 15461680 18554016 19029760 22835712 23192520 24738688 28544640 30923360 37108032 38059520 46385040 49477376 57089280 61846720 74216064 92770080 98954752 114178560 123693440 148432128 185540160 247386880 278913379 296864256 371080320 494773760 557826758 742160640 836740137 1115653516 1394566895 1484321280 1673480274 2231307032 2789133790 3346960548 3625873927 4183700685 4462614064 5578267580 6693921096 7251747854 8367401370 8925228128 10877621781 11156535160 13387842192 14503495708 16734802740 17850456256 18129369635 21755243562 22313070320 26775684384 29006991416 33469605480 35700912512 36258739270 43510487124 44626140640 53551368768 54388108905 58013982832 66939210960 71401825024 72517478540 87020974248 89252281280 107102737536 108776217810 116027965664 133878421920 142803650048 145034957080 174041948496 178504562560 214205475072 217552435620 232055931328 267756843840 290069914160 348083896992 357009125120 428410950144 435104871240 464111862656 535513687680 580139828320 696167793984 714018250240 870209742480 928223725312 1071027375360 1160279656640 1392335587968 1740419484960 1856447450624 2142054750720 2320559313280 2784671175936 3480838969920 4146605205593 4641118626560 5569342351872 6961677939840 8293210411186 9282237253120 12439815616779 13923355879680 16586420822372 20733026027965 24879631233558 27846711759360 33172841644744 41466052055930 49759262467116 53905867672709 62199078083895 66345683289488 82932104111860 99518524934232 107811735345418 124398156167790 132691366578976 161717603018127 165864208223720 199037049868464 215623470690836 248796312335580 265382733157952 269529338363545 323435206036254 331728416447440 398074099736928 431246941381672 497592624671160 530765466315904 539058676727090 646870412072508 663456832894880 796148199473856 808588015090635 862493882763344 995185249342320 1061530932631808 1078117353454180 1293740824145016 1326913665789760 1592296398947712 1617176030181270 1724987765526688 1990370498684640 2123061865263616 2156234706908360 2587481648290032 2653827331579520 3184592797895424 3234352060362540 3449975531053376 3980740997369280 4312469413816720 5174963296580064 5307654663159040 6369185595790848 6468704120725080 6899951062106752 7961481994738560 8624938827633440 10349926593160128 10615309326318080 12937408241450160 13799902124213504 15922963989477120 17249877655266880 20699853186320256 25874816482900320 27599804248427008 31845927978954240 34499755310533760 41399706372640512 51749632965800640 68999510621067520 82799412745281024 103499265931601280 137999021242135040 206998531863202560 413997063726405120
- Sum of all divisors σ(n): 1425400189556555520
- Sum of proper divisors (its aliquot sum) s(n): 1011403125830150400
- 413997063726405120 is an abundant number, because the sum of its proper divisors (1011403125830150400) is greater than itself. Its abundance is 597406062103745280
Bases of 413997063726405120
- Binary: 101101111101101000000100010110100010111011110010110000000002
- Hexadecimal: 0x5BED022D1779600
- Base-36: 358DPLI79YIO
Squares and roots of 413997063726405120
- 413997063726405120 squared (4139970637264051202) is 171393568774085141983989518362214400
- 413997063726405120 cubed (4139970637264051203) is 70956434214060925185877224077838275940953754697728000
-
The
square root of 413997063726405120 is 643426035.9407327557 -
The
cube root of 413997063726405120 is 745302.2293579099
Scales and comparisons
How big is 413997063726405120?- 413,997,063,726,405,120 seconds is equal to 13,163,826,049 years, 26 weeks, 13 hours, 52 minutes.
-
To count from 1 to 413,997,063,726,405,120 would take you about thirty-nine billion, four hundred ninety-one million, four hundred seventy-eight thousand, one hundred forty-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 413997063726405120 cubic inches would be around 62108.5 feet tall.
Recreational maths with 413997063726405120
- 413997063726405120 backwards is 021504627360799314
- The number of decimal digits it has is: 18
- The sum of 413997063726405120's digits is 69
- More coming soon!
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