137305612495704982770
137,305,612,495,704,982,770 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137305612495704982770 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 480 divisors.
137305612495704982770 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 137305612495704982770:
2 × 32 × 5 × 74 × 41 × 53 × 292411126561
(2 × 3 × 3 × 5 × 7 × 7 × 7 × 7 × 41 × 53 × 292411126561)See below for interesting mathematical facts about the number 137305612495704982770 from the Numbermatics database.
Names of 137305612495704982770
- Cardinal: 137305612495704982770 can be written as One hundred thirty-seven quintillion, three hundred five quadrillion, six hundred twelve trillion, four hundred ninety-five billion, seven hundred four million, nine hundred eighty-two thousand, seven hundred seventy.
Scientific notation
- Scientific notation: 1.3730561249570498277 × 1020
Factors of 137305612495704982770
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 292411126672
Divisors of 137305612495704982770
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 5 6 7 9 10 14 15 18 21 30 35 41 42 45 49 53 63 70 82 90 98 105 106 123 126 147 159 205 210 245 246 265 287 294 315 318 343 369 371 410 441 477 490 530 574 615 630 686 735 738 742 795 861 882 954 1029 1113 1230 1435 1470 1590 1715 1722 1845 1855 2009 2058 2173 2205 2226 2385 2401 2583 2597 2870 3087 3339 3430 3690 3710 4018 4305 4346 4410 4770 4802 5145 5166 5194 5565 6027 6174 6519 6678 7203 7791 8610 10045 10290 10865 11130 12005 12054 12915 12985 13038 14063 14406 15211 15435 15582 16695 18081 18179 19557 20090 21609 21730 23373 24010 25830 25970 28126 30135 30422 30870 32595 33390 36015 36162 36358 38955 39114 42189 43218 45633 46746 54537 60270 65190 70315 72030 76055 77910 84378 90405 90895 91266 97785 98441 106477 108045 109074 116865 126567 127253 136899 140630 152110 163611 180810 181790 195570 196882 210945 212954 216090 228165 233730 253134 254506 272685 273798 295323 319431 327222 381759 421890 456330 492205 532385 545370 590646 632835 636265 638862 684495 745339 763518 818055 885969 958293 984410 1064770 1145277 1265670 1272530 1368990 1476615 1490678 1597155 1636110 1771938 1908795 1916586 2236017 2290554 2953230 3194310 3726695 3817590 4429845 4472034 4791465 5217373 5726385 6708051 7453390 8859690 9582930 10434746 11180085 11452770 13416102 15652119 22360170 26086865 31304238 33540255 46956357 52173730 67080510 78260595 93912714 156521190 234781785 469563570 292411126561 584822253122 877233379683 1462055632805 1754466759366 2046877885927 2631700139049 2924111265610 4093755771854 4386166898415 5263400278098 6140633657781 8772333796830 10234389429635 11988856189001 12281267315562 13158500695245 14328145201489 15497789707733 18421900973343 20468778859270 23977712378002 26317001390490 28656290402978 30703168288905 30995579415466 35966568567003 36843801946686 42984435604467 46493369123199 59944280945005 61406336577810 71640726007445 71933137134006 77488948538665 83921993323007 85968871208934 92109504866715 92986738246398 100297016410423 107899705701009 108484527954131 119888561890010 128953306813401 139480107369597 143281452014890 154977897077330 167843986646014 179832842835015 184219009733430 200594032820846 214922178022335 215799411402018 216969055908262 232466845615995 251765979969021 257906613626802 278960214739194 300891049231269 325453583862393 359665685670030 419609966615035 429844356044670 464933691231990 501485082052115 503531959938042 539498528505045 542422639770655 587453953261049 601782098462538 635409378017053 644766534067005 650907167724786 697400536847985 702079114872961 755297939907063 759391695678917 839219933230070 902673147693807 976360751587179 1002970164104230 1078997057010090 1084845279541310 1174907906522098 1258829899845105 1270818756034106 1289533068134010 1394801073695970 1404158229745922 1504455246156345 1510595879814126 1518783391357834 1627267919311965 1762361859783147 1805346295387614 1906228134051159 1952721503174358 2106237344618883 2278175087036751 2517659799690210 2937269766305245 3008910492312690 3177046890085265 3254535838623930 3510395574364805 3524723719566294 3776489699535315 3796958478394585 3812456268102318 4112177672827343 4212474689237766 4447865646119371 4513365738469035 4556350174073502 4881803757935895 5287085579349441 5315741869752419 5718684402153477 5874539532610490 6318712033856649 6354093780170530 6834525261110253 7020791148729610 7552979399070630 7593916956789170 8224355345654686 8811809298915735 8895731292238742 9026731476938070 9531140670255795 9763607515871790 10531186723094415 10574171158698882 10631483739504838 11390875435183755 11437368804306954 12336533018482029 12637424067713298 13343596938358113 13669050522220506 15947225609257257 17623618597831470 19062281340511590 20560888364136715 21062373446188830 22239328230596855 22781750870367510 24673066036964058 26435427896747205 26578709348762095 26687193876716226 28593422010767385 28785243709791401 31135059522835597 31593560169283245 31894451218514514 34172626305551265 37009599055446087 37210193088266933 40030790815074339 41121776728273430 44478656461193710 47841676827771771 52870855793494410 53157418697524190 57186844021534770 57570487419582802 61682665092410145 62270119045671194 63187120338566490 66717984691790565 68345252611102530 74019198110892174 74420386176533866 79736128046286285 80061581630148678 86355731129374203 93405178568506791 95683353655543542 111630579264800799 123365330184820290 133435969383581130 143926218548957005 155675297614177985 159472256092572570 172711462258748406 185047995277230435 186050965441334665 186810357137013582 200153954075371695 217945416659849179 223261158529601598 239208384138858855 259067193388122609 280215535705520373 287852437097914010 311350595228355970 334891737794402397 370095990554460870 372101930882669330 400307908150743390 431778655646871015 435890833319698358 467025892842533955 478416768277717710 518134386776245218 558152896324003995 560431071411040746 653836249979547537 669783475588804794 863557311293742030 934051785685067910 1089727083299245895 1116305792648007990 1295335966940613045 1307672499959095074 1401077678527601865 1525617916618944253 1674458688972011985 1961508749938642611 2179454166598491790 2590671933881226090 2802155357055203730 3051235833237888506 3269181249897737685 3348917377944023970 3923017499877285222 4576853749856832759 6538362499795475370 7628089583094721265 9153707499713665518 9807543749693213055 13730561249570498277 15256179166189442530 19615087499386426110 22884268749284163795 27461122499140996554 45768537498568327590 68652806247852491385 137305612495704982770
- Sum of all divisors σ(n): 434676248733721975344
- Sum of proper divisors (its aliquot sum) s(n): 297370636238016992574
- 137305612495704982770 is an abundant number, because the sum of its proper divisors (297370636238016992574) is greater than itself. Its abundance is 160065023742312009804
Bases of 137305612495704982770
- Binary: 11101110001011111111000011100010110101010011110111010000100111100102
- Hexadecimal: 0x7717F8716A9EE84F2
- Base-36: SZ6M1GK10DIWI
Squares and roots of 137305612495704982770
- 137305612495704982770 squared (1373056124957049827702) is 18852831222820696307092040423005996872900
- 137305612495704982770 cubed (1373056124957049827703) is 2588599538327546449185463844316039806993951906287568379933000
-
The
square root of 137305612495704982770 is 11717747756.9584583873 -
The
cube root of 137305612495704982770 is 5158967.1592172033
Scales and comparisons
How big is 137305612495704982770?- 137,305,612,495,704,982,770 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,305,612,495,704,982,770 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 137305612495704982770 cubic inches would be around 429913.9 feet tall.
Recreational maths with 137305612495704982770
- 137305612495704982770 backwards is 077289407594216503731
- 137305612495704982770 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 137305612495704982770's digits is 90
- More coming soon!
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The information we have on file for 137305612495704982770 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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