972738653048064
972,738,653,048,064 is an even composite number composed of six prime numbers multiplied together.
What does the number 972738653048064 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 648 divisors.
972738653048064 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 972738653048064:
28 × 32 × 7 × 19 × 832 × 460793
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 19 × 83 × 83 × 460793)See below for interesting mathematical facts about the number 972738653048064 from the Numbermatics database.
Names of 972738653048064
- Cardinal: 972738653048064 can be written as Nine hundred seventy-two trillion, seven hundred thirty-eight billion, six hundred fifty-three million, forty-eight thousand and sixty-four.
Scientific notation
- Scientific notation: 9.72738653048064 × 1014
Factors of 972738653048064
Divisors of 972738653048064
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 64 72 76 83 84 96 112 114 126 128 133 144 152 166 168 171 192 224 228 249 252 256 266 288 304 332 336 342 384 399 448 456 498 504 532 576 581 608 664 672 684 747 768 798 896 912 996 1008 1064 1152 1162 1197 1216 1328 1344 1368 1494 1577 1596 1743 1792 1824 1992 2016 2128 2304 2324 2394 2432 2656 2688 2736 2988 3154 3192 3486 3648 3984 4032 4256 4648 4731 4788 4864 5229 5312 5376 5472 5976 6308 6384 6889 6972 7296 7968 8064 8512 9296 9462 9576 10458 10624 10944 11039 11952 12616 12768 13778 13944 14193 14592 15936 16128 17024 18592 18924 19152 20667 20916 21248 21888 22078 23904 25232 25536 27556 27888 28386 31872 33117 34048 37184 37848 38304 41334 41832 43776 44156 47808 48223 50464 51072 55112 55776 56772 62001 63744 66234 74368 75696 76608 82668 83664 88312 95616 96446 99351 100928 102144 110224 111552 113544 124002 130891 132468 144669 148736 151392 153216 165336 167328 176624 191232 192892 198702 201856 220448 223104 227088 248004 261782 264936 289338 302784 306432 330672 334656 353248 385784 392673 397404 403712 434007 440896 446208 454176 460793 496008 523564 529872 578676 605568 661344 669312 706496 771568 785346 794808 868014 881792 908352 916237 921586 992016 1047128 1059744 1157352 1178019 1211136 1322688 1338624 1382379 1412992 1543136 1570692 1589616 1736028 1763584 1816704 1832474 1843172 1984032 2094256 2119488 2314704 2356038 2645376 2748711 2764758 2825984 3086272 3141384 3179232 3225551 3472056 3633408 3664948 3686344 3968064 4147137 4188512 4238976 4629408 4712076 5290752 5497422 5529516 6172544 6282768 6358464 6451102 6944112 7329896 7372688 7936128 8246133 8294274 8377024 8477952 8755067 9258816 9424152 9676653 10994844 11059032 12345088 12565536 12716928 12902204 13888224 14659792 14745376 15872256 16492266 16588548 16754048 17510134 18517632 18848304 19353306 21989688 22118064 25131072 25433856 25804408 26265201 27776448 29029959 29319584 29490752 32984532 33177096 33508096 35020268 37035264 37696608 38245819 38706612 43979376 44236128 50262144 51608816 52530402 55552896 58059918 58639168 58981504 61285469 65969064 66354192 70040536 75393216 76491638 77413224 78795603 87958752 88472256 100524288 103217632 105060804 111105792 114737457 116119836 117278336 117963008 122570938 131938128 132708384 140081072 150786432 152983276 154826448 157591206 175917504 176944512 183856407 206435264 210121608 229474914 232239672 234556672 245141876 263876256 265416768 267720733 280162144 301572864 305966552 309652896 315182412 344212371 351835008 353889024 367712814 412870528 420243216 458949828 464479344 490283752 527752512 530833536 535441466 551569221 560324288 611933104 619305792 630364824 688424742 703670016 726670561 735425628 803162199 825741056 840486432 917899656 928958688 980567504 1055505024 1061667072 1070882932 1103138442 1120648576 1223866208 1238611584 1260729648 1376849484 1453341122 1470851256 1606324398 1680972864 1835799312 1857917376 1961135008 2111010048 2141765864 2180011683 2206276884 2241297152 2409486597 2447732416 2477223168 2521459296 2753698968 2906682244 2941702512 3174402977 3212648796 3361945728 3671598624 3715834752 3922270016 4283531728 4360023366 4412553768 4818973194 4895464832 5042918592 5086693927 5507397936 5813364488 5883405024 6348805954 6425297592 6540035049 6723891456 7343197248 7431669504 7844540032 8567063456 8720046732 8825107536 9523208931 9637946388 9790929664 10085837184 10173387854 11014795872 11626728976 11766810048 12697611908 12850595184 13080070098 14686394496 15260081781 15689080064 17134126912 17440093464 17650215072 19046417862 19275892776 20171674368 20346775708 22029591744 22220820839 23253457952 23533620096 25395223816 25701190368 26160140196 28569626793 29372788992 30520163562 34268253824 34880186928 35300430144 38092835724 38551785552 40693551416 44059183488 44441641678 45780245343 46506915904 47067240192 50790447632 51402380736 52320280392 57139253586 60313656563 61040327124 66662462517 68536507648 69760373856 70600860288 76185671448 77103571104 81387102832 88118366976 88883283356 91560490686 93013831808 101580895264 102804761472 104640560784 114278507172 120627313126 122080654248 133324925034 139520747712 141201720576 152371342896 154207142208 162774205664 177766566712 180940969689 183120981372 186027663616 199987387551 203161790528 205609522944 209281121568 228557014344 241254626252 244161308496 266649850068 279041495424 304742685792 308414284416 325548411328 355533133424 361881939378 366241962744 399974775102 406323581056 418562243136 422195595941 457114028688 482509252504 488322616992 533299700136 542822909067 558082990848 609485371584 616828568832 651096822656 711066266848 723763878756 732483925488 799949550204 812647162112 837124486272 844391191882 914228057376 965018505008 976645233984 1066599400272 1085645818134 1218970743168 1266586787823 1302193645312 1422132533696 1447527757512 1464967850976 1599899100408 1674248972544 1688782383764 1828456114752 1930037010016 1953290467968 2133198800544 2171291636268 2437941486336 2533173575646 2844265067392 2895055515024 2929935701952 3199798200816 3377564767528 3656912229504 3799760363469 3860074020032 3906580935936 4266397601088 4342583272536 5066347151292 5688530134784 5790111030048 5859871403904 6399596401632 6755129535056 7313824459008 7599520726938 7720148040064 8532795202176 8685166545072 10132694302584 11580222060096 11719742807808 12799192803264 13510259070112 15199041453876 15440296080128 17065590404352 17370333090144 20265388605168 23160444120192 25598385606528 27020518140224 30398082907752 34740666180288 40530777210336 46320888240384 51196771213056 54041036280448 60796165815504 69481332360576 81061554420672 108082072560896 121592331631008 138962664721152 162123108841344 243184663262016 324246217682688 486369326524032 972738653048064
- Sum of all divisors σ(n): 3415157331418560
- Sum of proper divisors (its aliquot sum) s(n): 2442418678370496
- 972738653048064 is an abundant number, because the sum of its proper divisors (2442418678370496) is greater than itself. Its abundance is 1469680025322432
Bases of 972738653048064
- Binary: 110111010010110011010111011101111111001101000000002
- Hexadecimal: 0x374B35DDFCD00
- Base-36: 9KT1YUNNK0
Squares and roots of 972738653048064
- 972738653048064 squared (9727386530480642) is 946220487133761830237894148096
- 972738653048064 cubed (9727386530480643) is 920425242140978455062020951784039699022086144
-
The
square root of 972738653048064 is 31188758.4403108935 -
The
cube root of 972738653048064 is 99082.9034860671
Scales and comparisons
How big is 972738653048064?- 972,738,653,048,064 seconds is equal to 30,930,080 years, 15 weeks, 2 hours, 14 minutes, 24 seconds.
-
To count from 1 to 972,738,653,048,064 would take you about seventy-seven million, three hundred twenty-five thousand, two hundred 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 972738653048064 cubic inches would be around 8256.9 feet tall.
Recreational maths with 972738653048064
- 972738653048064 backwards is 460840356837279
- 972738653048064 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 972738653048064's digits is 72
- More coming soon!
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The information we have on file for 972738653048064 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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