72972567903932928
72,972,567,903,932,928 is an even composite number composed of five prime numbers multiplied together.
72972567903932928 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 72972567903932928:
29 × 33 × 7 × 11 × 68554375511
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 68554375511)See below for interesting mathematical facts about the number 72972567903932928 from the Numbermatics database.
Names of 72972567903932928
- Cardinal: 72972567903932928 can be written as Seventy-two quadrillion, nine hundred seventy-two trillion, five hundred sixty-seven billion, nine hundred three million, nine hundred thirty-two thousand, nine hundred twenty-eight.
Scientific notation
- Scientific notation: 7.2972567903932928 × 1016
Factors of 72972567903932928
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 68554375534
Divisors of 72972567903932928
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 54 56 63 64 66 72 77 84 88 96 99 108 112 126 128 132 144 154 168 176 189 192 198 216 224 231 252 256 264 288 297 308 336 352 378 384 396 432 448 462 504 512 528 576 594 616 672 693 704 756 768 792 864 896 924 1008 1056 1152 1188 1232 1344 1386 1408 1512 1536 1584 1728 1792 1848 2016 2079 2112 2304 2376 2464 2688 2772 2816 3024 3168 3456 3584 3696 4032 4158 4224 4608 4752 4928 5376 5544 5632 6048 6336 6912 7392 8064 8316 8448 9504 9856 10752 11088 12096 12672 13824 14784 16128 16632 16896 19008 19712 22176 24192 25344 29568 32256 33264 38016 39424 44352 48384 50688 59136 66528 76032 88704 96768 118272 133056 152064 177408 266112 354816 532224 1064448 68554375511 137108751022 205663126533 274217502044 411326253066 479880628577 548435004088 616989379599 754098130621 822652506132 959761257154 1096870008176 1233978759198 1439641885731 1508196261242 1645305012264 1850968138797 1919522514308 2193740016352 2262294391863 2467957518396 2879283771462 3016392522484 3290610024528 3701936277594 3839045028616 4318925657193 4387480032704 4524588783726 4935915036792 5278686914347 5758567542924 6032785044968 6581220049056 6786883175589 7403872555188 7678090057232 8637851314386 8774960065408 9049177567452 9871830073584 10557373828694 11517135085848 12065570089936 12956776971579 13162440098112 13573766351178 14807745110376 15356180114464 15836060743041 17275702628772 17549920130816 18098355134904 19743660147168 20360649526767 21114747657388 23034270171696 24131140179872 25913553943158 26324880196224 27147532702356 29615490220752 30712360228928 31672121486082 34551405257544 35099840261632 36196710269808 39487320294336 40721299053534 42229495314776 46068540343392 47508182229123 48262280359744 51827107886316 52649760392448 54295065404712 59230980441504 61424720457856 63344242972164 69102810515088 72393420539616 78974640588672 81442598107068 84458990629552 92137080686784 95016364458246 96524560719488 103654215772632 105299520784896 108590130809424 118461960883008 122849440915712 126688485944328 138205621030176 142524546687369 144786841079232 157949281177344 162885196214136 168917981259104 184274161373568 190032728916492 193049121438976 207308431545264 217180261618848 236923921766016 245698881831424 253376971888656 276411242060352 285049093374738 289573682158464 315898562354688 325770392428272 337835962518208 368548322747136 380065457832984 386098242877952 414616863090528 434360523237696 473847843532032 506753943777312 552822484120704 570098186749476 579147364316928 651540784856544 675671925036416 737096645494272 760130915665968 829233726181056 868721046475392 947695687064064 1013507887554624 1105644968241408 1140196373498952 1158294728633856 1303081569713088 1351343850072832 1520261831331936 1658467452362112 1737442092950784 2027015775109248 2211289936482816 2280392746997904 2606163139426176 2702687700145664 3040523662663872 3316934904724224 3474884185901568 4054031550218496 4560785493995808 5212326278852352 6081047325327744 6633869809448448 8108063100436992 9121570987991616 10424652557704704 12162094650655488 18243141975983232 24324189301310976 36486283951966464 72972567903932928
- Sum of all divisors σ(n): 269303524411299840
- Sum of proper divisors (its aliquot sum) s(n): 196330956507366912
- 72972567903932928 is an abundant number, because the sum of its proper divisors (196330956507366912) is greater than itself. Its abundance is 123358388603433984
Bases of 72972567903932928
- Binary: 1000000110100000000101001111101000100001100010010000000002
- Hexadecimal: 0x1034029F4431200
- Base-36: JYIM6WI4QO0
Squares and roots of 72972567903932928
- 72972567903932928 squared (729725679039329282) is 5324995666494102121067090322653184
- 72972567903932928 cubed (729725679039329283) is 388578607861389446535735585092046526999685341642752
-
The
square root of 72972567903932928 is 270134351.5807142363 -
The
cube root of 72972567903932928 is 417881.5623786595
Scales and comparisons
How big is 72972567903932928?- 72,972,567,903,932,928 seconds is equal to 2,320,301,940 years, 19 weeks, 2 days, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 72,972,567,903,932,928 would take you about six billion, nine hundred sixty million, nine hundred five thousand, eight hundred twenty-one 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 72972567903932928 cubic inches would be around 34823.5 feet tall.
Recreational maths with 72972567903932928
- 72972567903932928 backwards is 82923930976527927
- The number of decimal digits it has is: 17
- The sum of 72972567903932928's digits is 90
- More coming soon!
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