120628293001216
120,628,293,001,216 is an even composite number composed of seven prime numbers multiplied together.
What does the number 120628293001216 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2016 divisors.
120628293001216 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 120628293001216:
213 × 72 × 11 × 132 × 17 × 37 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 11 × 13 × 13 × 17 × 37 × 257)See below for interesting mathematical facts about the number 120628293001216 from the Numbermatics database.
Names of 120628293001216
- Cardinal: 120628293001216 can be written as One hundred twenty trillion, six hundred twenty-eight billion, two hundred ninety-three million, one thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.20628293001216 × 1014
Factors of 120628293001216
Divisors of 120628293001216
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 17 22 26 28 32 34 37 44 49 52 56 64 68 74 77 88 91 98 104 112 119 128 136 143 148 154 169 176 182 187 196 208 221 224 238 256 257 259 272 286 296 308 338 352 364 374 392 407 416 442 448 476 481 512 514 518 539 544 572 592 616 629 637 676 704 728 748 784 814 832 833 884 896 952 962 1001 1024 1028 1036 1078 1088 1144 1183 1184 1232 1258 1274 1309 1352 1408 1456 1496 1547 1568 1628 1664 1666 1768 1792 1799 1813 1859 1904 1924 2002 2048 2056 2072 2156 2176 2288 2366 2368 2431 2464 2516 2548 2618 2704 2816 2827 2849 2873 2912 2992 3094 3136 3256 3328 3332 3341 3367 3536 3584 3598 3626 3718 3808 3848 4004 4096 4112 4144 4312 4352 4369 4403 4576 4732 4736 4862 4928 5032 5096 5236 5291 5408 5632 5654 5698 5746 5824 5984 6188 6253 6272 6512 6656 6664 6682 6734 6919 7007 7072 7168 7196 7252 7436 7616 7696 8008 8177 8192 8224 8281 8288 8624 8704 8738 8806 9152 9163 9464 9472 9509 9724 9856 10064 10192 10472 10582 10816 10829 11264 11308 11396 11492 11648 11968 12376 12506 12544 12593 13013 13024 13312 13328 13364 13468 13838 14014 14144 14336 14392 14504 14872 15232 15392 16016 16354 16448 16562 16576 17017 17248 17408 17476 17612 18304 18326 18928 18944 19018 19448 19712 19789 19943 20111 20128 20384 20944 21164 21632 21658 22528 22616 22792 22984 23296 23387 23569 23936 24752 25012 25088 25186 26026 26048 26624 26656 26728 26936 27676 28028 28288 28672 28784 29008 29744 30464 30583 30784 30821 31603 32032 32708 32896 33124 33152 34034 34496 34816 34952 35224 36608 36652 36751 37037 37856 37888 38036 38896 39424 39578 39886 40222 40256 40768 41888 42328 43264 43316 43433 43771 45056 45232 45584 45968 46592 46774 47138 47872 48059 48433 49504 50024 50176 50372 52052 52096 53248 53312 53456 53872 55352 56056 56576 56797 57239 57344 57568 58016 59488 60928 61166 61568 61642 63206 64064 65416 65792 66248 66304 66563 68068 68783 68992 69632 69904 70448 73216 73304 73502 74074 75712 75776 76072 77792 78848 79156 79772 80444 80512 81536 83776 84656 86528 86632 86866 87542 89947 90112 90464 91091 91168 91936 93184 93548 94276 95744 96118 96866 99008 100048 100352 100744 104104 104192 104599 106301 106496 106624 106912 107744 110704 112112 113152 113594 114478 115136 116032 118976 119119 121856 122332 123136 123284 123617 126412 128128 130832 131584 132496 132608 133126 136136 137566 137984 138523 139264 139808 140777 140896 146432 146608 147004 148148 151424 151552 152144 155584 157696 158312 159544 160888 161024 161653 163072 163709 167552 169312 173056 173264 173732 175084 179894 180928 182182 182336 183872 186368 187096 188552 191488 192236 193732 198016 200096 200704 201488 208208 208384 209198 212602 213248 213824 214081 215488 221221 221408 224224 226304 227188 228956 230272 232064 237952 238238 243712 244664 246272 246568 247234 252824 256256 257257 259259 261664 263168 264992 265216 266252 272272 275132 275968 277046 279616 281554 281792 292864 293216 294008 296296 302848 303104 304031 304288 306397 311168 315392 316624 319088 321776 322048 323306 326144 327418 335104 336413 338624 339031 346112 346528 347464 350168 359788 361856 364364 364672 367744 372736 374192 377104 382976 384472 387464 396032 397579 400192 400673 401408 402976 416416 416768 418396 425204 426496 427648 428162 430976 442442 442816 448448 452608 454376 457912 460544 464128 465941 475904 476476 477763 481481 487424 489328 492544 493136 494468 505648 512512 514514 518518 523328 526336 529984 530432 532504 544544 550264 551936 554092 559232 563108 563584 585728 586432 588016 592592 605696 608062 608576 612794 622336 624767 629629 630784 633248 638176 643552 644096 646612 652288 654836 670208 672826 677248 678062 692224 693056 694928 700336 719576 723712 728728 729344 732193 735488 738361 744107 745472 748384 754208 765952 768944 774928 792064 795158 800384 801346 805952 832832 833536 836792 850408 852992 855296 856324 861952 865319 884884 885632 896896 905216 908752 915824 921088 928256 931882 951808 952952 955526 962962 974848 978656 985088 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5576381888 5699692544 5759563264 5917793024 5993059072 5998125056 6048653312 6095724544 6119535968 6202606592 6342848512 6367625264 6373007872 6582358016 6590269504 6849210368 6902511616 6929474552 6993755392 7088693248 7277286016 7283437568 7333918592 7376072704 7531736576 7837077248 7919399488 8111100928 8316898304 8381621248 8414361956 8528584064 8607698944 8717176832 8956659712 9026361344 9050742272 9061620568 9262000384 9269829632 9578995712 9616413664 9645633536 9746953216 10079235712 10356137792 10496718848 10585143296 10667517952 10709187944 11139375104 11152763776 11399385088 11519126528 11835586048 11986118144 12239071936 12405213184 12685697024 12735250528 12746015744 13164716032 13180539008 13698420736 13805023232 13858949104 13987510784 14554572032 14566875136 14667837184 14725133423 14752145408 15063473152 15674154496 15838798976 16222201856 16633796608 16763242496 16828723912 17057168128 17215397888 17434353664 17913319424 18052722688 18101484544 18123241136 18524000768 19232827328 19291267072 19493906432 20158471424 20712275584 20993437696 21170286592 21335035904 21418375888 22305527552 22798770176 23038253056 23671172096 23972236288 24478143872 24810426368 25470501056 25492031488 26361078016 27396841472 27610046464 27717898208 27975021568 29109144064 29335674368 29450266846 30126946304 31348308992 31677597952 32444403712 33267593216 33526484992 33657447824 34114336256 35826638848 36105445376 36202969088 36246482272 37048001536 38465654656 38987812864 40316942848 41424551168 41986875392 42340573184 42670071808 42836751776 44611055104 46076506112 47342344192 47944472576 48956287744 49620852736 50941002112 50984062976 52722156032 55435796416 55950043136 58218288128 58671348736 58900533692 60253892608 62696617984 63355195904 64888807424 66535186432 67052969984 67314895648 68228672512 72405938176 72492964544 74096003072 76931309312 77975625728 80633885696 82849102336 85673503552 89222110208 92153012224 94684688384 95888945152 97912575488 101882004224 101968125952 105444312064 110871592832 111900086272 116436576256 117342697472 117801067384 120507785216 125393235968 126710391808 134629791296 136457345024 144811876352 144985929088 148192006144 153862618624 161267771392 165698204672 171347007104 178444220416 189369376768 191777890304 195825150976 203764008448 210888624128 221743185664 223800172544 232873152512 234685394944 235602134768 250786471936 253420783616 269259582592 272914690048 289971858176 296384012288 307725237248 322535542784 331396409344 342694014208 356888440832 391650301952 407528016896 421777248256 443486371328 465746305024 469370789888 471204269536 506841567232 538519165184 545829380096 579943716352 615450474496 645071085568 662792818688 685388028416 713776881664 783300603904 815056033792 843554496512 886972742656 942408539072 1013683134464 1077038330368 1159887432704 1230900948992 1325585637376 1370776056832 1566601207808 1630112067584 1773945485312 1884817078144 2154076660736 2319774865408 2461801897984 2741552113664 3260224135168 3547890970624 3769634156288 4308153321472 4639549730816 5483104227328 7095781941248 7539268312576 8616306642944 9279099461632 10966208454656 15078536625152 17232613285888 30157073250304 60314146500608 120628293001216
- Sum of all divisors σ(n): 361889873213472
- Sum of proper divisors (its aliquot sum) s(n): 241261580212256
- 120628293001216 is an abundant number, because the sum of its proper divisors (241261580212256) is greater than itself. Its abundance is 120633287211040
Bases of 120628293001216
- Binary: 110110110110101111101101000110111100000000000002
- Hexadecimal: 0x6DB5F68DE000
- Base-36: 16RBVF4F0G
Squares and roots of 120628293001216
- 120628293001216 squared (1206282930012162) is 14551185072387217008577478656
- 120628293001216 cubed (1206282930012163) is 1755284616426845663813290464399644422045696
-
The
square root of 120628293001216 is 10983091.2315802969 -
The
cube root of 120628293001216 is 49410.1752277307
Scales and comparisons
How big is 120628293001216?- 120,628,293,001,216 seconds is equal to 3,835,606 years, 30 weeks, 4 days, 15 hours, 16 seconds.
-
To count from 1 to 120,628,293,001,216 would take you about nine million, five hundred eighty-nine thousand and sixteen 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 120628293001216 cubic inches would be around 4117.5 feet tall.
Recreational maths with 120628293001216
- 120628293001216 backwards is 612100392826021
- The number of decimal digits it has is: 15
- The sum of 120628293001216's digits is 43
- More coming soon!
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Cite this page
MLA style:
"Number 120628293001216 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
APA style:
Numbermatics. (2024). Number 120628293001216 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/120628293001216/
Chicago style:
Numbermatics. 2024. "Number 120628293001216 - Facts about the integer". https://numbermatics.com/n/120628293001216/
The information we have on file for 120628293001216 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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